Many of us believe (1) Saving a life is more important than averting any number of headaches. But what about risky cases? Surely: (2) In a single choice, if the risk of death is low enough, and the number of headaches at stake high enough, one should avert the headaches rather than avert the risk of death. And yet, if we will face enough iterations of cases like that in (2), in the long run some of those small risks of (...) serious harms will surely eventuate. And yet: (3) Isn't it still permissible for us to run these repeated risks, despite that knowledge? After all, if it were not, then many of the risky activities that we standardly think permissible would in fact be impermissible. Nobody has yet offered a principle that can accommodate all of 1-3. In this paper, I show that we can accommodate all of these judgements, by taking into account both ex ante and ex post perspectives. In doing so, I clear aside an important obstacle to a viable deontological decision theory. (shrink)

Limited aggregationists argue that when deciding between competing claims to aid we are sometimes required and sometimes forbidden from aggregating weaker claims to outweigh stronger claims. Joe Horton presents a ‘fatal dilemma’ for these views. Views that land on the First Horn of his dilemma suggest that a previously losing group strengthened by fewer and weaker claims can be more choice-worthy than the previously winning group strengthened by more and stronger claims. Views that land on the Second Horn suggest (...) that combining two losing groups together and two winning groups together can turn the losing groups into the winning groups and the winning groups into the losing groups. This paper demonstrates that the ‘fatal dilemma’ is neither fatal nor a dilemma. The First Horn is devastating but avoidable and the Second Horn is unavoidable but not devastating. Nevertheless, Horton’s argument does help to narrow down the acceptable range of views. (shrink)

Human-wildlife interactions frequently lead to conflicts – about the fair use of natural resources, for example. Various principled accounts have been proposed to resolve such interspecies conflicts. However, the existing frameworks are often inadequate to the complexities of real-life scenarios. In particular, they frequently fail because they do not adequately take account of the qualitative importance of individual interests, their relative importance, and the number of individuals affected. This article presents a limited aggregation account designed to overcome these (...) shortcomings and thus to facilitate decision-making in real-world human-wildlife conflicts. (shrink)

Limited Aggregation is the view that when there are competing moral claims that demand our attention, we should sometimes satisfy the largest aggregate of claims, depending on the strength of the claims in question. In recent years, philosophers such as Patrick Tomlin and Alastair Norcross have argued that Limited Aggregation violates a number of rational choice principles such as Transitivity, Separability, and Contraction Consistency. Current versions of Limited Aggregation are what may be called Comparative (...) Approaches because they involve assessing the relative strengths of various claims. In this paper, we offer a non-comparative version of Limited Aggregation, what we call the Threshold Approach. It states that there is a non-relative threshold that separates various claims. We demonstrate that the Threshold Approach does not violate rational choice principles such as Transitivity, Separability, and Contraction Consistency, and we show that potential concerns regarding such a view are surmountable. (shrink)

Human and animal interests are often in conflict. In many situations, however, it is unclear how to evaluate and weigh competing human and animal interests, as the satisfaction of the interests of one group often inevitably occurs at the expense of those of the other group. Human-animal conflicts of this kind give rise to ethical questions. If animals count morally for their own sake, then we must ask in which cases the satisfaction or frustration of the interests of humans and (...) animals in conflict situations is justified or unjustified from an ethical perspective. In this article, we argue that limited aggregation accounts represent a promising means for resolving interspecies conflicts. The reason for this is that they can appropriately consider the qualitative relevance of interests, their relative importance to each other, and the number of individuals affected. For our argument, we start from the premise that animals count morally for their own sake, albeit to a lesser extent than humans. That is, we accept the view that animals may be used, for example, as a source of food or in animal research. However, as we will show, many basic interests of animals are sufficiently similar to human interests and can thus be compared to them. Hence, they ought to be aggregated in cases of conflict with human interests. We illustrate our account and its practical implications with the real-world example of a human-animal conflict during the outbreak of a zoonotic disease among farmed animals. We conclude that, in many cases, animal interests ought to be given more importance than they currently receive, which includes distributing the burdens and risks of farming practices more fairly. (shrink)

This paper presents a new puzzle for limited aggregation. Unlike other recent puzzles, this one arises independently of the issue of rational aversion to risk. Some possible responses are laid out and explored.

Limited aggregation holds that we are only sometimes, not always, permitted to aggregate. Aggregation is permissible only when the harms and benefits are relevant to one another. But how should limited aggregation be extended to cases in which we are uncertain about what will happen? In this article, I provide a challenge to ex post limited aggregation. I reconstruct a precise version of ex post limited aggregation that relies on the notion (...) of ex post claims. However, building a theory of limited aggregation based on ex post claims leads to a dilemma. This shows that ex post limited aggregation is currently far away from being a well-defined alternative, strengthening the case for ex ante limited aggregation. (shrink)

This article revisits a principle of distributive justice accepted by most, if not all, scholars of climate justice. The principle at stake, the limit, protects those who are very badly off from bearing the costs of climate change mitigation. The persistent noncompliance of developed states with their obligations toward burden sharing, however, means that this principle is increasingly in tension with successful climate change mitigation, given it seems to require that those in poverty have continued access to emissions in cases (...) where alternative forms of energy are not provided. In the first half of the paper I outline this tension and show how the dominant expression of the limit in the literature, advanced by Henry Shue, must be abandoned. I argue that any attempt to articulate the limit in current circumstance, where the carbon budget is very scarce, must consider the climate harm associated with continued subsistence emissions. The second half of the article defends a principle, the exemption, which is best able to maintain the strong commitment to shielding those below the minimal threshold from the costs of mitigation, even in light of the potential harm that will result if they require emissions to fuel their energy needs. (shrink)

Human Papillomavirus (HPV) types are sexually transmitted infections that cause a number of human cancers. According to the competitive exclusion principle in ecology, HPV types that have lower transmission probabilities and shorter durations of infection should be outcompeted by more virulent types. This, however, is not the case, as numerous HPV types co-exist, some which are less transmissible and more easily cleared than others. This paper examines whether this exception to the competitive exclusion principle can be explained by the (...) class='Hi'>aggregation of infection with HPV types, which results in patchy spatial distributions of infection, and what implications this has for the effect of vaccination on multiple HPV types. A deterministic transmission model is presented that models the patchy distribution of infected individuals using Lloyd’s mean crowding. It is first shown that higher aggregation can result in a reduced capacity for onward transmission and reduce the required efficacy of vaccination. It is shown that greater patchiness in the distribution of lower prevalence HPV types permits co-existence. This affirms the hypothesis that the aggregation of HPV types provides an explanation for the violation of the competitive exclusion principle. Greater aggregation of lower prevalence types has important implications where type-specific HPV vaccines also offer cross-protection against non-target types. It is demonstrated that the degree of cross-protection can be less than the degree of vaccine protection conferred against directly targeted types and still result in the elimination of non-target types when these non-target types are patchily distributed. (shrink)

Most non-consequentialists “let the numbers count” when one can save either a lesser or greater number from equal or similar harm. But they are wary of doing so when one can save either a small number from grave harm or instead a very large number from minor harm. Limited aggregation is an approach that reconciles these two commitments. It is motivated by a powerful idea: our decision whom to save should respect each person who has a claim to (...) our help, including those whom we fail to save. However, it has recently been argued that it is open to decisive objections. I develop a new limitedly aggregative view:Hybrid Balance Relevant Claims. This view is well grounded in the reasons we have to be skeptical of aggregation and resolves all recent challenges by paying careful attention to the rationale for limited aggregation. (shrink)

Re-Engineering Philosophy for Limited Beings is about new approaches to many of the big topics in philosophy of science today, but with a very different take. To begin with, we are urged to reject the received Cartesian-Laplacean myths: Descartes’ certainty and Laplace’s computational omniscience. Instead, Wimsatt re-engineers a philosophy for human beings with all their cognitive limitations. His approaches find their starting point in the actual practices of scientists themselves, which he strongly identifies with engineering practices as the source (...) of researchers’ solutions for dealing with a complex world. He aims to construct an understanding of scientific methodology around the central role of reduction. But he dismisses eliminative reductionism in favor of a heuristic-based realist view. Wimsatt’s world is a complex one, and this means that science needs to do away with all the absolute and simple answers, because they do not reflect the world we are living in. A complex world requires the mindset and tinkering of an engineer to uncover its reality. The appropriate response must be heuristics all the way down as we constantly seek out reliable inferences on often shifting ground. To this end, we aim for models and theories that are robust, just as engineers aim to build robust machines. And although errors occur and approaches are fallible, they allow us to continually adapt the heuristics applied and sharpen our perceptions so as to develop more refined tools for investigating and understanding the world. (shrink)

Utilitarianism is often criticized because of its reliance on the interpersonal aggregation of harms and benefits. However, since the rejection of all forms of interpersonal aggregation strikes most people as implausible, some critics of utilitarianism have proposed theories of Limited Aggregation. These occupy the middle ground between fully aggregative and non-aggregative views. Recently, Limited Aggregation has been criticized for having counterintuitive implications that seem even worse than the counterintuitive implications of fully aggregative and non-aggregative (...) views it tried to escape. I here propose a new view of Limited Aggregation that does better than existing accounts in this regard. It is more modest than existing accounts of Limited Aggregation, but it retains the view's core idea. This, I claim, is the thought that sometimes very strong individual claims stand in the way of realizing the best outcome. (shrink)

Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of (...) causal-network aggregation. Finally, we revisit the aggregation of probabilistic judgments when this is constrained by prior aggregation of qualitative causal judgments. (shrink)

This article applies the tools of experimental philosophy to the ongoing debate about both the theoretical viability and the practical import of partially aggregative moral theories in distributive ethics. We conduct a series of three experiments (N=383): First, we document the widespread occurrence of the intuitions that motivate this position. Our study then moves beyond establishing the existence of partially aggregative intuitions in two dimensions: First, we extend experimental work in such a way as to ascertain which amongst existing versions (...) of partial aggregation (localised vs. global) chimes more fully with moral common sense. Specifically, we document how, in tie-breaking cases, ‘irrelevant goods’ judgments (Kamm) are just as robust as the original aggregative/non-aggregative pair of judgments that constitute partial aggregation. Second, by pairing laypeople’s moral judgments in standard cases with their intuitions about the limits of permissible self-prioritisation, we investigate whether one prominent explanation of why irrelevant claims may not be aggregated (Voorhoeve’s ‘personal prerogative’ argument) can be said to underpin people’s intuitions about the (ir)relevance relation of claims in conflict cases. We close with a discussion of our findings’ practical and theoretical import and highlight avenues for future research. (shrink)

Richard Levins’ distinction between aggregate, composed and evolved systems acquires new significance as we recognize the importance of mechanistic explanation. Criteria for aggregativity provide limiting cases for absence of organization, so through their failure, can provide rich detectors for organizational properties. I explore the use of failures of aggregativity for the analysis of mechanistic systems in diverse contexts. Aggregativity appears theoretically desireable, but we are easily fooled. It may be exaggerated through approximation, conditions of derivation, and extrapolating from some conditions (...) of decomposition illegtimately to others. Evolved systems particularly may require analyses under alternative complementary decompositions. Exploring these conditions helps us to better understand the strengths and limits of reductionistic methods. (shrink)

Stochastic forecasts in complex environments can benefit from combining the estimates of large groups of forecasters (“judges”). But aggregating multiple opinions faces several challenges. First, human judges are notoriously incoherent when their forecasts involve logically complex events. Second, individual judges may have specialized knowledge, so different judges may produce forecasts for different events. Third, the credibility of individual judges might vary, and one would like to pay greater attention to more trustworthy forecasts. These considerations limit the value of simple (...) class='Hi'>aggregation methods like linear averaging. In this paper, a new algorithm is proposed for combining probabilistic assessments from a large pool of judges. Two measures of a judge’s likely credibility are introduced and used in the algorithm to determine the judge’s weight in aggregation. The algorithm was tested on a data set of nearly half a million probability estimates of events related to the 2008 U.S. presidential election (∼ 16000 judges). (shrink)

Often institutions or individuals are faced with decisions where not all claims can be satisfied. Sometimes, these claims will be of differing strength. In such cases, it must be decided whether or not weaker claims can be aggregated in order to collectively defeat stronger claims. Many are attracted to a view, which this chapter calls Limited Aggregation, where this is sometimes acceptable and sometimes not. A new version of this view, Local Relevance, has recently emerged. This chapter seeks (...) to explore and evaluate this view. In order to do so, the chapter offers a more precise interpretation of this basic approach, calling it ‘Sequential Claims-Matching’. The chapter shows how Sequential Claims-Matching avoids problems that dog other Limited Aggregation views but suffers from difficulties and ambiguities of its own. In particular, the chapter shows that it is hard to accommodate some core Limited Aggregation intuitions around tie-break cases within the Local Relevance view. (shrink)

I present an original model in judgment aggregation theory that demonstrates the general impossibility of consistently describing decision-making purely at the group level. Only a type of unanimity rule can guarantee a group decision is consistent with supporting reasons, and even this possibility is limited to a small class of reasoning methods. The key innovation is that this result holds when individuals can reason in different ways, an allowance not previously considered in the literature. This generalizes judgment (...) class='Hi'>aggregation to subjective decision situations, implying that the discursive dilemma persists without individual agreement on the logical constraints. Notably, the model mirrors the typical method of choosing political representatives, and thus suggests that no voting procedure other than unanimity rule can guarantee representation that reflects electorate opinion. Finally, I apply the results to a normative argument for unanimity rule in contract theory and juries, as well as to problems posed for deliberative democratic theory and the concept of representation. (shrink)

The new …eld of judgment aggregation aims to …nd collective judgments on logically interconnected propositions. Recent impossibility results establish limitations on the possibility to vote independently on the propositions. I show that, fortunately, the impossibility results do not apply to a wide class of realistic agendas once propositions like “if a then b” are adequately modelled, namely as subjunctive implications rather than material implications. For these agendas, consistent and complete collective judgments can be reached through appropriate quota rules (which (...) decide propositions using acceptance thresholds). I characterise the class of these quota rules. I also prove an abstract result that characterises consistent aggregation for arbitrary agendas in a general logic. (shrink)

Facing an increasingly competitive market, enterprises need correct decisions to solve operational problems in a timely manner to maintain their competitive advantages. In this context, insufficient information may lead to an overfitting phenomenon in general mathematical modeling methods, making it difficult to ensure good analytical performance. Therefore, it is important for enterprises to be able to effectively analyze and make predictions using small data sets. Although various approaches have been developed to solve the problem of prediction, their application is often (...) limited by insufficient observations. To further enforce the effectiveness of data uncertainty processing, this study proposed an aggregating prediction model for management decision analysis using small data sets. Compared with six popular approaches, the results from the experiments show that the proposed method can effectively deal with the small data set prediction problem and is thus an appropriate decision analysis tool for managers. (shrink)

Department of Political Studies, Queen's University, 99 University Avenue, Kingston, Ontario, Canada, K7L 3N6. Email: farrelly{at}queensu.ca ' + u + '@' + d + ' '//--> Abstract Should we invest more public funding in basic aging research that could lead to medical interventions that permit us to safely and effectively retard human aging? In this paper I make the case for answering in the affirmative. I examine, and critique, what I call the Fairness Objection to making aging research a greater (...) priority than it currently is. The Fairness Objection presumes that support for aging research is limited to a simplistic utilitarian justification. That is, a mode of justification that is aggregative and permits imposing high costs on a few so that small benefits could be enjoyed by numerous recipients. I develop two arguments to refute the Fairness Objection. The Fairness Objection mischaracterizes the utilitarian argument for retarding human aging. It does so by invoking the fallacious conceptual distinction between "saving lives" and "extending lives", as well as making a number of mistaken assumptions concerning the likely benefits of retarding human aging. Secondly, I argue that the case for tackling aging can be made on contractualist , in addition to utilitarian, grounds. Because the harms of senescence are "morally relevant" to the harms of disease, contractualists can permit aggregation within lives. And thus no one could reasonably reject, I contend, a principle that makes the aspiration to tackle human aging more of a priority than it currently is. CiteULike Connotea Del.icio.us What's this? (shrink)

This paper examines the efforts of contractualists to develop an alternative to aggregation to govern our duty not to harm (duty to rescue) others. I conclude that many of the moral principles articulated in the literature seem to reduce to aggregation by a different name. Those that do not are viable only as long as they are limited to a handful of oddball cases at the margins of social life. If extended to run-of-the-mill conduct that accounts for (...) virtually all unintended (in the sense of undesired) harm to others—noncriminal activities that impose some risk of harm on others—they would rule out all action. Moreover, because such conduct poses an irreducible conflict between freedom of action and freedom from expected harm, it can be regulated only by principles that accept the necessity of making precisely the sorts of interpersonal trade-offs that contractualism is foundationally committed to reject: trade-offs in which the numbers count, such that a risk of serious harm to one person can be justified by small benefits to the many. (shrink)

The new field of judgment aggregation aims to merge many individual sets of judgments on logically interconnected propositions into a single collective set of judgments on these propositions. Judgment aggregation has commonly been studied using classical propositional logic, with a limited expressive power and a problematic representation of conditional statements ("if P then Q") as material conditionals. In this methodological paper, I present a simple unified model of judgment aggregation in general logics. I show how many (...) realistic decision problems can be represented in it. This includes decision problems expressed in languages of classical propositional logic, predicate logic (e.g. preference aggregation problems), modal or conditional logics, and some multi-valued or fuzzy logics. I provide a list of simple tools for working with general logics, and I prove impossibility results that generalise earlier theorems. (shrink)

In the framework of judgment aggregation, we assume that some formulas of the agenda are singled out as premisses, and that both Independence (formula-wise aggregation) and Unanimity Preservation hold for them. Whether premiss-based aggregation thus defined is compatible with conclusion-based aggregation, as defined by Unanimity Preservation on the non-premisses, depends on how the premisses are logically connected, both among themselves and with other formulas. We state necessary and sufficient conditions under which the combination of both approaches (...) leads to dictatorship (resp. oligarchy), either just on the premisses or on the whole agenda. This framework is inspired by the doctrinal paradox of legal theory and arguably relevant to this field as well as political science and political economy. When the set of premisses coincides with the whole agenda, a limiting case of our assumptions, we obtain several existing results in judgment aggregation theory. (shrink)

The possibility of domain restrictions that allow the consistent use of majority-based aggregators for rankings of objects has been widely explored. This paper extends this exploration to structures in which equivalence relations or classifications are aggregated, and shows that there is very limited scope for such restrictions in the binary structure of Mirkin and in the unary structure of Maniquet and Mongin. We develop a hybrid structure that combines binary and unary conditions on the aggregator, and that allows the (...) use of a majority-based aggregator if and only if each object is eligible for inclusion in no more than two categories out of some greater number. We also show that in many circumstances, the surjectivity requirement of Maniquet and Mongin implicitly introduces binary conditions on the aggregator, and that their structure is entailed by the hybrid structure introduced here. (shrink)

When a law court makes a decision based on the individual deliberation of each judge, a case of judgment aggregation occurs. The possibility that the aggregation's outcome be logically inconsistent, even though it is based on consistent individual judgments, arises relatively easily and has been the subject of several investigations. In this paper I show that this paradoxical behaviour is the effect of decision procedures that are unable to discriminate between logically consistent and logically inconsistent individual judgments. The (...) paradoxes can be resolved by selecting procedures that are not affected by this limitation. (shrink)

The use of aggregated quality of life estimatesin the formation of public policy and practiceguidelines raises concerns about the moralrelevance of variability in values inpreferences for health care. This variabilitymay reflect unique and deeply held beliefs thatmay be lost when averaged with the preferencesof other individuals. Feminist moral theorieswhich argue for attention to context andparticularity underline the importance ofascertaining the extent to which differences inpreferences for health states revealinformation which is morally relevant toclinicians and policymakers. To facilitatethese considerations, we present (...) an empiricalstudy of preferences for the timing andoccurrence of health states associated withhormone replacement therapy (HRT). Sixteenwomen between the ages of 45 and 55 wereenrolled in this pilot study. Theirpreferences regarding five health statesassociated with HRT (menopausal symptoms, sideeffects of HRT, breast cancer, myocardialinfarction, and osteoporosis) were assessed inquantitative terms known as utilities. Twostandard methods, the visual analog scale (VAS) and the standard gamble (SG), were used toassess utility and time preference (calculatedas a discount rate). The wide variability ofresponses underlines the importance oftailoring health care to individual women'spreferences. Policy guidelines whichincorporate utility analysis must recognize thenormative limitations of aggregatedpreferences, and the moral relevance ofindividual conceptions of health. (shrink)

What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been studied in full generality. In this paper, (...) we seek to fill this gap. The paper is organized around a baseline impossibility theorem, which we use to map out the space of possible solutions to the belief-binarization problem. Our theorem shows that, except in limiting cases, there exists no belief-binarization rule satisfying four initially plausible desiderata. Surprisingly, this result is a direct corollary of the judgment-aggregation variant of Arrow’s classic impossibility theorem in social choice theory. (shrink)

Recent years have witnessed a revival of scientific, political and philosophical discourse concerning the notion of ecological limits. This article provides a conceptual overview of descriptive ecological limit claims—i.e. claims that there are real, biophysical limits—and reviews work in political and social philosophy in which such claims form the basis of proposals for normative limits. The latter are classified in terms of three broad types of normative theorising: distributive justice, institutional/legal reform, and the good life. Within these three categories, the (...) article reviews normative proposals for limits on both aggregate‐level and individual‐level ecological exploitation. It also considers the relevance of political and ideological facts to the normative analysis of ecological limits, raising methodological questions about how normative theorists should respond to a world facing escalating ecological challenges. (shrink)

Among the many sorts of problems encountered in decision theory, allocation problems occupy a central position. Such problems call for the assignment of a nonnegative real number to each member of a finite set of entities, in such a way that the values so assigned sum to some fixed positive real number s. Familiar cases include the problem of specifying a probability mass function on a countable set of possible states of the world, and the distribution of a certain sum (...) of money, or other resource, among various enterprises. In determining an s-allocation it is common to solicit the opinions of more than one individual, which leads immediately to the question of how to aggregate their typically differing allocations into a single “consensual” allocation. Guided by the traditions of social choice theory decision theorists have taken an axiomatic approach to determining acceptable methods of allocation aggregation. In such approaches so-called “independence” conditions have been ubiquitous. Such conditions dictate that the consensual allocation assigned to each entity should depend only on the allocations assigned by individuals to that entity, taking no account of the allocations that they assign to any other entities. While there are reasons beyond mere simplicity for subjecting allocation aggregation to independence, this radically anti-holistic stricture has frequently proved to severely limit the set of acceptable aggregation methods. As we show in what follows, the limitations are particularly acute in the case of three or more entities which must be assigned nonnegative values summing to some fixed positive number s. For if the set V⊆[0,s] of values that may be assigned to these entities satisfies some simple closure conditions and Vis finite, then independence allows only for dictatorial or imposed aggregation. This theorem builds on and extends a theorem of Bradley and Wagner and, when V={0,1}, yields as a corollary an impossibility theorem of Dietrich on judgment aggregation. (shrink)

Using an institutionalist, supply-side framework, the article describes and assesses the industrial relations reform agenda of the Australian labor movement between 1983 and 1996. Five institutional conditions for diversified quality production are identified, each of which was tackled to some extent in Australia. The article finds the strategy did not yield the benefits promised. Economic performance was average, union density fell steeply, and institutional supports for union membership and bargaining are threatened. Union misjudgments and an unfavorable historical and institutional legacy, (...) in particular the weakness of workplace bargaining structures, explain much of the Australian situation. Furthermore, the union supply-side reform agenda needs to be placed in its proper context. Without complementary policies affecting aggregate demand, innovation and industry policies, and finance reform, supply-side intervention can have only a limited impact. Unions in a neoliberal political economy are not strong enough to force through industrial restructuring alone. (shrink)

Aggregation methods allow one to replace a large scale dynamical system (micro-system) by a reduced dynamical system (macro-system) governing a small number of global variables. This aggregation of variables can be performed when two time scales exist, a fast time scale and a slow time scale. Perturbation theory allows to obtain an approximated aggregated dynamical system which describes the behaviour of a few number of slow time varying variables which are constants of motion of the fast part of (...) the micro-system. Aggregation methods are applied to the case of the devastation of the great barrier reef by the starfishes. We recall the Antonelli/Kazarinoff model which implies a stable limit cycle for the corals and starfish populations. This prey-predator model describes the interactions between two species of corals and the starfish. Then, we generalize the Antonelli/Kazarinoff model to the case of two spatial patches with a fast part describing the starfish migration on the patches and the human manipulation of the communities by divers and, a slow part describing the growth and the interactions between the populations. We obtain an aggregated model governing the total coral densities on the patches and the total starfish population. This model can exhibit stable limit cycle oscillations and a Hopf bifurcation. The critical value of the bifurcation parameter is expressed in terms of the proportions of coral species and starfish on the two patches. This implies for example that rather than random killing of starfish by the Australian military, it may be better to send teams of divers to outbreaking reefs when they first occur who will then manipulate the community structure to increase protection. (shrink)

This paper connects the following three apparently unrelated topics: an epistemic framework fighting logical omniscience, a class of generalized graphs without the arities of relations, and a family of non-normal modal logics rejecting the aggregative axiom. Through neighborhood frames as their meeting point, we show that, among many completeness results obtained in this paper, the limit of a family of weakly aggregative logics is both exactly the modal logic of hypergraphs and also the epistemic logic of local reasoning with veracity (...) and positive introspection. The logics studied are shown to be decidable based on a filtration construction. (shrink)

This paper connects the following four topics: a class of generalized graphs whose relations do not have fixed arities called hypergraphs, a family of non-normal modal logics rejecting the aggregative axiom, an epistemic framework fighting logical omniscience, and the classical group knowledge modality of ‘someone knows’. Through neighborhood frames as their meeting point, we show that, among many completeness results obtained in this paper, the limit of a family of weakly aggregative logics is both exactly the modal logic of hypergraphs (...) and also the epistemic logic of local reasoning with veracity and positive introspection, and upon adding a single combinatorial axiom, it is also the logic of ‘someone knows’ for a fixed finite number of positively introspective agents. At the core of all these completeness results is a new canonical neighborhood model construction for monotone modal logics that is capable of dealing with all these diverse cases. We also provide an axiomatization for the logic of all non-n-colorable hypergraphs based on a filtration argument that also shows the decidability of the logics of hypergraphs we study. (shrink)

The social network has become the primary medium of rumor propagation. Moreover, manual identification of rumors is extremely time-consuming and laborious. It is crucial to identify rumors automatically. Machine learning technology is widely implemented in the identification and detection of misinformation on social networks. However, the traditional machine learning methods profoundly rely on feature engineering and domain knowledge, and the learning ability of temporal features is insufficient. Furthermore, the features used by the deep learning method based on natural language processing (...) are heavily limited. Therefore, it is of great significance and practical value to study the rumor detection method independent of feature engineering and effectively aggregate heterogeneous features to adapt to the complex and variable social network. In this paper, a deep neural network- based feature aggregation modeling method is proposed, which makes full use of the knowledge of propagation pattern feature and text content feature of social network event without feature engineering and domain knowledge. The experimental results show that the feature aggregation model has achieved 94.4% of accuracy as the best performance in recent works. (shrink)

The standard theory of electoral accountability treats the electorate as an appraiser of government performance on a range of complex issues, which re-elects or de-elects depending on its evaluation of that performance. This paper draws from studies on voter knowledge and behaviour to present a dilemma for the standard theory: either voters do not know how well their rulers have performed, or if they do, they do not base their votes on that knowledge. It is shown that, on either horn (...) of the dilemma, the standard account of electoral accountability fails, and that attempts to deflate the dilemma through heuristic and aggregative approaches to voter knowledge, or proposals for alternative systems of government, are also inadequate. The paper then sets out and defends an alternative conception of electoral accountability, which holds that electoral accountability is not about micro-assessing a government’s actions. Rather, it is about preventing political rulers from committing or allowing substantial harms to come upon those they govern. This alternative conception is compatible with a realistic view of voter knowledge and behaviour, but nonetheless makes electoral accountability an essential component of a well-functioning democratic system. (shrink)

The Global Burden of Disease project quantifies the impact of different health conditions by combining information about morbidity and premature mortality within a single metric, the Disability Adjusted Life Year. One important goal for the GBD project has been to inform decisions about global health priorities. A number of recent studies have used GBD data to argue that global health funding fails to align with the GBD. We argue that these studies’ shared assumption that global health resources should ‘align’ with (...) the burden of disease is unfounded and has troubling implications. First, since the allocation of resources involves difficult trade-offs between different, potentially competing goals, any ‘misalignment’ of allocation and disease burdens need not necessarily indicate that the allocation of funds fails to meet recipient countries’ needs or interests. Second, using alignment as a baseline implicitly makes controversial assumptions about how harms of different magnitudes affecting different numbers of individuals should be aggregated. We discuss two alternative ways in which GBD data could help inform decisions about resource allocation, neither of which gives more than a limited role to GBD data. (shrink)

Codes of conduct have become the perhaps most often used tool to manage corporate social responsibility (CSR). Researchers have primarily analysed such documents at company-wide or trans-company levels, whereas there is a dearth of studies into the use of codes for particular corporate functions. Hence, this article will examine one particular group of sub-company level codes, namely codes of conduct that stipulate CSR criteria for suppliers. Examining such ethical sourcing policies adopted by the FTSE100 corporations, the article draws out what (...) environmental, social and economic issues large corporations perceive to be important in the management of their supply chains. At an aggregate level, the coverage of CSR issues is rather extensive, yet at the level of the individual corporation a degree of selectivity in the issues that are addressed becomes noticeable. The code content analysis furthermore confirms the business case and public pressure to be the most important drivers of CSR. Finally, the study highlights the role of isomorphic processes in the adoption of CSR tools. (shrink)

Sometimes we must choose between competing claims to aid or assistance, and sometimes those competing claims differ in strength and quantity. In such cases, we must decide whether the claims on each opposing side can be aggregated. Relevance views argue that a set of claims can be aggregated only if they are sufficiently strong (compared to the claims with which they compete) to be morally relevant to the decision. Relevance views come in two flavours: Local Relevance and Global Relevance. This (...) paper presents a trilemma for both. Namely, that neither view can capture our intuition in tie-break cases, without forfeiting our intuitions in other important cases. The paper then presents a way to salvage relevance views and capture all our intuitions using a Hybrid view. By distinguishing between two types of relevance we can combine the strengths of Local and Global Relevance views such that we can hold all our intuitions, consistently and in a non-ad-hoc manner. Building on this, the paper demonstrates how we might amend the strongest formulation of a Relevance view, into a Hybrid account. The main focus of this paper is to develop a relevance view that can capture all the intuitions we have; however deeper justifications will still be needed for a full account of any relevance view. Thus, the end of the paper briefly considers what deeper justification might support the Hybrid view, indicating the direction such literature might go. Lastly, the paper considers the advantages of this view over a rival Hybrid view. (shrink)