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)

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)

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 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)

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)

Our model integrates the nativist assumption of prespecified neural structures underpinning basic emotions with the constructionist view that emotions are assembled from psychological constituents. From a dynamic systems perspective, the nervous system self-organizes in different ways at different time scales, in relation to functions served by emotions. At the evolutionary scale, brain parts and their connections are specified by selective pressures. At the scale of development, connectivity is revised through synaptic shaping. At the scale of real time, temporary networks of (...) synchronized activity mediate responses to situations. To the degree that humans share common emotional functions, neural structuration is similar across scales, giving rise to “basic” emotions. However, unique developmental and situational factors select for neural configurations mediating emotional variants. (shrink)

Building on earlier work on the relationship between corporate social performance (CSP) and a firm’s financial performance, this integrative empirical study supports the theoretical argument that the higher a firm’s CSP the lower its financial risk. Specifically, the relationship between CSP and risk appears to be one of reciprocal causality, because prior CSP is negatively related to subsequent financial risk, and prior financial risk is negatively related to subsequent CSP. Additionally, CSP is more strongly correlated with measures of market risk (...) than measures of accounting risk. Of all CSP measures, reputation for social responsibility appears to be the most important one in terms of its risk implications. (shrink)

Efforts to bridge emotion theory with neurobiology can be facilitated by dynamic systems (DS) modeling. DS principles stipulate higher-order wholes emerging from lower-order constituents through bidirectional causal processes cognition relations. I then present a psychological model based on this reconceptualization, identifying trigger, self-amplification, and self-stabilization phases of emotion-appraisal states, leading to consolidating traits. The article goes on to describe neural structures and functions involved in appraisal and emotion, as well as DS mechanisms of integration by which they interact. These mechanisms (...) include nested feedback interactions, global effects of neuromodulation, vertical integration, action-monitoring, and synaptic plasticity, and they are modeled in terms of both functional integration and temporal synchronization. I end by elaborating the psychological model of emotion–appraisal states with reference to neural processes. (shrink)

This paper develops an incomplete information model of extended deterrence relationships. It postulates players who are fully informed about the costs of war and all other relevant variables, save for the values their opponents place on the issues at stake, i.e., the pawn. We provide consistent and intuitively satisfying parallel definitions for two types of players, Hard and Soft, in terms of the parameters of our model. We also answer several particular questions about the strategy choices of players in an (...) extended deterrence relationship and, by identifying all the Perfect Bayesian Equilibria of the game model we construct, specify typical behavior patterns.Our most general finding is that an Extended Deterrence Game always has a unique Perfect Bayesian Equilibrium with a rather simple form. A challenger initiates for certain if the pawn is valuable enough to it and never challenges otherwise, Likewise, a defender always resists if the pawn is valuable enough and never resists otherwise. (shrink)

Contra Wilkins & Wakefield, we argue that an evolutionarily inspired approach to language must consider different facets of language (i.e., more than syntax and semantics), and must explore the possibility of nonhuman precursors. Several examples are discussed, illustrating the power of the comparative approach in illuminating our understanding of language evolution.

Control measures, such as “lockdowns”, have been widely used to suppress the COVID-19 pandemic. Under some conditions, they prevent illness and save lives. But they also exact an economic toll. How should we balance the impact of such policies on individual lives and livelihoods (and other dimensions of concern) to determine which is best? A widely used method of policy evaluation, benefit–cost analysis (BCA), answers these questions by converting all the effects of a policy into monetary equivalents and then summing (...) them up. A different method, social welfare analysis, proceeds by determining the effects of a policy on individual wellbeing and then applying an aggregation formula to them to evaluate the overall effects of a policy. In this chapter, we survey these methods and argue that social welfare analysis has important advantages. One crucial advantage is that it enables ethical considerations relating to the impact of policies on individual wellbeing and its distribution to be incorporated into policy assessments in a transparent way. We illustrate this with a simple numerical model for evaluating pandemic policies that vary in terms of the stringency of the controls that they impose on individual behaviour, showing how the evaluation depends on the ethical significance accorded to their impact on the wellbeing of different age and income groups. (shrink)

The thesis we develop in this essay is that all humans are endowed with a moral faculty. The moral faculty enables us to produce moral judgments on the basis of the causes and consequences of actions. As an empirical research program, we follow the framework of modern linguistics.1 The spirit of the argument dates back at least to the economist Adam Smith (1759/1976) who argued for something akin to a moral grammar, and more recently, to the political philosopher John Rawls (...) (1971). The logic of the argument, however, comes from Noam Chomsky’s thinking on language specifically and the nature of knowledge more generally (Chomsky, 1986, 1988, 2000; Saporta, 1978). If the nature of moral knowledge is comparable in some way to the nature of linguistic knowledge, as defended recently by Harman (1977), Dwyer (1999, 2004), and Mikhail (2000; in press), then what should we expect to find when we look at the anatomy of our moral faculty? Is there a grammar, and if so, how can the moral grammarian uncover its structure? Are we aware of our moral grammar, its method of operation, and its moment-to-moment functioning in our judgments? Is there a universal moral grammar that allows each child to build a particular moral grammar? Once acquired, are different moral grammars mutually incomprehensible in the same way that a native Chinese speaker finds a native Italian speaker incomprehensible? How does the child acquire a particular moral grammar, especially if her experiences are impoverished relative to the moral judgments she makes? Are there certain forms of brain damage that disrupt moral competence but leave other forms of reasoning intact? And how did this machinery evolve, and for what particular adaptive function? We will have more to say about many of these questions later on, and Hauser (2006) develops others. However, in order to flesh out the key ideas and particular empirical research paths, let us turn to some of the central questions in the study of our language faculty.. (shrink)

Soon after its publication, Readings in Ancient Greek Philosophy was hailed as the favourite to become "the 'standard' text for survey courses in ancient philosophy. Over twenty years later that prediction has been borne out: Readings in Ancient Greek Philosophy still stands as the leading anthology of its kind. It is now stronger than ever: This 5th Edition features a completely revised Aristotle unit, with new translations, as well as a newly revised glossary. The Plato unit offers new translations of (...) the Meno and Republic. In the latter, indirect dialogue is cast into direct dialogue for greater readability. The Presocratics unit has been re-edited and streamlined, and the pages of every unit have been completely reset. (shrink)

What are the brain and cognitive systems that allow humans to play baseball, compute square roots, cook soufflés, or navigate the Tokyo subways? It may seem that studies of human infants and of non-human animals will tell us little about these abilities, because only educated, enculturated human adults engage in organized games, formal mathematics, gourmet cooking, or map-reading. In this chapter, we argue against this seemingly sensible conclusion. When human adults exhibit complex, uniquely human, culture-specific skills, they draw on a (...) set of psychological and neural mechanisms with two distinctive properties: they evolved before humanity and thus are shared with other animals, and they emerge early in human development and thus are common to infants, children, and adults. These core knowledge systems form the building blocks for uniquely human skills. Without them we wouldn’t be able to learn about different kinds of games, mathematics, cooking, or maps. To understand what is special about human intelligence, therefore, we must study both the core knowledge systems on which it rests and the mechanisms by which these systems are orchestrated to permit new kinds of concepts and cognitive processes. What is core knowledge? A wealth of research on non-human primates and on human infants suggests that a system of core knowledge is characterized by four properties (Hauser, 2000; Spelke, 2000). First, it is domain-specific: each system functions to represent particular kinds of entities such as conspecific agents, manipulable objects, places in the environmental layout, and numerosities. Second, it is task-specific: each system uses its representations to address specific questions about the world, such as “who is this?” [face recognition], “what does this do?” [categorization of artifacts], “where am I?” [spatial orientation], and “how many are here?” [enumeration]. Third, it is relatively encapsulated: each uses only a subset of the information delivered by an animal’s input systems and sends information only to a subset of the animal’s output systems. (shrink)

As a collective action problem, climate change is best tackled by coordination. Most moral philosophers therefore agree on our individual responsibility as political citizens to help establish such coordination. There is disagreement, however, on our individual responsibilities as consumers to reduce emissions before such coordination is established. In this article I argue that from a Kantian deontological perspective we have a perfect duty to refrain from activities that we would not perform if appropriate coordination were established. Moral autonomy means that (...) we do not need to wait for an external lawmaker to tell us what we ought to do. In practice, this means basing our decisions on a shadow price for carbon: if we would not go out for a drive on a sunny Sunday afternoon in a gas-guzzling sport utility vehicle if gas prices were twice as high, we should not do it now. Moreover, we have imperfect duties to reduce emissions by more than our perfect duties require. (shrink)

Intentions and emotions arise together, and emotions compel us to pursue goals. However, it is not clear when emotions become objects of awareness, how emotional awareness changes with goal pursuit, or how psychological and neural processes mediate such change. We first review a psychological model of emotional episodes and propose that goal obstruction extends the duration of these episodes while increasing cognitive complexity and emotional intensity. We suggest that attention is initially focused on action plans and their obstruction, and only (...) when this obstruction persists does focal attention come to include emotional states themselves. We then model the self-organization of neural activities that hypothetically underlie the evolution of an emotional episode. Phases of emotional awareness are argued to parallel phases of synchronization across neural systems. We suggest that prefrontal activities greatly extend intentional states while focal attention integrates emotional awareness and goal pursuit in a comprehensive sense of the self in the world. (shrink)

In this article I argue that governments are justified in addressing the potential for human induced climate damages on the basis of future generations' rights to bodily integrity and personal property. First, although future generations' entitlements to property originate in our present entitlements, the principle of self-ownership requires us to take 'reasonable care' of the products of future labour. Second, while Parfit's non-identity problem has as yet no satisfactory solution, the present absence of an equilibrium between theory and intuitions justifies (...) a precautionary approach, i.e. treating climate damage as a wrongful harm. In addition, a supplementary consideration is described as arising from transcendental needs. (shrink)

Neurocognitive models (e.g., Schirmer & Kotz, 2006) have helped to characterize how listeners incrementally derive meaning from vocal expressions of emotion in spoken language, what neural mechanisms are involved at different processing stages, and their relative time course. But how can these insights be applied to communicative situations in which prosody serves a predominantly interpersonal function? This comment examines recent data highlighting the dynamic interplay of prosody and language, when vocal attributes serve the sociopragmatic goals of the speaker or reveal (...) interpersonal information that listeners use to construct a mental representation of what is being communicated. Our comment serves as a beacon to researchers interested in how the neurocognitive system “makes sense” of socioemotive aspects of prosody. (shrink)

Decoding the function and meaning of a foreign culture's sounds and gestures is a notoriously difficult problem. It is even more challenging when we think about the sounds and gestures of nonhuman animals. This essay provides a review of what is currently known about the informational content and function of primate vocalizations, emphasizing the problems underlying the construction of a primate “dictionary.” In contrast to the Oxford English Dictionary, this dictionary provides entries to emotional expressions as well as potentially referential (...) expressions. It therefore represents a guide to what animals do with their vocalizations, as well as how they are represented by signalers and perceivers. I begin by a discussion of the unit problem, of how an acoustic space is carved up into functionally significant components leading to a species‐specific repertoire or lexicon of sorts. This section shows how little we know about the units of organization within animal vocal repertoires, and how such lack of information constrains our ability to tackle the problem of syntactic structure. In Section III, I review research on the production and perception of vocal signals that appear to be functionally referential. This work shows that several nonhuman primates produce vocalizations that share some of the key properties of reference, but certainly not all; the components that are missing raises questions about their role as precursors to human words. In Section IV, I explore the social uses of vocalizations, assessing whether the signal contains sufficient information for listeners to judge a caller's credibility; ultimately, caller credibility determines how receivers select an appropriate response. Results show that individuals can use calls to assess whether someone is reliable or unreliable, and that such attributes are associated with individuals and particular contexts. I conclude by synthesizing the issues presented and then raise some directions for future conceptual and methodological progress. (shrink)

Anthropologists have provided rich field descriptions of the norms and conventions governing behavior and interactions in small-scale societies. Here, we add a further dimension to this work by presenting hypothetical moral dilemmas involving harm, to a small-scale, agrarian Mayan population, with the specific goal of exploring the hypothesis that certain moral principles apply universally. We presented Mayan participants with moral dilemmas translated into their native language, Tseltal. Paralleling several studies carried out with educated subjects living in large-scale, developed nations, the (...) Mayan participants judged harms caused as the means to a greater good as more forbidden than harms caused as a side-effect (i.e., side-effect bias). However, unlike these other populations living in large-scale societies, as well as a more educated and less rural Mayan comparison group, the target rural Mayan participants did not judge actions causing harm as worse than omissions (i.e., omission bias). A series of probes targeting the action-omission distinction suggest that the absence of an omission bias among the rural Mayan participants was not due to difficulties comprehending the dilemmas, using the judgment scale, or in attributing a greater causal role for actions over omissions. Thus, while the moral distinction between means and side-effect may be more universal, the moral distinction between actions and omission appears to be open to greater cross-cultural variation. We discuss these results in light of issues concerning the role of biological constraints and cultural variation in moral decision-making, as well as the limitations of such experimental, cross-cultural research. (shrink)

Informed consent is central to the law of the physicianpatient relationship, respecting patient autonomy. This paper addresses a conflict between law and medicine in defining informed consent. Additionally, it addresses the possibility that patients prefer not to be “informed“ and would defer decision-making to their physicians.