Multi-winner elections, for example, the election of members to a committee, are now quite common, and include the interesting subclass of elections with a variable number of winners, or VNW elections. In VNW elections, voters determine how many winners there are, as well as which candidates win. Common VNW elections include elections to bestow honorary status, such as enshrinement in a hall of fame, and elections to determine a shortlist of, say, job candidates for interviews. Such elections are VNW elections (...) whenever the number of winners is not specified in advance. Multi-winner elections are often conducted by adapting standard procedures for single-winner elections. Approval balloting is particularly appropriate for multi-winner elections, as every ballot, and the set of winners, are subsets of the set of all candidates. Many methods of counting approval ballots appropriate to VNW elections are reviewed and illustrated, and their properties—desirable and undesirable—discussed. (shrink)

Stability definitions for describing human behavior under conflict when coalitions may form are generalized within the Graph Model for Conflict Resolution and algebraic formulations of these definitions are provided to allow computer implementation. The more general definitions of coalitional stabilities relax the assumption of transitive graphs capturing movements under the control of decision makers, either independently or cooperatively, and allow the convenient expansion to the case of coalitions of the four basic individual stabilities consisting of Nash stability, general metarationality, symmetric (...) metarationality, and sequential stability. To permit the various coalitional stabilities to be efficiently calculated and conveniently encoded within a decision support system, algebraic expressions for the coalitional stabilities are provided in this research. Furthermore, a range of the theorems establish the mathematical credibility of employing the innovative algebraic approach to conflict resolution when coalitions are present. Finally, a conflict over the proposed exportation of bulk water from Lake Gisborne within the Canadian Province of Newfoundland and Labrador is modelled and analyzed to illustrate the practical application of the different coalitional stabilities and the strategic insights they provide. (shrink)

Suppose two players wish to divide a finite set of indivisible items, over which each distributes a specified number of points. Assuming the utility of a player’s bundle is the sum of the points it assigns to the items it contains, we analyze what divisions are fair. We show that if there is an envy-free (EF) allocation of the items, two other desirable properties—Pareto-optimality (PO) and Maximinality (MM)—can also be satisfied, rendering these three properties compatible. But there may be no (...) EF division, in which case some division must satisfy a modification of Bentham’s (1789/2017) “greatest satisfaction of the greatest number” property, called maximum Nash welfare (MNW), that satisfies PO. However, an MNF division may be neither MM nor EFX, which is a weaker form of EF. We conjecture that there is always an EFX allocation that satisfies MM, ensuring that an allocation is maximin, precisely the property that Rawls (1971/1999) championed. We discuss four broader philosophical implications of our more technical analysis. (shrink)

Deterrence means threatening to retaliate against an attack in order to deter it in the first place. The central problem with a policy of deterrence is that the threat of retaliation may not be credible if retaliation leads to a worse outcome - perhaps a nuclear holocaust - than a side would suffer from absorbing a limited first strike and not retaliating. - The optimality of deterrence is analyzed by means of a Deterrence Game based on Chicken, in which each (...) player chooses a probability (or level) of preemption, and of retaliation if preempted. The Nash equilibria, or stable outcomes, in this game are compared with those in a Star Wars Game, in which the preemption and retaliation levels are constrained by the defensive capabilities of each side. Unlike threats in the Deterrence Game, which can always stabilize the cooperative outcome, mutual preemption emerges as an equilibrium in the Star Wars Game, underscoring the problem - particularly if defensive capabilities are unbalanced - that deterrence will be subverted by the development of Star Wars. (shrink)

A cornerstone of game theory is backward induction, whereby players reason backward from the end of a game in extensive form to the beginning in order to determine what choices are rational at each stage of play. Truels, or three-person duels, are used to illustrate how the outcome can depend on (1) the evenness/oddness of the number of rounds (the parity problem) and (2) uncertainty about the endpoint of the game (the uncertainty problem). Since there is no known endpoint in (...) the latter case, an extension of the idea of backward induction is used to determine the possible outcomes. The parity problem highlights the lack of robustness of backward induction, but it poses no conflict between foundational principles. On the other hand, two conflicting views of the future underlie the uncertainty problem, depending on whether the number of rounds is bounded (the players invariably shoot from the start) or unbounded (they may all cooperate and never shoot, despite the fact that the truel will end with certainty and therefore be effectively bounded). Some real-life examples, in which destructive behavior sometimes occurred and sometimes did not, are used to illustrate these differences, and some ethical implications of the analysis are discussed. (shrink)

Issues that arise in using game theory to model national security problems are discussed, including positing nation-states as players, assuming that their decision makers act rationally and possess complete information, and modeling certain conflicts as two-person games. A generic two-person game called the Conflict Game, which captures strategic features of such variable-sum games as Chicken and Prisoners'' Dilemma, is then analyzed. Unlike these classical games, however, the Conflict Game is a two-stage game in which each player can threaten to retaliate (...) — and carry out this threat in the second stage — if its opponent chose noncooperation in the first stage.Conditions for the existence of different pure-strategy Nash equilibria, or stable outcomes, are found, and these results are extended to situations in which the players can select mixed strategies (i.e., make probabilistic threats or choices). Although the Conflict Game sheds light on the rational foundations underlying arms races, nuclear deterrence, and other strategic situations, more detailed assumptions are required to tie this generic game to specific conflicts. (shrink)

1. Introduction The policy of deterrence, at least to avert nuclear war between the superpowers, has been a controversial one. The main controversy arises from the threat of each side to visit destruction on the other in response to an initial attack. This threat would seem irrational if carrying it out would lead to a nuclear holocaust – the worst outcome for both sides. Instead, it would seem better for the side attacked to suffer some destruction rather than to retaliate (...) in kind and, in the process of devastating the other side, seal its own doom in an all-out nuclear exchange. Yet, the superpowers persist in their adherence to deterrence, by which we mean a policy of threatening to retaliate to an attack by the other side in order to deter such an attack in the first place. To be sure, nuclear doctrine for implementing deterrence has evolved over the years, with such appellations as “massive retaliation,” “flexible response,” “mutual assured destruction”, and “counterforce” giving some flavor of the changes in United States strategic thinking. All such doctrines, however, entail some kind of response to a Soviet nuclear attack. They are operationalized in terms of preselected targets to be hit, depending on the perceived nature and magnitude of the attack. Thus, whether U.S. strategic policy at any time stresses a retaliatory attack on cities and industrial centers or on weapons systems and armed forces, the certainty of a response of some kind to an attack is not the issue. (shrink)

Contested Pile methods are two-phase procedures for the fair allocation of indivisible items to two players. In the Generation Phase, items over which the players’ preferences differ widely enough are allocated. “Contested” items are placed in the Contested Pile, which is then allocated in the Splitting Phase. Each phase can be carried out using several different techniques; we perform a comprehensive analysis of the resulting design variants using a computational model. The properties of fairness and efficiency, generally achieved in the (...) Generation Phase, must be traded off against robustness to manipulation. We find that the recently developed Undercut procedure for the Splitting Phase outperforms alternative methods in both fairness and efficiency. In general, procedures that keep the Contested Pile relatively small and incorporate the Undercut procedure score well in both fairness and efficiency, but are prone to manipulation. (shrink)

A hybrid preference framework is proposed for strategic conflict analysis to integrate preference strength and preference uncertainty into the paradigm of the graph model for conflict resolution (GMCR) under multiple decision makers. This structure offers decision makers a more flexible mechanism for preference expression, which can include strong or mild preference of one state or scenario over another, as well as equal preference. In addition, preference between two states can be uncertain. The result is a preference framework that is more (...) general than existing models which consider preference strength and preference uncertainty separately. Within the hybrid preference structure, four kinds of stability are defined as solution concepts and a post-stability analysis, called status quo analysis, which can be used to track the evolution of a given conflict. Algorithms are provided for implementing the key inputs of stability analysis and status quo analysis within the extended preference structure. The new stability concepts under the hybrid preference structure can be used to model complex strategic conflicts arising in practical applications, and can provide new insights for the conflicts. The method is illustrated using the conflict over proposed bulk water exports from Lake Gisborne in Newfoundland, Canada. (shrink)

A new approach to policy analysis is formulated within the framework of the graph model for conflict resolution. A policy is defined as a plan of action for a decision maker (DM) that specifies the DM’s intended action starting at every possible state in a graph model of a conflict. Given a profile of policies, a Policy Stable State (PSS) is a state that no DM moves away from (according to its policy), and such that no DM would prefer to (...) change its policy given the policies of the other DMs. The profile of policies associated to a PSS is called a Policy Equilibrium. Properties of PSSs are developed, and a refinement is suggested that restricts DMs to policies that are credible in that they are in the DM’s immediate interest. Relationships with existing stability definitions in the graph model for conflict resolution are then explored. (shrink)

1. Introduction The policy of deterrence, at least to avert nuclear war between the superpowers, has been a controversial one. The main controversy arises from the threat of each side to visit destruction on the other in response to an initial attack. This threat would seem irrational if carrying it out would lead to a nuclear holocaust – the worst outcome for both sides. Instead, it would seem better for the side attacked to suffer some destruction rather than to retaliate (...) in kind and, in the process of devastating the other side, seal its own doom in an all-out nuclear exchange. Yet, the superpowers persist in their adherence to deterrence, by which we mean a policy of threatening to retaliate to an attack by the other side in order to deter such an attack in the first place. To be sure, nuclear doctrine for implementing deterrence has evolved over the years, with such appellations as “massive retaliation,” “flexible response,” “mutual assured destruction”, and “counterforce” giving some flavor of the changes in United States strategic thinking. All such doctrines, however, entail some kind of response to a Soviet nuclear attack. They are operationalized in terms of preselected targets to be hit, depending on the perceived nature and magnitude of the attack. Thus, whether U.S. strategic policy at any time stresses a retaliatory attack on cities and industrial centers or on weapons systems and armed forces, the certainty of a response of some kind to an attack is not the issue. (shrink)

Why do forces compose according to the parallelogram of forces? This question has been controversial; it is one episode in a longstanding, fundamental dispute regarding which facts are not to be explained dynamically. If the parallelogram law is explained statically, then the laws of statics are separate from and “transcend” the laws of dynamics. Alternatively, if the parallelogram law is explained dynamically, then statical laws become mere corollaries to the dynamical laws. I shall attempt to trace the history of this (...) controversy in order to identify what it would be for one or the other of these rival views to be correct. I shall argue that various familiar accounts of natural law not only make it difficult to see what the point of this dispute could have been, but also improperly foreclose some serious scientific options. I will sketch an alternative account of laws that helps us to understand what this dispute was all about. (shrink)

It has often been argued that Humean accounts of natural law cannot account for the role played by laws in scientific explanations. Loewer (Philosophical Studies 2012) has offered a new reply to this argument on behalf of Humean accounts—a reply that distinguishes between grounding (which Loewer portrays as underwriting a kind of metaphysical explanation) and scientific explanation. I will argue that Loewer’s reply fails because it cannot accommodate the relation between metaphysical and scientific explanation. This relation also resolves a puzzle (...) about scientific explanation that Hempel and Oppenheim (Philosophy of Science 15:135–75, 1948) encountered. (shrink)

Conflicts of interest are rampant in the American medical community. Today it is not uncommon for doctors to refer patients to clinics or labs in which they have a financial interest (40% of physicians in Florida invest in medical centers); for hospitals to offer incentives to physicians who refer patients (a practice that can lead to unnecessary hospitalization); or for drug companies to provide lucrative give-aways to entice doctors to use their "brand name" drugs (which are much more expensive than (...) generic drugs). In Medicine, Money and Morals, Marc A. Rodwin draws on his own experience as a health lawyer--and his research in health ethics, law, and policy--to reveal how financial conflicts of interest can and do negatively affect the quality of patient care. He shows that the problem has become worse over the last century and provides many actual examples of how doctors' decisions are influenced by financial considerations. We learn how two California physicians, for example, resumed referrals to Pasadena General Hospital only after the hospital started paying $70 per patient (their referrals grew from 14 in one month to 82 in the next). As Rodwin writes, incentives such as this can inhibit a doctor from taking action when a hospital fails to provide proper service, and may also lead to the unnecessary hospitalization of patients. We also learn of a Wyeth-Ayerst Labs promotion in which physicians who started patients on INDERAL (a drug for high blood pressure, angina, and migraines) received 1000 mileage points on American Airlines for each patient (studies show that promotions such as this have a direct effect on a doctor's choice of drug). Rodwin reveals why the medical community has failed to regulate conflicts of interest: peer review has little authority, state licensing boards are usually ignorant of abuses, and the AMA code of ethics has historically been recommended rather than required. He examines what can be learned from the way society has coped with the conflicts of interest of other professionals --lawyers, government officials, and businessmen--all of which are held to higher standards of accountability than doctors. And he recommends that efforts be made to prohibit and regulate certain kinds of activity (such as kickbacks and self-referrals), to monitor and regulate conduct, and to provide penalties for improper conduct. Our failure to face physicians' conflicts of interest has distorted the way medicine is practiced, compromised the loyalty of doctors to patients, and harmed society, the integrity of the medical profession, and patients. For those concerned with the quality of health care or medical ethics, Medicine, Money and Morals is a provocative look into the current health care crisis and a powerful prescription for change. (shrink)

Structural requirements of rationality prohibit various things, like having inconsistent combinations of attitudes, having means-end incoherent combinations of attitudes, and so on. But what is the distinctive feature of structural requirements of rationality? And do we fall under an obligation to be structurally rational? These issues have been at the heart of significant debates over the past fifteen years. Some philosophers have recently argued that we can unify the structural requirements of rationality by analyzing what is constitutive of our attitudes (...) (Lee, 2020; Worsnip, 2018a). It has also been suggested that, in the course of good first-personal deliberation, agents should treat structurally irrational combinations of attitudes as off-limits (Worsnip, 2021). In this paper, I raise a worry for these two theses concerning structural rationality. Roughly, I argue that some imperfect epistemic agents (like us) can be disposed to have structurally irrational combinations of attitudes. Also, when these imperfect agents deliberate, they should not treat structurally irrational combinations of attitudes as off-limits. Given our imperfections, being structurally irrational can very well be the best option we have. More generally, these observations reveal that structural rationality should not always be theorized independently from more “substantive” norms, like responsiveness to reasons or expected value optimization. (shrink)

The article « La Défenestration » by Belgian philosopher Marc Richir has been translated into Russian for the first time for this issue of the “Horizon. Studies in Phenomenology.” In his early work “The Defenestration” Richir raises the question of relation between the subject and conceivable world. Here, a philosopher is pictured contemplating the world through the window of his tower. In such detachment from the world the thinker finds himself according to all Modern philosophies of consciousness. Husserl’s phenomenology (...) inherits this detachment, since Husserl imposes the structure of transcendental ego as external to the world. Richir abolishes the concept of transcendental ego with the help of heideggerian Dasein, but analyzing Heidegger’s ontology he comes to the conclusion that the latter remains fixated on beings. Believing a person to live in the fundamental openness of Being, Heidegger places such a person in the secondary world of “truth.” In order to overcome the remains of traditional philosophy in Heidegger’s ontology Richir turns to Merleau-Ponty’ “cosmology of the visible.” The author takes the Merleau-Ponty’s thesis that everything visible has something fundamentally invisible in it. This allows him to discover the universe of “nothing”, which includes both the visible and what is “behind” it. As a result Richir overcomes the classical dualism of the sensual and the intelligible. The concept of defenestration places the subject and the world in the same universe. (shrink)

This paper argues that there is a conflict between two theses held by John McDowell, namely i) the claim that we are under a standing obligation to revise our beliefs if reflection demands it; and ii) the view that veridical experience is a mode of direct access to the world. Since puts no bounds on what would constitute reasonable doubt, it invites skeptical concerns which overthrow. Conversely, since says that there are some experiences which we are entitled to trust, it (...) undermines the prescriptive scope of. Drawing on C. S. Peirce's distinction between genuine and contrived doubt, I maintain that critical revisions of beliefs should be triggered only by unwanted disruptions of habits, thereby restoring unity between McDowell's two theses. (shrink)

What altered states of consciousness—the dissolution of feelings of time and self—can tell us about the mystery of consciousness. During extraordinary moments of consciousness—shock, meditative states and sudden mystical revelations, out-of-body experiences, or drug intoxication—our senses of time and self are altered; we may even feel time and self dissolving. These experiences have long been ignored by mainstream science, or considered crazy fantasies. Recent research, however, has located the neural underpinnings of these altered states of mind. In this book, neuropsychologist (...) Marc Wittmann shows how experiences that disturb or widen our everyday understanding of the self can help solve the mystery of consciousness. Wittmann explains that the relationship between consciousness of time and consciousness of self is close; in extreme circumstances, the experiences of space and self intensify and weaken together. He considers the emergence of the self in waking life and dreams; how our sense of time is distorted by extreme situations ranging from terror to mystical enlightenment; the experience of the moment; and the loss of time and self in such disorders as depression, schizophrenia, and epilepsy. Dostoyevsky reported godly bliss during epileptic seizures; neurologists are now investigating the phenomenon of the epileptic aura. Wittmann describes new studies of psychedelics that show how the brain builds consciousness of self and time, and discusses pilot programs that use hallucinogens to treat severe depression, anxiety, and addiction. If we want to understand our consciousness, our subjectivity, Wittmann argues, we must not be afraid to break new ground. Studying altered states of consciousness leads us directly to the heart of the matter: time and self, the foundations of consciousness. (shrink)

Some mathematical proofs explain why the theorems they prove hold. This paper identifies several challenges for any counterfactual account of explanation in mathematics (that is, any account according to which an explanatory proof reveals how the explanandum would have been different, had facts in the explanans been different). The paper presumes that countermathematicals can be nontrivial. It argues that nevertheless, a counterfactual account portrays explanatory power as too easy to achieve, does not capture explanatory asymmetry, and fails to specify why (...) certain proofs are explanatory and others are not. Greater informativeness about counterfactual dependence can even yield less explanatory power. (shrink)

A number of authors argue that while species are evolutionary units, individuals and real entities, higher taxa are not. I argue that drawing the divide between species and higher taxa along such lines has not been successful. Common conceptions of evolutionary units either include or exclude both types of taxa. Most species, like all higher taxa, are not individuals, but historical entities. Furthermore, higher taxa are neither more nor less real than species. None of this implies that there is no (...) distinction between species and higher taxa; the point is that such a distinction is more subtle than many authors have claimed. (shrink)

Norms have been widely enacted in human and agent societies to regulate individuals’ actions. However, although legislators may have ethics in mind when establishing norms, moral values are only sometimes explicitly considered. This paper advances the state of the art by providing a method for selecting the norms to enact within a society that best aligns with the moral values of such a society. Our approach to aligning norms and values is grounded in the ethics literature. Specifically, from the literature’s (...) study of the relations between norms, actions, and values, we formally define how actions and values relate through the so-called value judgment function and how norms and values relate through the so-called norm promotion function. We show that both functions provide the means to compute value alignment for a set of norms. Moreover, we detail how to cast our decision-making problem as an optimisation problem: finding the norms that maximise value alignment. We also show how to solve our problem using off-the-shelf optimisation tools. Finally, we illustrate our approach with a specific case study on the European Value Study. (shrink)

Freedom and compassion in the anthropocene -- Can science save animals? -- Who we eat -- Fat rats and lab cats -- Charismatic, caged, and occasionally crazy: zooed animals -- Captive and companion -- Born to be wild? -- Coexistence in the anthropocene and beyond: compassion and justice for all.

This chapter contains section titled: Introduction The Ontological Nature of Species Taxonomic Pluralism Two Major Schools of Biological Taxonomy The Linnaean Hierarchy References Further Reading.

This chapter contains section titled: Is Biology Like Physics? Laws of Nature: The Standard Picture Why Not Laws of Biology? The Problem of Exceptions Why Not Laws of Biology? The Problem of Accidentalness A Worked Example: The “Area Law” Evolutionary Accidents as Laws of Functional Biology References Further Reading.

Marc Hauser puts forth the theory that humans have evolved a universal moral instinct, unconsciously propelling us to deliver judgments of right and wrong independent of gender, education, and religion. Combining his cutting-edge research with the latest findings in cognitive psychology, linguistics, neuroscience, evolutionary biology, economics, and anthropology, Hauser explores the startling implications of his provocative theory vis-à-vis contemporary bioethics, religion, the law, and our everyday lives.

The expression “République des lettress” is still used today. It appears in most recent dictionaries of the French language, and it even occasionally occurs in ordinary conversation or in the press, a pompous and ironic circumlocution to designate the Parisian literary “milieu.” This archaistic and pejorative survival masks (somewhat similarly to the word “rhetoric”) the attention that researchers are now according to the older meaning of this surviving expression, and to the concept of an international exchange of ideas that it (...) represented for scholars of the Ancien Régime. As proof that this scientific interest is recent, Paul Hazard, in the famous Crise de la conscience européenne (1936), devotes not a single line to the “Republic of Letters,” while in the chapter dealing with Pierre Bayle he cites the “Nouvelles de la République des Lettres” (1684), the learned periodical published in Amsterdam by this erudite Calvinist, apparently without feeling a need to explain a title that seemed self-evident. For the history of ideas, this notion was not a subject for history. It resided outside the field of perception of a discipline that was completely devoted to a sort of chemistry of pure ideas, removed from the literary form that carried them, and a fortiori from institutional circuits, and forms of sociability and dialogue that “invent” and spread them, and even more so from the awareness that “scholars” might have had of the solidarity that united them and of the meaning they might be able to attribute to it. (shrink)

Models of cognitive vulnerability claim that depressive symptoms arise as a result of an interaction between negative affect and cognitive reactions, in the form of dysfunctional attitudes and negative inferential style. We present a model that complements this approach by focusing on the appraisal processes that elicit and differentiate everyday episodes of emotional experience, arguing that individual differences in appraisal patterns can foster negative emotional experiences related to depression. In particular, dispositional appraisal biases facilitating the elicitation of these emotions more (...) frequently and more intensely. This, in turn, is likely to have a negative influence on cognitive processing and emotion regulation in general. (shrink)