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)

It is well known that Nash equilibria may not be Pareto-optimal; worse, a unique Nash equilibrium may be Pareto-dominated, as in Prisoners’ Dilemma. By contrast, we prove a previously conjectured result: every finite normal-form game of complete information and common knowledge has at least one Pareto-optimal nonmyopic equilibrium (NME) in pure strategies, which we define and illustrate. The outcome it gives, which depends on where play starts, may or may not coincide with that given by a Nash equilibrium. We use (...) some simple examples to illustrate properties of NMEs—for instance, that NME outcomes are usually, though not always, maximin—and seem likely to foster cooperation in many games. Other approaches for analyzing farsighted strategic behavior in games are compared with the NME analysis. (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)

The concepts of omniscience and omnipotence are defined in 2 ? 2 ordinal games, and implications for the optimal play of these games, when one player is omniscient or omnipotent and the other player is aware of his omniscience or omnipotence, are derived. Intuitively, omniscience allows a player to predict the strategy choice of an opponent in advance of play, and omnipotence allows a player, after initial strategy choices are made, to continue to move after the other player is forced (...) to stop. Omniscience and its awareness by an opponent may hurt both players, but this problem can always be rectified if the other player is omniscient. This pathology can also be rectified if at least one of the two players is omnipotent, which can override the effects of omniscience. In some games, one player's omnipotence ? versus the other's ? helps him, whereas in other games the outcome induced does not depend on which player is omnipotent. Deducing whether a player is superior (omniscient or omnipotent) from the nature of his game playing alone raises several problems, however, suggesting the difficulty of devising tests for detecting superior ability in games. (shrink)

The Belief Game is a two-person, nonzero-sum game in which both players can do well [e.g., at (3, 4)] or badly [e.g., at (1,1)] simultaneously. The problem that occurs in the play of this game is that its rational outcome of (2, 3) is not only unappealing to both players, especially God, but also, paradoxically, there is an outcome, (3, 4), preferred by both players that is unattainable. Moreover, because God has a dominant strategy, His omniscience does not remedy the (...) situation, though - less plausibly - if man possessed this quality, and God were aware of it, (3, 4) would be attainable.How reasonable is it to use the device of a simple game to argue that nonrevelation by God, and nonbelief by man, are rational strategies? Like any model of a complex reality, the Belief Game abstracts a great deal from the problem that confronts the thoughtful agnostic asking the most profound of existential questions. Yet, to the degree that belief in God is seen as a personal question, conceptualized in terms of a possible relationship one might have with one's Creator, it seems appropriate to try to model this relationship as a game. The most difficult question to answer, I suppose, is, if God exists, what are His preferences in such a game?I have argued that He would first like to be believed, but at the same time not reveal Himself. These goals, in my opinion, are consistent with the role He assumes in many biblical stories, although this is not to say that the Bible offers the final word on philosophical and theological matters in the modern world. Nevertheless, it seems to me to be a logical place from which to start, and the clues it offers on God's preferences seem not contradicted by contemporary events.Of course, the Belief Game supposes that God not only has preferences but makes choices as well. To many people today - myself included - these choices are not apparent. But if He does make them, and in particular chooses not to reveal Himself, I think the Belief Game helps us to understand why nonrevelation is rational. Furthermore, it gives us insight into why, given this choice by God, our own reasons for believing in Him - in a game-theoretic context - may be rendered tenuous. (shrink)

A number of modern logic books give a misrepresentation of Mill's Methods as originally conceived by Mill. In this paper, I point out what I believe is a better presentation of Mill's Methods. This treatment is not only historically more accurate, but it also represents a better conceptual introduction to Mill's Methods in general.

The latter part of the 20th century is known for a surge in the so-called ‘genitive theologies’. Usually, a genitive theology has an ulterior motive, aiming at the transformation of a society or the promotion of sound politics and economy. In recent years, this trend culminated in public theology. The issue of religion with an ulterior motive was raised by Van de Beek in a seminal article focusing on theology without gaining anything from it as an answer to the surging (...) genitive theologies of the latter part of the 20th century and the public theologies of today. Taking into account Van de Beek’s critique against ‘religion with an ulterior motive’, this article explores the concept of the church as a moral agent in dialogue with Van de Beek. The central theoretical argument of this investigation is that Van de Beek’s ecclesiology is valuable when defining the role of the church as a moral agent. However, the perspective of the Kingdom of God concerning the church can enrich one’s views and can add value to his valid critique on public theology. (shrink)

The controversy surrounding the use of hydroxychloroquine, an antimalarial drug, for COVID-19 has raised numerous ethical and policy problems. Since the suggestion that HCQ has potential for COVID-19, there have been varying responses from clinicians and healthcare institutions, ranging from adoption of protocols using HCQ for routine care to the conduct of randomised controlled trials to an effective system-wide prohibition on its use for COVID-19. In this article, we argue that the concept of ‘disease public profile’ has become a prominent, (...) if not the sole, determinant in decision-making across various healthcare responses to the pandemic. In the case of COVID-19, the disease’s public profile is based on clinical and non-clinical factors that include contagiousness, clinical presentation and media coverage. In particular, we briefly examine the dangers of a heightened public profile in magnifying the inequality of diseases and undermining three key ethical concepts, namely evidence-based practice, sustainable allocation and meaningful consent. (shrink)

This is s review essay on Steven J. Brams's "Superior Beings".

This paper analyzes criteria of fair division of a set of indivisible items among people whose revealed preferences are limited to rankings of the items and for whom no side payments are allowed. The criteria include refinements of Pareto optimality and envy-freeness as well as dominance-freeness, evenness of shares, and two criteria based on equally-spaced surrogate utilities, referred to as maxsum and equimax. Maxsum maximizes a measure of aggregate utility or welfare, whereas equimax lexicographically maximizes persons' utilities from smallest to (...) largest. The paper analyzes conflicts among the criteria along with possibilities and pitfalls of achieving fair division in a variety of circumstances. (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)

IN Plato’s eyes, unity was a prime requisite of civil society: “there is no greater good than whatsoever binds the State together into one”. Plato carried his conception of unity to an extreme; for his organic conception has the defect of postulating members who are means to the life of the rest, and do not share in that life. And yet Plato argues from his organic conception of the state to the conclusion, that as in an organism part must be (...) proportioned to suit part, and all to suit the whole—as no part must grow unduly, lest every part should suffer—so in a State class must be proportioned to class, and all classes be adjusted to the good of the whole. (shrink)

This volume is a comprehensive study of the basic questions of philosophy of religion. What is distinctive about its approach is the author’s encyclopedic command of the actual practices of the eleven major world religions now extant.

This book explores an undeveloped area in postmodern thought: organizational ethics. Ethical debates and analyses usually focus on a particular act or action, an actor, and/or how a secular society should address any of those particular persons or events. In the Post Modern age, ethical decisions and policies are characterized by moral and cultural pluralism. However, there is a second factor that complicates ethical and policy decisions even further. This book argues that in the postmodern age ethical decisions often need (...) to be understood as part of the decision making of organizations and bureaucracies. Organizational decisions often have direct bearing on the choices made by individuals. Two areas that exemplify postmodern issue are the areas of health care and education. For example the decision making of Admissions Officers in American higher education, are influenced by decisions that have been made by the university about the size of the class and the diversity of the class. Health Care organizations make policy decisions that affect every aspect of a patient’s care from admission to treatment and the types of care that are or are not offered. Both education and health care are the object of the significant investment of resources, both areas are value laden in postmodern, pluralistic societies, and yet we do not have a comprehensive method to understand them or evaluate them. This book is of interest to bioethicists, physicians, nurses, health care policy students, educational policy experts, students and government regulators. (shrink)

In this paper the authors argue that research ethics committees should not be paternalistic by rejecting research that poses risk to people competent to decide for themselves. However it is important they help to ensure valid consent is sought from potential recruits and protect vulnerable people who cannot look after their own best interests. The authors first describe the tragic deaths of Jesse Gelsinger and Ellen Roche. They then discuss the following claims to support their case: competent individuals are epistemologically (...) and ethically in the best position to say which risks are reasonable for them, so RECs should be no more restrictive than the “normal” constraints on people taking risks with themselves; RECs do not judge individual competence ; individual liberty is mostly limited by what serves the public interest, and RECs do not determine public interest; RECs may have a paternalistic role in preventing exploitation of competent people vulnerable to the use of incentives, and in protecting the interests of incompetent people; however, the moral and political authority of RECs has not been established in this respect. (shrink)

Introduction -- Tending the dark fire: the Boehmian notion of drive -- The night-side of nature: the early Schellingian unconscious -- The speculative psychology of dissociation: the later Schellingian unconscious -- Schellingian libido theory.

In examining Ennead VI 4[22], we find Plotinus in conflict with modern, i.e., Cartesian or Kantian, assumptions about the relation of soul and body and the identification of the self with the subject. Curiously, his images and exposition are more in tune with Twentieth Century notions such as wave and field. With these as keys, we are in a position to unlock the subtlety of Plotinus' analysis of the way soul and body are present together, with sensation structured through the (...) body and judgment coming from the soul. The problem of the self concerns not only the unity of the self in terms of body and soul, but also how the self is constituted in relation to other selves, both keeping its individuality and sharing its experiences at the same time. (shrink)

Menander's lost comedyThaiswith its famous protagonist, thehetairalover of Ptolemy I Soter and perhaps Alexander himself, was plainly well known at Rome, and is alluded to several times in Latin poetry of the Augustan and later periods, as Ariana Traill has shown. My purpose here is to argue that the literary characterisation of Thais in Menander's play underlies certain aspects of Lesbia as presented in the poetry of Catullus; that Catullus' poetry uses the plays of Menander has been demonstrated by Richard (...) Thomas, arguing that Catullus 8 shows clear traces of Demea's monologue in theSamia(325–56). (shrink)

The limitation of act by potency, central in the metaphysics of Thom as Aquinas, has its origins in Plotinus. He transforms Aristotle ’s horizontal causality of change into a vertical causality of participation. Potency and infinity are not just un intelligible lack of limit, but productive power. Form determines matter but is limited by recepti on into matter. The experience of unity begins with sensible things, which always have parts, so what is really one is incorporeal, without division and separation. (...) Unity is like the esse of Thomas, since it is the act that makes a thing what it is and has its fullness in God. (shrink)

How do we know that our own actions belong to us? How are we able to distinguish self-generated sensory events from those that arise externally? In this paper, I will briefly discuss experiments that were designed to investigate these questions. In particularly, I will review psychophysical and neuroimaging studies that have investigated how we recognise the consequences of our own actions, and why patients with delusions of control confuse self-produced and externally produced actions and sensations. Studies investigating the failure of (...) this 'self-monitoring' mechanism in patients with delusions of control will be discussed in the context of the hypothesis that overactivity in the parietal cortex and the cerebellum contribute to the misattribution of an action to an external source (). (shrink)

Context: Philosophical debates in recent decades have developed new ways of dealing with old philosophical problems such as reality, truth, knowledge, language, communication, and action. These new approaches deserve serious consideration because they can improve the discourse of radical constructivism. Problem: This paper discusses the following problem: How can we overcome dualistic and ontological approaches to basic philosophical problems – problems that are relevant to all scientific domains? Method: The method applied here can be roughly described as a transition from (...) entities/substantives/identities to actions and processes, the actions and processes from which so-called entities result. Action-orientation – or an actor-based process – is necessarily combined with sense-orientation as provided by culture and society. Results: The paper demonstrates how the problems mentioned above can be reformulated in a non-dualistic and non-ontological way. Implications: Opening up constructivist thinking to insights provided by neighbouring philosophical approaches facilitates interdisciplinary cooperation and helps overcome dualistic remnants – as well as the cognitive one-sidedness of traditional constructivism. (shrink)