Results for 'Symmetric games'

993 found
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  1.  17
    Asymmetry – where evolutionary and developmental genetics meet.Philip Batterham, Andrew G. Davies, Anne Y. Game & John A. McKenzie - 1996 - Bioessays 18 (10):841-845.
    The mechanisms responsible for the fine tuning of development, where the wildtype phenotype is reproduced with high fidelity, are not well understood. The difficulty in approaching this problem is the identification of mutant phenotypes indicative of a defect in these fine‐tuning control mechanisms. Evolutionary biologists have used asymmetry as a measure of developmental homeostasis. The rationale for this was that, since the same genome controls the development of the left and right sides of a bilaterally symmetrical organism, departures from symmetry (...)
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  2.  39
    Two-Speed Evolution of Strategies and Preferences In Symmetric Games.Alex Possajennikov - 2004 - Theory and Decision 57 (3):227-263.
    Agents in a large population are randomly matched to play a certain game, payoffs in which represent fitness. Agents may have preferences that are different from fitness. They learn strategies according to their preferences, and evolution changes the preference distribution in the population according to fitness. When agents know the preferences of the opponent in a match, only efficient symmetric strategy profiles of the fitness game can be stable. When agents do not know the preferences of the opponent, only (...)
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  3.  34
    A paradox of rational choice: Reflections on rational non-cooperation in symmetrical games.A. Nathan - 1998 - Topoi 17 (2):167-177.
  4.  33
    Fishermen’s Profits Maximization: Case of Generalized Nash Equilibrium of a Non-symmetrical Game.Y. El Foutayeni & M. Khaladi - 2014 - Acta Biotheoretica 62 (3):325-338.
    In the present paper, we consider a bio-economic equilibrium model which describes the dynamics of a fish population fished by several fishermen seeking to maximize their profits. Each fisherman tries to find the fishing effort which maximizes his profit at biological equilibrium without any consultation with others, but all of them have to respect two constraints: (1) the sustainable management of the resources ; and (2) the preservation of the biodiversity. With all these considerations, our problem leads to a generalized (...)
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  5. Evolutive Equilibrium Selection I: Symmetric Two Player Binary Choice Games.Richard Vaughan - unknown
    The aim of the paper is the construction of a distributional model which enables the study of the evolutionary dynamics that arise for symmetric games, and the equilibrium selection mechanisms that originate from such processes. The evolution of probability distributions over the state variables is studied using the Fokker-Planck diffusion equation. Equilibrium selection using the ’’basin of attraction’’ approach, and a selection process suggested by Pontryagin are contrasted. Examples are provided for all generic 2-person symmetric binary choice (...)
     
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  6.  39
    Stable coalition structures in symmetric majority games: a coincidence between myopia and farsightedness.Takaaki Abe - 2018 - Theory and Decision 85 (3-4):353-374.
    The objective of this paper is to study stable coalition structures in symmetric majority games. We assume that players deviate from a coalition structure to another to maximize their power given by the Owen power index. We introduce three myopic core concepts and one farsighted stability concept, the farsighted vNM stable set. Our main result is that the pessimistic core, the largest myopic core, coincides with some farsighted vNM stable set for any number of players. Moreover, we show (...)
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  7. Effective choice in all the symmetric 2 × 2 games.David Goforth & David Robinson - 2012 - Synthese 187 (2):579-605.
    Solution concepts for game play implicitly assume what information is relevant for choosing moves. Maximin and Eliminating Dominated Strategies use payoff order; mixed strategies and Harsanyi's risk dominance use payoff values. "Cooperative" strategies use previous choices, ignoring payoffs altogether. We first define the 12 symmetric 2 × 2 games as a continuous payoff space then use this space to evaluate strategies based on different types of information. Strategic success is shown to be sensitive to actual payoffs and seldom (...)
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  8.  28
    Classification by decomposition: a novel approach to classification of symmetric $$2\times 2$$ games.Mikael Böörs, Tobias Wängberg, Tom Everitt & Marcus Hutter - 2022 - Theory and Decision 93 (3):463-508.
    In this paper, we provide a detailed review of previous classifications of 2 × 2 games and suggest a mathematically simple way to classify the symmetric 2 × 2 games based on a decomposition of the payoff matrix into a cooperative and a zero-sum part. We argue that differences in the interaction between the parts is what makes games interesting in different ways. Our claim is supported by evolutionary computer experiments and findings in previous literature. In (...)
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  9.  7
    Symmetric conflicts also allow for the investigation of attack and defense.Joachim Hüffmeier & Jens Mazei - 2019 - Behavioral and Brain Sciences 42.
    De Dreu and Gross argue that only asymmetric games allow the motives underlying defense and attack to be disentangled. However, the Prisoner's Dilemma Game Alt matrix, a modified symmetric PDG, also allows these motives to be disentangled. Studies using the PDG-Alt matrix produced findings contradicting a central claim of De Dreu and Gross.
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  10. Salience reasoning in coordination games.Julius Schönherr - 2021 - Synthese 199 (3-4):6601-6620.
    Salience reasoning, many have argued, can help solve coordination problems, but only if such reasoning is supplemented by higher-order predictions, e.g. beliefs about what others believe yet others will choose. In this paper, I will argue that this line of reasoning is self-undermining. Higher-order behavioral predictions defeat salience-based behavioral predictions. To anchor my argument in the philosophical literature, I will develop it in response and opposition to the popular Lewisian model of salience reasoning in coordination games. This model imports (...)
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  11.  17
    Asymmetric guessing games.Zafer Akin - 2023 - Theory and Decision 94 (4):637-676.
    This paper theoretically and experimentally investigates the behavior of asymmetric players in guessing games. The asymmetry is created by introducing r>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r>1$$\end{document} replicas of one of the players. Two-player and restricted N-player cases are examined in detail. Based on the model parameters, the equilibrium is either unique in which all players choose zero or mixed in which the weak player (r=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r=1$$\end{document}) imitates the (...)
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  12.  6
    Exploiting homogeneity in games with non-homogeneous revenue functions.Antoni Rubí-Barceló & Walter Ferrarese - 2023 - Theory and Decision 96 (2):333-349.
    We exploit the properties of homogeneous functions to characterize the symmetric pure-strategy Nash equilibria of n-player symmetric games in which each player’s revenue function is not homogeneous but it can be decomposed into the sum of homogeneous functions with different degrees of homogeneity. Our results aim to provide a pathway for an easy computation of symmetric equilibria for this type of games. We discuss our results in a Cournot game, a contest game, and a public (...)
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  13.  45
    Coordination in an email game without ``almost common knowledge''.Nicola Dimitri - 2003 - Journal of Logic, Language and Information 12 (1):1-11.
    The paper presents a variation of the EMAIL Game, originally proposed byRubinstein (American Economic Review, 1989), in which coordination ofthe more rewarding-risky joint course of actions is shown to obtain, evenwhen the relevant game is, at most, ``mutual knowledge.'' In the exampleproposed, a mediator is introduced in such a way that two individualsare symmetrically informed, rather than asymmetrically as in Rubinstein,about the game chosen by nature. As long as the message failure probabilityis sufficiently low, with the upper bound being a (...)
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  14.  7
    Economic Foundations of Symmetric Programming.Quirino Paris - 2010 - Cambridge University Press.
    The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying (...)
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  15.  14
    Computability and the game of cops and robbers on graphs.Rachel D. Stahl - 2022 - Archive for Mathematical Logic 61 (3):373-397.
    Several results about the game of cops and robbers on infinite graphs are analyzed from the perspective of computability theory. Computable robber-win graphs are constructed with the property that no computable robber strategy is a winning strategy, and such that for an arbitrary computable ordinal \, any winning strategy has complexity at least \}\). Symmetrically, computable cop-win graphs are constructed with the property that no computable cop strategy is a winning strategy. Locally finite infinite trees and graphs are explored. The (...)
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  16.  93
    Characterization of dominance relations in finite coalitional games.Felix Brandt & Paul Harrenstein - 2010 - Theory and Decision 69 (2):233-256.
    McGarvey (Econometrica, 21(4), 608–610, 1953) has shown that any irreflexive and anti-symmetric relation can be obtained as a relation induced by majority rule. We address the analogous issue for dominance relations of finite cooperative games with non-transferable utility (coalitional NTU games). We find any irreflexive relation over a finite set can be obtained as the dominance relation of some finite coalitional NTU game. We also show that any such dominance relation is induced by a non-cooperative game through (...)
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  17.  52
    On Hobbes’s state of nature and game theory.Bertrand Crettez - 2017 - Theory and Decision 83 (4):499-511.
    Hobbes’s state of nature is often analyzed in two-person two-action non-cooperative games. By definition, this literature only focuses on duels. Yet, if we consider general games, i.e., with more than two agents, analyzing Hobbes’s state of nature in terms of duel is not completely satisfactory, since it is a very specific interpretation of the war of all against all. Therefore, we propose a definition of the state of nature for games with an arbitrary number of players. We (...)
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  18.  77
    The Multilinear Extension and the Symmetric Coalition Banzhaf Value.J. M. Alonso-Meijide, F. Carreras & M. G. Fiestras-Janeiro - 2005 - Theory and Decision 59 (2):111-126.
    Alonso-Meijide and Fiestras-Janeiro (2002, Annals of Operations Research 109, 213–227) proposed a modification of the Banzhaf value for games where a coalition structure is given. In this paper we present a method to compute this value by means of the multilinear extension of the game. A real-world numerical example illustrates the application procedure.
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  19.  64
    K–Player Additive Extension of Two-Player games with an Application to the Borda Electoral Competition Game.Gilbert Laffond, Jean-François Laslier & Michel Le Breton - 2000 - Theory and Decision 48 (2):129-137.
    In this note we introduce the notion of K–player additive extension of a symmetric two-player game and prove a result relating the equilibria in mixed strategies in the two games. Then we apply the result to the Borda electoral competition game.
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  20.  38
    K–Player Additive Extension of Two-Player games with an Application to the Borda Electoral Competition Game.Gilbert Laffond, Jean-François Laslier & Michel Le Breton - 2000 - Theory and Decision 48 (2):129-137.
    In this note we introduce the notion of K–player additive extension of a symmetric two-player game and prove a result relating the equilibria in mixed strategies in the two games. Then we apply the result to the Borda electoral competition game.
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  21. Primary literature.Mike Game - 2007 - In Diarmuid Costello & Jonathan Vickery (eds.), Art: key contemporary thinkers. New York: Berg. pp. 159.
     
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  22. Foreword vii Acknowledgements viii.Essays on Cooperative Games, in Honor of Guillermo Owen & Gianfranco Gambarelli - 2004 - Theory and Decision 56:405-408.
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  23. Saṅgameśvarakrodam...Gummalūri Saṅgameśvarasāstri - 1933 - [Waltair],: Edited by Jagadīśatarkālaṅkāra.
     
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  24.  29
    RASMUSEN, ERIC, Folk Theorems for the Observable Implications of Repeated.Implications of Repeated Games - 1992 - Theory and Decision 32:147-164.
  25.  35
    Riding: Embodying the Centaur.Ann Game - 2001 - Body and Society 7 (4):1-12.
    Through a phenomenological study of horse-human relations, this article explores the ways in which, as embodied beings, we live relationally, rather than as separate human identities. Conceptually this challenges oppositional logic and humanist assumptions, but where poststructuralist treatments of these issues tend to remain abstract, this article is concerned with an embodied demonstration of the ways in which we experience a relational or in-between logic in our everyday lives.
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  26. Gender at Work.Ann Game & Rosemary Pringle - 1984
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  27.  48
    The Teacher’s Vocation: Ontology of Response.Ann Game & Andrew Metcalfe - 2008 - Studies in Philosophy and Education 27 (6):461-473.
    We argue that pedagogic authority relies on love, which is misunderstood if seen as a matter of actions and subjects. Love is based not on finite subjects and objects existing in Euclidean space and linear time, but, rather, on the non-finite ontology, space and time of relations. Loving authority is a matter of calling and vocation, arising from the spontaneous and simultaneous call-and-response of a lively relation. We make this argument through a reading of Buber’s I–You relation and Murdoch’ s (...)
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  28.  27
    Do brokers act in the best interests of their clients? New evidence from electronic trading systems.Annilee M. Game & Andros Gregoriou - 2014 - Business Ethics: A European Review 25 (2):187-197.
    Prior research suggests brokers do not always act in the best interests of clients, although morally obligated to do so. We empirically investigated this issue focusing on trades executed at best execution price, before and after the introduction of electronic limit-order trading, on the London Stock Exchange. As a result of limit-order trading, the proportion of trades executed at the best execution price for the customer significantly increased. We attribute this to a sustained increase in the liquidity of stocks as (...)
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  29.  20
    A factorial analysis of verbal learning tasks.Paul A. Games - 1962 - Journal of Experimental Psychology 63 (1):1.
  30.  16
    A Question of Fit: Cultural and Individual Differences in Interpersonal Justice Perceptions.Annilee M. Game & Jonathan R. Crawshaw - 2017 - Journal of Business Ethics 144 (2):279-291.
    This study examined the link between employees’ adult attachment orientations and perceptions of line managers’ interpersonal justice behaviors, and the moderating effect of national culture. Participants from countries categorized as low collectivistic and high collectivistic completed an online survey. Attachment anxiety and avoidance were negatively related to interpersonal justice perceptions. Cultural differences did not moderate the effects of avoidance. However, the relationship between attachment anxiety and interpersonal justice was non-significant in the Southern Asia cultural cluster. Our findings indicate the importance (...)
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  31.  12
    Comments on "A power comparison of the F and L tests: I.".Paul A. Games - 1966 - Psychological Review 73 (4):372-375.
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  32.  40
    Non-equilibrium thermodynamics and the brain.C. J. A. Game - 1994 - In Karl H. Pribram (ed.), Origins: Brain and Self-Organization. Lawrence Erlbaum. pp. 196.
  33. List of Contents: Volume 12, Number 3, June 1999.Jose L. SaÂnchez-GoÂmez, Jesus Unturbe, Ciprian Dariescu, Marina-Aura Dariescu, Rotationally Symmetric, Fabio Cardone, Mauro Francaviglia, Roberto Mignani, Energy-Dependent Phenomenological Metrics & Five-Dimensional Einstein - 1999 - Foundations of Physics 29 (10).
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  34. Theory and decison.Richard G. Brody, John M. Coulter, Alireza Daneshfar, Auditor Probability Judgments, Discounting Unspecified Possibilities, Paula Corcho, José Luis Ferreira & Generalized Externality Games - 2003 - Theory and Decision 54:375-376.
     
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  35.  47
    ‘In the Beginning is Relation’: Martin Buber’s Alternative to Binary Oppositions. [REVIEW]Andrew Metcalfe & Ann Game - 2012 - Sophia 51 (3):351-363.
    Abstract In this article we develop a relational understanding of sociality, that is, an account of social life that takes relation as primary. This stands in contrast to the common assumption that relations arise when subjects interact, an account that gives logical priority to separation. We will develop this relational understanding through a reading of the work of Martin Buber, a social philosopher primarily interested in dialogue, meeting, relationship, and the irreducibility and incomparability of reality. In particular, the article contrasts (...)
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  36. Nikil Mukerji.Christoph Schumacher, Economics Order Ethics & Game Theory - 2016 - In Christoph Luetge & Nikil Mukerji (eds.), Order Ethics: An Ethical Framework for the Social Market Economy. Springer.
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  37.  45
    Economic Darwinism.Birgitte Sloth & Hans Jørgen Whitta-Jacobsen - 2011 - Theory and Decision 70 (3):385-398.
    We define an evolutionary process of “economic Darwinism” for playing the field, symmetric games. The process captures two forces. One is “economic selection”: if current behavior leads to payoff differences, behavior yielding lowest payoff has strictly positive probability of being replaced by an arbitrary behavior. The other is “mutation”: any behavior has at any point in time a strictly positive, very small probability of shifting to an arbitrary behavior. We show that behavior observed frequently is in accordance with (...)
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  38. The Evolution of Cooperative Strategies for Asymmetric Social Interactions.Jörg Rieskamp & Peter M. Todd - 2006 - Theory and Decision 60 (1):69-111.
    How can cooperation be achieved between self-interested individuals in commonly-occurring asymmetric interactions where agents have different positions? Should agents use the same strategies that are appropriate for symmetric social situations? We explore these questions through the asymmetric interaction captured in the indefinitely repeated investment game (IG). In every period of this game, the first player decides how much of an endowment he wants to invest, then this amount is tripled and passed to the second player, who finally decides how (...)
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  39. Characterizations of the β- and the Degree Network Power Measure.René Van Den Brink, Peter Borm, Ruud Hendrickx & Guillermo Owen - 2008 - Theory and Decision 64 (4):519-536.
    A symmetric network consists of a set of positions and a set of bilateral links between these positions. For every symmetric network we define a cooperative transferable utility game that measures the “power” of each coalition of positions in the network. Applying the Shapley value to this game yields a network power measure, the β-measure, which reflects the power of the individual positions in the network. Applying this power distribution method iteratively yields a limit distribution, which turns out (...)
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  40.  21
    Effect of reduced opportunities on bargaining outcomes: an experiment with status asymmetries.Subrato Banerjee - 2020 - Theory and Decision 89 (3):313-346.
    Several allocation rules allow for possible violations of the ‘independence of irrelevant alternatives’ axiom in cooperative bargaining game theory. Nonetheless, there is no conclusive evidence on how contractions of feasible sets exactly affect bargaining outcomes. We have been able to identify a definite behavioral channel through which such contractions actually determine the outcomes of negotiated bargaining. We find that the direction and the extent of changes in bargaining outcomes, due to contraction of the feasible set, respond to the level of (...)
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  41.  31
    Correlated equilibrium in a nutshell.Rabah Amir, Sergei Belkov & Igor V. Evstigneev - 2017 - Theory and Decision 83 (4):457-468.
    We analyze the concept of correlated equilibrium in the framework of two-player two-strategy games. This simple framework makes it possible to clearly demonstrate the characteristic features of this concept. We develop an intuitive and easily memorizable test for equilibrium conditions and provide a complete classification of symmetric correlated equilibria in symmetric games.
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  42.  5
    The Evolution of Cooperative Strategies for Asymmetric Social Interactions.J. Rieskamp & P. M. Todd - 2006 - Theory and Decision 60 (1):69-111.
    How can cooperation be achieved between self-interested individuals in commonly-occurring asymmetric interactions where agents have different positions? Should agents use the same strategies that are appropriate for symmetric social situations? We explore these questions through the asymmetric interaction captured in the indefinitely repeated investment game (IG). In every period of this game, the first player decides how much of an endowment he wants to invest, then this amount is tripled and passed to the second player, who finally decides how (...)
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  43.  19
    Superrational types.Fernando A. Tohmé & Ignacio D. Viglizzo - 2019 - Logic Journal of the IGPL 27 (6):847-864.
    We present a formal analysis of Douglas Hofstadter’s concept of superrationality. We start by defining superrationally justifiable actions, and study them in symmetric games. We then model the beliefs of the players, in a way that leads them to different choices than the usual assumption of rationality by restricting the range of conceivable choices. These beliefs are captured in the formal notion of type drawn from epistemic game theory. The theory of coalgebras is used to frame type spaces (...)
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  44.  25
    Characterizations of the β- and the Degree Network Power Measure.René Brink, Peter Borm, Ruud Hendrickx & Guillermo Owen - 2008 - Theory and Decision 64 (4):519-536.
    A symmetric network consists of a set of positions and a set of bilateral links between these positions. For every symmetric network we define a cooperative transferable utility game that measures the “power” of each coalition of positions in the network. Applying the Shapley value to this game yields a network power measure, the β-measure, which reflects the power of the individual positions in the network. Applying this power distribution method iteratively yields a limit distribution, which turns out (...)
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  45. Evolution and Autonomy.Paul Studtmann & Shyam Gouri-Suresh - manuscript
    The use of evolutionary game theory to explain the evolution of human norms and the behavior of humans who act according to those norms is widespread. Both the aims and motivation for its use are clearly articulated by Harms and Skyrms (2008) in the following passage: "A good theory of evolution of norms might start by explaining the evolution of altruism in Prisoner’s Dilemma, of Stag Hunting, and of the equal split in the symmetric bargaining game. These are not (...)
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  46.  77
    Strategic behavior under partial cooperation.Subhadip Chakrabarti, Robert P. Gilles & Emiliya A. Lazarova - 2011 - Theory and Decision 71 (2):175-193.
    We investigate how a group of players might cooperate with each other within the setting of a non-cooperative game. We pursue two notions of partial cooperative equilibria that follow a modification of Nash’s best response rationality rather than a core-like approach. Partial cooperative Nash equilibrium treats non-cooperative players and the coalition of cooperators symmetrically, while the notion of partial cooperative leadership equilibrium assumes that the group of cooperators has a first-mover advantage. We prove existence theorems for both types of equilibria. (...)
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  47.  89
    Endogenous entry in lowest-unique sealed-bid auctions.Harold Houba, Dinard van der Laan & Dirk Veldhuizen - 2011 - Theory and Decision 71 (2):269-295.
    Lowest-unique sealed-bid auctions are auctions with endogenous participation, costly bids, and the lowest bid among all unique bids wins. Properties of symmetric NEs are studied. The symmetric NE with the lowest expected gains is the maximin outcome under symmetric strategies, and it is the solution to a mathematical program. Comparative statics for the number of bidders, the value of the item and the bidding cost are derived. The two bidders’ auction is equivalent to the Hawk–Dove game. Simulations (...)
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  48.  14
    A theory of unanimous jury voting with an ambiguous likelihood.Simona Fabrizi, Steffen Lippert, Addison Pan & Matthew Ryan - 2022 - Theory and Decision 93 (3):399-425.
    We examine collective decision-making in a jury voting game under the unanimity rule when voters have ambiguous beliefs. Unlike in existing studies (Ellis in Theoretical Economics 11:865–895, 2016; Fabrizi et al., in: AUT Economics Working Paper, 2021; Ryan in Theory and Decision 90:543–577, 2021), the locus of ambiguity is the likelihood function (signal precision) rather than the prior. This significantly alters the properties of symmetric equilibria. While prior ambiguity may induce multiple equilibria (Fabrizi et al., in: AUT Economics Working (...)
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  49.  27
    A note on monotonic power indices, smaller coalitions, and new members.Dominik Karos - 2016 - Theory and Decision 81 (1):89-100.
    Brams’ paradox of new members and Shenoy’s paradox of smaller coalitions are, in a sense, equivalent. They are both implied by the monotonicity of a power index: while the first is exhibited on every simple game that is not strong, the latter can be observed on every simple game in which players are not almost symmetric. For the Shapley–Shubik index, this symmetry condition is not only necessary but also sufficient to avoid the paradox of smaller coalitions.
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  50. Minimal Cooperation and Group Roles.Katherine Ritchie - 2020 - In Anika Fiebich (ed.), Minimal Cooperation and Shared Agency.
    Cooperation has been analyzed primarily in the context of theories of collective intentionality. These discussions have primarily focused on interactions between pairs or small groups of agents who know one another personally. Cooperative game theory has also been used to argue for a form of cooperation in large unorganized groups. Here I consider a form of minimal cooperation that can arise among members of potentially large organized groups (e.g., corporate teams, committees, governmental bodies). I argue that members of organized groups (...)
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