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Existence Of A Pure Strategy Equilibrium In Finite Symmetric Games Where Payoff Functions Are Integrally Concave
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Book Synopsis Existence of a Pure Strategy Equilibrium in Finite Symmetric Games Where Payoff Functions are Integrally Concave by : Takahiro Watanabe
Download or read book Existence of a Pure Strategy Equilibrium in Finite Symmetric Games Where Payoff Functions are Integrally Concave written by Takahiro Watanabe and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we show that a finite symmetric game has a pure strategy equilibrium if the payoff functions of players are integrally concave (the negative of the integrally convex functions due to Favati and Tardella [Convexity in nonlinear integer programming, Ricerca Operativa, 1990, 53:3-44]). Since the payoff functions of any two-strategy game are integrally concave, this generalizes the result of Cheng et al. , [Notes on equilibria in symmetric games, Proceedings of the 6th Workshop On Game Theoretic And Decision Theoretic Agents, 2004, 23-28]. A simple algorithm to find an equilibrium is also provided.
Book Synopsis Equilibrium Theory for Cournot Oligopolies and Related Games by : Pierre von Mouche
Download or read book Equilibrium Theory for Cournot Oligopolies and Related Games written by Pierre von Mouche and published by Springer. This book was released on 2016-04-22 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art collection of papers on the theory of Cournotian competition focuses on two main subjects: oligopolistic Cournot competition and contests. The contributors present various applications of the Cournotian Equilibrium Theory, addressing topics such as equilibrium existence and uniqueness, equilibrium structure, dynamic processes, coalitional behavior and welfare. Special emphasis is placed on the aggregative nature of the games that are relevant to such theory. This contributed volume was written to celebrate the 80th birthday of Prof. Koji Okuguchi, a pioneer in oligopoly theory.
Book Synopsis The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave by : Michael R. Baye
Download or read book The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave written by Michael R. Baye and published by . This book was released on 1990 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pure Strategy Equilibria in Symmetric Two-Player Zero-Sum Games by : Peter Dürsch
Download or read book Pure Strategy Equilibria in Symmetric Two-Player Zero-Sum Games written by Peter Dürsch and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We observe that a symmetric two-player zero-sum game has a pure strategy equilibrium if and only if it is not a generalized rock-paper-scissors matrix. Moreover, we show that every finite symmetric quasiconcave two-player zero-sum game has a pure equilibrium. Further sufficient conditions for existence are provided. Our findings extend to general two-player zero-sum games using the symmetrization of zero-sum games due to von Neumann. We point out that the class of symmetric two-player zero-sum games coincides with the class of relative payoff games associated with symmetric two-player games. This allows us to derive results on the existence of finite population evolutionary stable strategies.
Book Synopsis The Purification Problem for Constrained Games with Incomplete Information by : Helmut Meister
Download or read book The Purification Problem for Constrained Games with Incomplete Information written by Helmut Meister and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approach presented in this book combines two aspects of generalizations of the noncooperative game as developed by Nash. First, players choose their acts dependent on certain information variables, and second there are constraints on the sets of decisions for players. After the derivation of a general (Nash)equilibrium existence theorem, some results from purification theory are used to prove the existence of an approximate equilibrium in pure strategies, that is in nonrandomized decision functions. For some types of payoff-functions and constraints, these games prove to have an (exact) equilibrium in pure strategies. The reason for considering constrained games with incomplete information is that, apart from their game-theoretic importance, they have rather widespread application. Market games with a continuum of traders as well as some statistical decision problems are covered with this approach.
Book Synopsis On the Existence of Pure Strategy Nash Equilibria in Large Games by : Guilherme Carmona
Download or read book On the Existence of Pure Strategy Nash Equilibria in Large Games written by Guilherme Carmona and published by . This book was released on 2006 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider an asymptotic version of Mas-Colell's theorem on the existence of pure strategy Nash equilibria in large games. Our result states that, if players' payoff functions are selected from an equicontinuous family, then all sufficiently large games have an pure, equilibrium for all gt; 0. We also show that our result is equivalent to Mas-Colell's existence theorem, implying that it can properly be considered as its asymptotic version.
Book Synopsis Repeated Games by : Jean-François Mertens
Download or read book Repeated Games written by Jean-François Mertens and published by Cambridge University Press. This book was released on 2015-02-09 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: This landmark work significantly advances the literature on game theory with a masterful conceptual presentation of the CORE working papers published in 1994.
Book Synopsis The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics by : Mindia E. Salukvadze
Download or read book The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics written by Mindia E. Salukvadze and published by Springer Nature. This book was released on 2020-02-18 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? The Golden Rule of ethics, which appears in Christianity, Judaism, Islam, Buddhism, Confucianism and other world religions, states the following: “Behave towards others as you would like them to behave towards you." In any game, each party of conflict seeks to maximize some payoff. Therefore, for each player, the Golden Rule is implemented through the maximization of his/her payoff by all other players, which matches well with the concept of the Berge equilibrium. The approach presented here will be of particular interest to researchers (including undergraduates and graduates) and economists focused on decision-making under complex conflict conditions. The peaceful resolution of conflicts is the cornerstone of the approach: as a matter of fact, the Golden Rule precludes military clashes and violence. In turn, the new approach requires new methods; in particular, the existence problems are reduced to saddle point design for the Germeier convolution of payoff functions, with further transition to mixed strategies in accordance with the standard procedure employed by E. Borel, J. von Neumann, J. Nash, and their followers. Moreover, this new approach has proven to be efficient and fruitful with regard to a range of other important problems in mathematical game theory, which are considered in the Appendix.
Book Synopsis Diagonal Payoff Security and Equilibrium Existence in Quasi-symmetric Discontinuous Games by : Christian Ewerhart
Download or read book Diagonal Payoff Security and Equilibrium Existence in Quasi-symmetric Discontinuous Games written by Christian Ewerhart and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Previous evidence shows that better insurance coverage increases medical expenditure. However, formal studies on the effect of spending on health outcomes, and especially mental health, are lacking. To fill this gap, we reanalyze data from the Rand Health Insurance Experiment and estimate a joint non-linear model of spending and mental health. We address the endogeneity of spending in a flexible copula regression model with Bernoulli and Tweedie margins and discuss its implementation in the freely available GJRM R package. Results confirm the importance of accounting for endogeneity: in the joint model, a $1000 spending in mental care is estimated to reduce the probability of low mental health by 1.3 percentage points, but this effect is not statistically significant. Ignoring endogeneity leads to a spurious (upwardly biased) estimate.Payoff security combined with reciprocal upper semicontinuity is sufficient for better-reply security, and consequently for the existence of a pure strategy Nash equilibrium in compact, quasiconcave games by Reny's (1999) theorem. Analogously, diagonal payoff security combined with upper semicontinuity of the diagonal payoff function has been widely understood to be sufficient for diagonal better-reply security, and consequently for the existence of a symmetric pure strategy Nash equilibrium in compact, diagonally quasiconcave, quasi-symmetric games. We show by example that this is incorrect. Specifically, diagonal better-reply security may fail to hold, and a symmetric pure strategy equilibrium may fail to exist, if some player's payoff function lacks lower semicontinuity, with respect to the opponents' symmetric strategy profile, at all strategy profiles reached from a non-equilibrium profile on the diagonal by a unilateral better response of that player. These difficulties disappear, both in the game and in its mixed extension, if the lower bound on a player's payoff in the definition of diagonal payoff security is raised to reflect the higher levels that arbitrary better responses may achieve. We also discuss the relationship between our strengthened condition and diagonal payoff security.
Book Synopsis THE EXISTENCE OF PURE-STRATEGY NASH EQUILIBRIUM IN GAMES WITH PAYOFFS THAT ARE NOT QUASINCONCAVE by : Michael R. BAYE
Download or read book THE EXISTENCE OF PURE-STRATEGY NASH EQUILIBRIUM IN GAMES WITH PAYOFFS THAT ARE NOT QUASINCONCAVE written by Michael R. BAYE and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Existence of Equilibria in Incomplete Information Games with Disturbed Payoffs by : Brian John Crone
Download or read book Existence of Equilibria in Incomplete Information Games with Disturbed Payoffs written by Brian John Crone and published by . This book was released on 1990 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave by : Michael R. Baye
Download or read book The Existence of Pure-strategy Nash Equilibrium in Games with Payoffs that are Not Quasiconcave written by Michael R. Baye and published by . This book was released on 1990 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Unique Solutions for Strategic Games by : Werner Güth
Download or read book Unique Solutions for Strategic Games written by Werner Güth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general solution concept for strategic games which resolves strategic uncertainty completely. The concept is described by a mathematically formulated solution procedure and illustrated by applying it to many interesting examples. A long nontechnical introduction tries to survey and to discuss the more technical parts of the book. The book and especially the introduction provide firm and consistent guidance for scholars of game theory. There are many open problems which could inspire further research efforts.
Book Synopsis Pure Strategies in Games with Private Information by : Ali Khan
Download or read book Pure Strategies in Games with Private Information written by Ali Khan and published by . This book was released on 1994 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs by : Rupert Gatti
Download or read book A Note on the Existence of Nash Equilibrium in Games with Discontinuous Payoffs written by Rupert Gatti and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper generalises the approach taken by Dasgupta & Maskin (1986) and Simon (1989) and provides necessary and sufficient conditions for the existence of pure and mixed strategy Nash equilibrium in games with continuous strategy spaces and discontinuous payoff functions. The conditions can be applied widely, and examples for existence of pure strategy and monotonic equilibria in First-Price auctions are provided. The conditions are also appropriate for ensuring that computer generated equilibrium solutions can be extended to continuous strategy spaces.
Book Synopsis On the existence of equilibrium in pure strategies in symmetric games on the cube by : John Roberts
Download or read book On the existence of equilibrium in pure strategies in symmetric games on the cube written by John Roberts and published by . This book was released on 1975 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Equilibrium Existence in Games with Incomplete Information by : Nabil I. Al-Najjar
Download or read book Equilibrium Existence in Games with Incomplete Information written by Nabil I. Al-Najjar and published by . This book was released on 1999 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
