In The Ethics of Authorship, Daniel Berthold depicts G. W. F. Hegel and Søren Kierkegaard as endorsing two postmodern principles. The first is an ethical ideal. Authors should abdicate their traditional privileged position as arbiters of their texts’ meaning. They should allow readers to determine this meaning for themselves. Only by doing so will they help readers attain genuine selfhood. The second principle is a claim about language. To wit, language cannot express an author’s thoughts. I argue that if the (...) claim about language holds, the ethical ideal becomes superfluous. In addition, if Berthold has identified Hegel and Kierkegaard’s views regarding the issues in question by reading their works, then either they failed to execute their ethical project or their views about language are false. (shrink)

This paper defends an account of forgiveness that is sensitive to recent work on anger. Like others, we claim anger involves an appraisal, namely that someone has done something wrong. But, we add, anger has two further functions. First, anger communicates to the wrongdoer that her act has been appraised as wrong and demands she feel guilty. This function enables us to explain why apologies make it reasonable to forgo anger and forgive. Second, anger sanctions the wrongdoer for what she (...) has done. This function allows us to explore the moral status of forgiveness, including why forgiveness is typically elective. (shrink)

Encounters with art can change us in ways both big and small. This paper focuses on one of the more dramatic cases. I argue that works of art can inspire what L. A. Paul calls transformations, classic examples of which include getting married, having a child, and undergoing a religious conversion. Two features distinguish transformations from other changes we undergo. First, they involve the discovery of something new. Second, they result in a change in our core preferences. These two features (...) make transformations hard to motivate. I argue, however, that art can help on both fronts. First, works of art can guide our attempt to imagine unfamiliar ways of living. Second, they can attract us to values we currently reject. I conclude by observing that what makes art powerful also makes it dangerous. Transformations are not always for the good, and art's ability to inspire them can be put to immoral ends. (shrink)

Following the pattern set by the early German Romantics, Kierkegaard conveys many of his insights through literature rather than academic prose. What makes him a valuable member of this tradition is the theory he develops to support it, his so-called “theory of indirect communication.” The most exciting aspect of this theory concerns the alleged importance of indirect communication: Kierkegaard claims that there are some projects only it can accomplish. This paper provides a critical account of two arguments Kierkegaard offers in (...) defense of this claim. The first argument is that he needs to use indirect communication in order to discourage people from losing themselves in the “crowd”. The second argument is that he needs to use it in order to help people out of a “monstrous illusion”. It is shown that while both arguments justify Kierkegaard’s decision to use indirect communication, neither one supports the original claim about its indispensability. (shrink)

ABSTRACT One striking feature of On the Genealogy of Morals is how it is written. Nietzsche employs a literary style that provokes his readers' emotions. In Beyond Selflessness, Christopher Janaway argues that such a literary approach is integral to Nietzsche's philosophical goals. Feeling the emotions Nietzsche's style arouses is necessary for understanding the views he defends. I argue that Janaway's position is mistaken. The evidence at our disposal fails to establish that emotion is ever necessary for cognition. However, I maintain (...) that we do have good evidence for a slightly weaker claim. The emotionally sensitive person is epistemically better off than the cold and dispassionate person. There are some truths he or she will be more likely to believe and will have better reasons for believing. I conclude that Janaway is right to defend the philosophical importance of Nietzsche's literary writing style. His error is simply that he overstates the case. (shrink)

This dissertation concerns Kierkegaard’s theory of indirect communication. A central aspect of this theory is what I call the “indispensability thesis”: there are some projects only indirect communication can accomplish. The purpose of the dissertation is to disclose and assess the rationale behind the indispensability thesis. -/- A pair of questions guides the project. First, to what does ‘indirect communication’ refer? Two acceptable responses exist: (1) Kierkegaard’s version of Socrates’ midwifery method and (2) Kierkegaard’s use of artful literary devices. Second, (...) for what end does Kierkegaard use indirect communication? There are two acceptable responses here as well: (1) helping others become religious and (2) making others aware of the nature of existence. -/- These responses are interrelated. First, Kierkegaard’s notion of religion places restrictions on the means he can use to get readers to become religious. These restrictions ultimately entail that the only viable form of religious pedagogy is the midwifery method. Second, Kierkegaard engages in the midwifery method in part by making readers aware of the nature of existence (especially religious existence). But given the problems plaguing his readers, he thinks a straightforward approach to this project will likely fail. An approach that used artful literary devices such as deception and humor would be more successful. Third, Kierkegaard believes that there is one aspect of religious existence (viz. subjectivity) that people can come to know only first-hand. As such, he cannot directly impart knowledge of subjectivity to his readers. He argues that this means he must use the midwifery method. And he thinks the most productive way to do so is to provide readers with the kind of fictional narratives found in his early pseudonymous writings. Thus artful rhetorical devices play a role here as well. -/- All of Kierkegaard’s arguments for the indispensability thesis turn on debatable assumptions. But the arguments concerning artful rhetorical devices have the additional defect of being merely probabilistic in nature. They lack the strength to support the indispensability thesis even if we grant the relevant background assumptions. Therefore, to the degree that the indispensability thesis has merit, it lies with the arguments concerning the midwifery method. (shrink)

Works of art can be difficult in several ways. One important way is by making us face up to unsettling truths. Such works typically receive praise. I maintain, however, that sometimes they deserve moral censure. The crux of my argument is that, just as we have a right to know the truth in certain contexts, so too we have a right not to know it. Provided our ignorance does not harm or seriously endanger others, the decision about whether to know (...) the truth ought to be left to us. Within this limit, therefore, difficult art is morally problematic if it intentionally targets those who have chosen not to know. To illustrate the problem, I discuss the literary writings of Søren Kierkegaard, which aim to deceive readers into seeing unpleasant truths about themselves that they seek to ignore. (shrink)

Like many 19th c. thinkers, Kierkegaard embraces a cognitivist view of art. He thinks works of art matter because they can teach us in important ways. This chapter defends two striking features of Kierkegaard’s version of this theory. First, works of art do not teach “directly” by telling us truths and offering us evidence. Instead, they educate us “indirect-ly” by helping us make our own discoveries. Second, the fact that art does not teach in a straightforward manner is no defect. (...) On the contrary, it is precisely because art teaches indirectly that it teaches better than philosophy and science do. (shrink)

In Religion of Existence, Noreen Khawaja suggests that Kierkegaard is an “ascetic” thinker. By this, she means that he regards religious striving as (1) requiring ceaseless renewal and (2) being an end in itself rather than a means to some further end. In this paper, I raise challenges to both parts of Khawaja’s proposal. I argue that the first part stands in tension with Kierkegaard’s assertion that his infinitely demanding account of religious existence is meant merely as a “corrective.” The (...) second part, I maintain, does not fit well with his claim that our eternal salvation is at stake in religious striving. (shrink)

In this paper, I argue that art can help us imagine what it would be like to have experiences we have never had before. I begin by surveying a few of the things we are after when we ask what an experience is like. I maintain that it is easy for art to provide some of them. For example, it can relay facts about what the experience involves or what responses the experience might engender. The tricky case is the phenomenal (...) quality of the experience or what it feels like from the inside. Thus, in the main part of the paper, I discuss how art can provide us with this as well. I conclude by situating my view in the context of the broader debate over transformative experiences. I maintain that art can solve some but not all of the problems that arise when deciding whether to undergo a transformation. (shrink)

Recent attention to the relationship between aesthetic value and cognitive value has focused on whether the latter can affect the former. In this article, I approach the issue from the opposite direction. I investigate whether the aesthetic value of a work can influence its cognitive value. More narrowly, I consider whether a work's aesthetic value ever contributes to or detracts from its philosophical value, which I take to include the truth of its claims, the strength of its arguments, and its (...) internal consistency. I argue that aesthetic value does have such an impact, at least sometimes and to some degree. The aesthetic merits of some works help to preserve their consistency, and the aesthetic defects of other works render them self-contradictory. (shrink)

On one standard view, paraphrasing Kierkegaard requires no special literary talent. It demands no particular flair for the poetic. However, Kierkegaard himself rejects this view. He says we cannot paraphrase in a straightforward fashion some of the ideas he expresses in a literary format. To use the words of Johannes Climacus, these ideas defy direct communication. In this paper, I piece together and defend the justification Kierkegaard offers for this position. I trace its origins to concerns raised by Lessing and (...) Mendelssohn about the relationship between form and content in works of art. I maintain that Kierkegaard follows early German Romantic thinkers in applying these aesthetic concerns to philosophical writing. By way of conclusion, I discuss the implications of Kierkegaard’s position for contemporary scholarship. (shrink)

Kierkegaard faces an apparent dilemma. On the one hand, he concurs with the biblical injunction: we are to love our neighbors as ourselves. He takes this to imply that self-love and neighbor-love should be roughly symmetrical, similar in kind as well as degree. On the other hand, he recommends relating to others and to ourselves in disparate ways. We should be lenient, charitable, and forgiving when interacting with neighbors; the opposite when dealing with ourselves. The goal of my paper is (...) to solve this puzzle. I first consider addressing it by appealing to Gene Outka’s idea that equal love does not entail identical treatment. After rejecting this solution, I offer my own: Asymmetry between the two loves is not a moral ideal for Kierkegaard but a rehabilitative strategy. He recommends being more latitudinarian with others than with ourselves to correct against a common tendency toward the opposite extreme. (shrink)

This paper illuminates the central arguments in Sartre's UNESCO address, 'The Singular Universal." The address begins by asking whether objective facts tell us everything there is to know about Kierkegaard. Sartre's answer is negative. The question then arises as to whether we can lay hold of Kierkegaard's "irreducible subjectivity" by seeing him as alive for us today, i.e., as transhistorical. Sartre's answer here is affirmative. However, a close inspection of this answer exposes a deeper level to the address. The struggle (...) to find a place for Kierkegaard within the world of objective knowledge is an allegory. It mirrors Sartre's struggle to find a place for his existentialism within the Marxism that dominates his later thinking. (shrink)

This paper provides an account of Kierkegaard’s central criticism of the Danish Hegelians. Contrary to recent scholarship, it is argued that this criticism has a substantive theoretical basis and is not merely personal or ad hominem in nature. In particular, Kierkegaard is seen as criticizing the Hegelians for endorsing an unacceptable form of intellectual elitism, one that gives them pride of place in the realm of religion by dint of their philosophical knowledge. A problem arises, however, because this criticism threatens (...) to apply to Kierkegaard himself. It is shown that Kierkegaard manages to escape this problem by virtue of the humorous aspect of his work. (shrink)

Drawing on insights from Søren Kierkegaard, Art and Selfhood: A Kierkegaardian Account defends the idea that art matters in our society today because it can play a pivotal role in helping us become better and more authentic versions of ourselves.

Recent scholarship has shown that the success of Pascal’s wager rests on precarious grounds. To avoid notorious problems, it must appeal to considerations such as what probability we assign to the existence of various gods and what religion we think provides the greatest happiness in this life. Rational judgments concerning these matters are subject to change over time. Some claim that the wager therefore cannot support a steadfast commitment to God. I argue that this conclusion does not follow. By drawing (...) upon the line of reasoning employed in getting married, I explain how unstable considerations can provide a sufficient rational foundation for a stable commitment. (shrink)

ZusammenfassungZur Verringerung der Knappheit an Organen wird die Einführung eines Marktes für menschliche Organe vorgeschlagen. Personen, die ihre Organe verkaufen, und Personen, die ihre Organe lebend spenden, sind medizinisch den gleichen Gefahren ausgesetzt. Der Verkaufserlös bietet für den Abgebenden eine Einkommenssteigerung, die vielfältig genutzt werden kann. Die auf Schwarzmärkten beobachteten negativen Effekte sollen durch eine strikte Überwachung und Regulierung verhindert werden. Der Markt für Organe kann von zwei getrennten Ankaufsorganisationen geprägt werden. Eine Organisation zahlt die Weiterverkaufserlöse der Organe direkt an (...) die Geber aus, eine andere Organisation investiert sie stattdessen in wohltätige Zwecke und gibt so den Gebern die Möglichkeit, ihr Organ aus rein altruistischen Motiven zu spenden. Die Finanzierung des Systems soll durch das öffentliche Gesundheitssystem bzw. die privaten Krankenversicherungen erfolgen. (shrink)

ABSTRACT Kierkegaard seeks to inspire transformations. His aim is to get us to devote our lives to God or the Good rather than our own personal enjoyment – to abandon the aesthetic life in favour of the ethical or religious one. Drawing on Laurie Paul and Agnes Callard’s recent work, I maintain that two obstacles stand in Kierkegaard’s way. First, transformations involve adopting a new perspective on the world, one we cannot fully grasp ahead of time. Second, transformations also involve (...) coming to care about something we do not yet care about. On my interpretation, Kierkegaard sees art, especially literature, as central to overcoming both obstacles. Good stories afford us a glimpse into what it would look and feel like to live in ways other than we currently do. In addition, they have the power to attract us to points of view we would ordinarily reject. (shrink)

Zur Verringerung der Knappheit an Organen wird die Einführung eines Marktes für menschliche Organe vorgeschlagen. Personen, die ihre Organe verkaufen, und Personen, die ihre Organe lebend spenden, sind medizinisch den gleichen Gefahren ausgesetzt. Der Verkaufserlös bietet für den Abgebenden eine Einkommenssteigerung, die vielfältig genutzt werden kann. Die auf Schwarzmärkten beobachteten negativen Effekte sollen durch eine strikte Überwachung und Regulierung verhindert werden. Der Markt für Organe kann von zwei getrennten Ankaufsorganisationen geprägt werden. Eine Organisation zahlt die Weiterverkaufserlöse der Organe direkt an (...) die Geber aus, eine andere Organisation investiert sie stattdessen in wohltätige Zwecke und gibt so den Gebern die Möglichkeit, ihr Organ aus rein altruistischen Motiven zu spenden. Die Finanzierung des Systems soll durch das öffentliche Gesundheitssystem bzw. die privaten Krankenversicherungen erfolgen. (shrink)

This paper describes the first three-year experience of the Consortium Ethics Program (CEP-1) of the University of Pittsburgh Center for Medical Ethics, and also outlines plans for the second three-year phase (CEP-2) of this experiment in continuing ethics education. In existence since 1990, the CEP has the primary goal of creating a cost-effective, permanent ethics resource network, by utilizing the educational resources of a university bioethics center and the practical expertise of a regional hospital council. The CEP's conception and specific (...) components stem from recognition of the need to make each hospital a major focus of educational efforts, and to provide academic support for the in-house activities of the representatives from each institution. (shrink)

Søren Kierkegaard (1813-1855) has often been cast as an irrationalist -- an enemy of reason, logic, and perhaps even truth. It is easy to see why. Some of his works encourage us to "crucify" our understanding or to take a leap of faith beyond the evidence.[1] We also encounter texts suggesting that passionate beliefs are more important than true ones.[2] Perhaps his most frequently read book, Fear and Trembling, lauds Abraham for following God's commands "by virtue of the absurd."[3] Finally, (...) a number of passages encourage us to accept "the absolute paradox" or "the contradiction" of the God-man, Jesus Christ.[4] Richard McCombs joins a growing chorus of scholars who reject this view. Indeed, there is something approaching a consensus among specialists that Kierkegaard is not as irrational as he appears. What sets McCombs apart is that he also defends a more ambitious thesis. In addition to downplaying the irrationality of Kierkegaard, he maintains that Kierkegaard is actually a "robustly rational thinker" (7). (shrink)

We represent consensus formation processes based on iterated opinion pooling as a dynamic approach to common knowledge of posteriors :1236–1239, 1976; Geanakoplos and Polemarchakis in J Econ Theory 28:192–200, 1982). We thus provide a concrete and plausible Bayesian rationalization of consensus through iterated pooling. The link clarifies the conditions under which iterated pooling can be rationalized from a Bayesian perspective, and offers an understanding of iterated pooling in terms of higher-order beliefs.

The Savage and the Anscombe–Aumann frameworks are the two most popular approaches used when modeling ambiguity. The former is more flexible, but the latter is often preferred for its simplicity. We conduct an experiment where subjects place bets on the joint outcome of an ambiguous urn and a fair coin. We document that more than a third of our subjects make choices that are incompatible with Anscombe–Aumann for any preferences, while the Savage framework is flexible enough to account (...) for subjects’ behaviors. (shrink)

We provide a new behavioral foundation for subjective expected utility within the Anscombe–Aumann framework. In contrast to the original axiomatization of SEU, our behavioral foundation establishes that to be consistent with SEU maximization, we need not explicitly assume that preferences satisfy the independence axiom over the domain of all acts. Rather, the substantive implications of independence for an SEU representation may equivalently be derived from less demanding conditions over certain smaller classes of acts. These acts, which we refer to (...) as uncertainty-free comparable acts, have the property that they are relatively simple for a decision maker to compare because she can rank acts within any such class based on her risk preferences alone, without having to consider the underlying uncertainty. Acts of this kind comprise constant acts and acts that are almost identical in the sense that they differ from one another in at most one state. (shrink)

The scope of Aumann’s (1976) Agreement Theorem is needlessly limited by its restriction to Conditioning as the update rule. Here we prove the theorem in a more comprehensive framework, in which the evolution of probabilities is represented directly, without deriving new probabilities from new certainties. The framework allows arbitrary update rules subject only to Goldstein’s (1983) requirement that current expectations agree with current expectations of future expectations.

This note identifies and comments on selected crucial traits of Robert Aumann’s philosophy of game theory. In doing so, it aims at carving out and expressing some notions tacitly held by many working game theorists and ideally even at triggering subsequent reflection on the philosophy of game theory in general. According to my reconstruction of Aumann’s position, sophisticated, relatively precise rules of language—an ultra-refined grammar for interactions—constitute the heart of game theory. Consequently, the heart of game theory is (...) devoid, or almost devoid, of empirical content. The final section proposes a nomenclature for lucidly discussing the relationships between theories, different types of models, and “the real world” and employs it to explicate and slightly amend Aumann’s remarks on the role of truth and fruitfulness in game theory. (shrink)

The U.S. Court of Appeals for the District of Columbia upheld, in Presbyterian Medical Center of the University of Pennsylvania Health System v. Shalala, 170 F.3d 1146, a federal district court ruling granting summary judgment to the Department of Health and Human Services in a case in which Presbyterian Medical Center challenged Medicare's requirement of contemporaneous documentation of $828,000 in graduate medical education expenses prior to increasing reimbursement amounts. DHHS Secretary Donna Shalala denied PMC's request for reimbursement for increased GME (...) costs. The appellants then brought suit in federal court challenging the legality of an interpretative rule that requires requested increases in reimbursement to be supported by contemporaneous documentation. PMC also alleged that an error was made in the administrative proceedings to prejudice its claims because Aetna, the hospital's fiscal intermediary, failed to provide the hospital with a written report explaining why it was denied the GME reimbursement. (shrink)

In “Agreeing to Disagree” [1], Robert Aumann proves that a group of agents who once agreed about the probability of some proposition for which their current probabilities are common knowledge must still agree, even if those probabilities reflect disparate observations. Perhaps one saw that a card was red and another saw that it was a heart, so that as far as that goes, their common prior probability of 1/52 for its being the Queen of hearts would change in the (...) one case to 1/26, and in the other to 1/13. But if those are indeed their current probabilities, it cannot be the case that both know them, and both know that both know them, etc., etc. (shrink)

This paper studies Aumann’s agreeing to disagree theorem from the perspective of dynamic epistemic logic. This was first done by Dégremont and Roy (J Phil Log 41:735–764, 2012) in the qualitative framework of plausibility models. The current paper uses a probabilistic framework, and thus stays closer to Aumann’s original formulation. The paper first introduces enriched probabilistic Kripke frames and models, and various ways of updating them. This framework is then used to prove several agreement theorems, which are natural (...) formalizations of Aumann’s original result. Furthermore, a sound and complete axiomatization of a dynamic agreement logic is provided, in which one of these agreement theorems can be derived syntactically. These technical results are used to show the importance of explicitly representing the dynamics behind the agreement theorem, and lead to a clarification of some conceptual issues surrounding the agreement theorem, in particular concerning the role of common knowledge. The formalization of the agreement theorem thus constitutes a concrete example of the so-called dynamic turn in logic. (shrink)

Robert Aumann presents his Agreement Theorem as the key conditional: “if two people have the same priors and their posteriors for an event A are common knowledge, then these posteriors are equal” (Aumann, 1976, p. 1236). This paper focuses on four assumptions which are used in Aumann’s proof but are not explicit in the key conditional: (1) that agents commonly know, of some prior μ, that it is the common prior; (2) that agents commonly know that each (...) of them updates on the prior by conditionalization; (3) that agents commonly know that if an agent knows a proposition, she knows that she knows that proposition (the “K K” principle); (4) that agents commonly know that they each update only on true propositions. It is shown that natural weakenings of any one of these strong assumptions can lead to countermodels to Aumann’s key conditional. Examples are given in which agents who have a common prior and commonly know what probability they each assign to a proposition nevertheless assign that proposition unequal probabilities. To alter Aumann’s famous slogan: people can “agree to disagree”, even if they share a common prior. The epistemological significance of these examples is presented in terms of their role in a defense of the Uniqueness Thesis: If an agent whose total evidence is E is fully rational in taking doxastic attitude D to P, then necessarily, any subject with total evidence E who takes a different attitude to P is less than fully rational. (shrink)

The paper surveys the currently available axiomatizations of common belief (CB) and common knowledge (CK) by means of modal propositional logics. (Throughout, knowledge- whether individual or common- is defined as true belief.) Section 1 introduces the formal method of axiomatization followed by epistemic logicians, especially the syntax-semantics distinction, and the notion of a soundness and completeness theorem. Section 2 explains the syntactical concepts, while briefly discussing their motivations. Two standard semantic constructions, Kripke structures and neighbourhood structures, are introduced in Sections (...) 3 and 4, respectively. It is recalled that Aumann's partitional model of CK is a particular case of a definition in terms of Kripke structures. The paper also restates the well-known fact that Kripke structures can be regarded as particular cases of neighbourhood structures. Section 3 reviews the soundness and completeness theorems proved w.r.t. the former structures by Fagin, Halpern, Moses and Vardi, as well as related results by Lismont. Section 4 reviews the corresponding theorems derived w.r.t. the latter structures by Lismont and Mongin. A general conclusion of the paper is that the axiomatization of CB does not require as strong systems of individual belief as was originally thought- only monotonicity has thusfar proved indispensable. Section 5 explains another consequence of general relevance: despite the "infinitary" nature of CB, the axiom systems of this paper admit of effective decision procedures, i.e., they are decidable in the logician's sense. (shrink)

The paper contains interpretation and comparative analysis of Machiavelli’s and Kant’s conceptions on rationality as two prime examples of “realist” and “idealist” modes of agency. Kantian model of rationality is viewed as an augmentation of the Machiavellian one, not an opposition to it. To elaborate the point, Robert Aumann’s model of act-rationality and rulerationality is applied to the two philosophical models. Kantian practical reason is interpreted as an addition to Aumann’s instrumental rationality, providing rules for rules, or “rule-rule-rationality”.

According to the standard objection to backward induction in games, its application depends on highly questionable assumptions about the players' expectations as regards future counterfactual game developments. It seems that, in order to make predictions needed for backward reasoning, the players must expect each player to act rationally at each node that in principle could be reached in the game, and also to expect that this confidence in the future rationality of the players would be kept by each player come (...) what may: even at the game-nodes that could only be reached by irrational play. Both expectations seem to be rather unreasonable: a player's initial disposition to rational behaviour may be weakened by a long stretch of irrational play on his part and, even more importantly, his initial confidence in the other players' future rationality may be undermined by an irrational play on their part. For different formulations of this objection see Binmore, Reny and, Bicchieri, Pettit and Sugden. and Aumann and.). (shrink)

The Sure-Thing Principle famously appears in Savage’s axiomatization of Subjective Expected Utility. Yet Savage introduces it only as an informal, overarching dominance condition motivating his separability postulate P2 and his state-independence postulate P3. Once these axioms are introduced, by and large, he does not discuss the principle any more. In this note, we pick up the analysis of the Sure-Thing Principle where Savage left it. In particular, we show that each of P2 and P3 is equivalent to a dominance condition; (...) that they strengthen in different directions a common, basic dominance axiom; and that they can be explicitly combined in a unified dominance condition that is a candidate formal statement for the Sure-Thing Principle. Based on elementary proofs, our results shed light on some of the most fundamental properties of rational choice under uncertainty. In particular they imply, as corollaries, potential simplifications for Savage’s and the Anscombe- Aumann axiomatizations of Subjective Expected Utility. Most surprisingly perhaps, they reveal that in Savage’s axiomatization, P3 can be weakened to a natural strengthening of so-called Obvious Dominance. (shrink)

This paper (first published under the same title in Journal of Mathematical Economics, 29, 1998, p. 331-361) is a sequel to "Consistent Bayesian Aggregation", Journal of Economic Theory, 66, 1995, p. 313-351, by the same author. Both papers examine mathematically whether the the following assumptions are compatible: the individuals and the group both form their preferences according to Subjective Expected Utility (SEU) theory, and the preferences of the group satisfy the Pareto principle with respect to those of the individuals. While (...) the 1995 paper explored these assumptions in the axiomatic context of Savage's (1954-1972) SEU theory, the present paper explores them in the context of Anscombe and Aumann's (1963) alternative SEU theory. We first show that the problematic assumptions become compatible when the Anscombe-Aumann utility functions are state-dependent and no subjective probabilities are elicited. Then we show that the problematic assumptions become incompatible when the Anscombe-Aumann utility functions are state-dependent, like before, but subjective probabilities are elicited using a relevant technical scheme. This last result reinstates the impossibilities proved by the 1995 paper, and thus shows them to be robust with respect to the choice of the SEU axiomatic framework. The technical scheme used for the elicitation of subjective probabilities is that of Karni, Schmeidler and Vind (1983). (shrink)

We develop a logical system that captures two different interpretations of what extensive games model, and we apply this to a long-standing debate in game theory between those who defend the claim that common knowledge of rationality leads to backward induction or subgame perfect (Nash) equilibria and those who reject this claim. We show that a defense of the claim à la Aumann (1995) rests on a conception of extensive game playing as a one-shot event in combination with a (...) principle of rationality that is incompatible with it, while a rejection of the claim à la Reny (1988) assumes a temporally extended, many-moment interpretation of extensive games in combination with implausible belief revision policies. In addition, the logical system provides an original inductive and implicit axiomatization of rationality in extensive games based on relations of dominance rather than the usual direct axiomatization of rationality as maximization of expected utility. (shrink)

Aumann and Serrano :810–836, 2008) introduce the axiom of duality, which ensures that risk measures respect comparative risk aversion. This paper characterizes all dual risk measures by a simple equivalent condition. This equivalence provides a decomposition result and a construction method, which is used to analyze concrete dual measures. Moreover, this paper aims to extend this characterization to the most general setting. Compared with Aumann and Serrano, it, therefore, relaxes the axiom of positive homogeneity, and allows for risk-neutral (...) and risk-seeking agents, as well as for all integrable gambles. (shrink)