Download or read book Essays in Epistemic Game Theory written by Akira Yokotani and published by . This book was released on 2011 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this thesis, we make three achievements in the field of epistemic game theory: First, we show the existence of a universal type space where redundant types can be embedded. Type spaces with redundant types cannot be represented in the standard universal type space (Mertens and Zamir [39]). In Chapter 1, we extend the universal type space of Mertens-Zamir by introducing a payoff irrelevant parameter space C as a missing source of uncertainty on the lines of Liu [33] so that redundant types also can be represented there. In contrast to Liu, we show that the parameter space C can always be an exogenous space, and moreover C = {0, 1} is always enough. In Chapter 2, we apply this idea of extended universal type spaces in order to generalize the existing results in robust implementation (Bergemann and Morris [7]). Adopting knowledge-belief spaces (Aumann [5] and [6]), we show that robust implementation is equivalent to Bayesian implementation on one particular belief structure. This result allows us to directly apply the results about Bayesian implementation, such as Jackson [29], to obtain a characterization result of robust implementation in a more general class of environments. In Chapter 3, we show the impossibility of robust implementation. We apply the idea of Saijo [49], which is about the impossibility of Nash implementation, and show that only constant social choice functions are robustly implementable in large domains of interdependent preferences"--Leaf iv.
Download or read book Essays on Epistemology and Evolutionary Game Theory written by Elias Tsakas and published by . This book was released on 2008 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Game Theory written by Michael Maschler and published by Springer New York. This book was released on 1994 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Epistemic Game Theory written by Andrés Perea and published by Cambridge University Press. This book was released on 2012-06-07 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook to explain the principles of epistemic game theory.
Download or read book Essays on the Foundations of Game Theory written by Ken Binmore and published by . This book was released on 1990 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Language of Game Theory written by Adam Brandenburger and published by World Scientific. This book was released on 2014 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program OCo now called epistemic game theory OCo extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior. Sample Chapter(s). Foreword (39 KB). Introduction (132 KB). Chapter 1: An Impossibility Theorem on Beliefs in Games (299 KB). Contents: An Impossibility Theorem on Beliefs in Games (Adam Brandenburger and H Jerome Keisler); Hierarchies of Beliefs and Common Knowledge (Adam Brandenburger and Eddie Dekel); Rationalizability and Correlated Equilibria (Adam Brandenburger and Eddie Dekel); Intrinsic Correlation in Games (Adam Brandenburger and Amanda Friedenberg); Epistemic Conditions for Nash Equilibrium (Robert Aumann and Adam Brandenburger); Lexicographic Probabilities and Choice Under Uncertainty (Lawrence Blume, Adam Brandenburger, and Eddie Dekel); Admissibility in Games (Adam Brandenburger, Amanda Friedenberg and H Jerome Keisler); Self-Admissible Sets (Adam Brandenburger and Amanda Friedenberg). Readership: Graduate students and researchers in the fields of game theory, theoretical computer science, mathematical logic and social neuroscience."
Download or read book Three Essays on Game Theory written by Sunghyun Na and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Game Theory and Mechanism Design written by Vi Thi Lan Cao and published by . This book was released on 2019 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In Chapter 1, for a dynamic partnership with moral hazard and adverse selection, we propose a profit division mechanism that identifies and incentivizes productive workers. The proposed mechanism satisfies constrained efficiency, periodic Bayesian incentive compati- bility, interim individual rationality, and ex-post budget balance. The corresponding profit division rule is implemented in perfect Bayesian equilibrium by a voting mechanism, in which each member is given a menu and is asked to vote. In each period, each member receives a compensation package which consists of an equity share and a fixed wage payment. Members' valuations of equity shares are interdependent and depend on endogenous effort contributions. In Chapter 2, we construct an M-round Prisoner's Dilemma epistemic game (1
Download or read book Epistemic Logic and the Theory of Games and Decisions written by M. Bacharach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The convergence of game theory and epistemic logic has been in progress for two decades and this book explores this further by gathering specialists from different professional communities, i.e., economics, mathematics, philosophy, and computer science. This volume considers the issues of knowledge, belief and strategic interaction, with each contribution evaluating the foundational issues. In particular, emphasis is placed on epistemic logic and the representative topics of backward induction arguments and syntax/semantics and the logical omniscience problem. Part I of this collection deals with iterated knowledge in the multi-agent context, and more particularly with common knowledge. The first two papers in Part II of the collection address the so-called logical omniscience problem, a problem which has attracted much attention in the recent epistemic logic literature, and is pertinent to some of the issues discussed by decision theorists under the heading 'bounded rationality'. The remaining two chapters of section II provide two quite different angles on the strength of S5 (or the partitional model of information)- and so two different reasons for eschewing the strong form of logical omniscience implicit in S5. Part III gives attention to application to game theory and decision theory.
Download or read book Essays in Game Theory written by Kong-Pin Chen and published by . This book was released on 1992 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Game Theory written by Simon J. Wilkie and published by . This book was released on 1990 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Game Theory written by Chih-Chun Yang and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This thesis is a collection of three essays on equilibrium, iterated admissibility, and rationalizability. In Chapter 1, we examine the epistemic foundation of iterated admissibility. Brandenburger, Friedenberg, and Keisler (2008 Econometrica 76, 307-352) propose the notion of rationality and common assumption of rationality (RCAR) to characterize iterated admissibility (IA). They show that when players are not indifferent, RCAR is empty in a complete and continuous type structure. We propose a notion of weak assumption as an extension of knowledge. We show that rationality and common weak assumption of rationality (RCWAR) is nonempty in a complete, continuous and compact type structure. Moreover, the outcome of RCWAR is IA. In Chapter 2, we propose a new notion of equilibrium in a finite normal form game where players are able to communicate by using correlated strategies and do not share a common prior belief. Subjective coalitional equilibrium is a refinement of Brandenburger and Dekel's (1987, Econometrica 55, 1391-1402) a posteriori equilibrium. We prove that every finite normal form game has a subjective coalitional equilibrium. We show that Luo and Yang's (2009, JET 144, 248-263) coalitional rationalizable set is outcome equivalent to a subjective coalitional equilibrium. Moreover, under the assumption of independent common priors, subjective coalitional equilibria are ex ante identical to the intersection of the set of Nash equilibria and coalitional rationalizable sets. Chapter 3 is based on a joint work with Xiao Luo entitled 'Epistemic Foundation of Bayesian Coalitional Rationalizability.' In Chapter 3, we establish epistemic foundations for the notion of Bayesian coalitional rationalizability (Bayesian c-Rationalizability) proposed by Luo and Yang (2009, JET 144, 248-263). In the standard semantic framework, we formulate a coalitional version of rationality (c-rationality) and offer an epistemic characterization of Bayesian c-rationalizability by common knowledge of c-rationality"--Leaves vi-vii
Download or read book Essays on Game Theory written by Satoru Takahashi and published by . This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third essay, co-written with Drew Fudenberg and David K. Levine, provides a characterization of the limit set of perfect public equilibrium payoffs of repeated games with imperfect public monitoring as the discount factor goes to one. Our result covers general stage games including those that fail a "full-dimensionality" condition that had been imposed in past work. It also provides a characterization of the limit set when the strategies are restricted in a way that endogenously makes the full-dimensionality condition fail, as in the strongly symmetric equilibrium studied. Finally, we use our characterization to give a sufficient condition for the exact achievability of first-best outcomes.
Download or read book Epistemic Game Theory and Logic written by Paul Weirich and published by MDPI. This book was released on 2018-04-27 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games
Download or read book Language Of Game Theory The Putting Epistemics Into The Mathematics Of Games written by Adam Brandenburger and published by World Scientific. This book was released on 2014-03-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior.
Download or read book Three Essays in Game Theory written by Jeroen M. Swinkels and published by . This book was released on 1990 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays in Applied Game Theory written by Theodore Mark Jaditz and published by . This book was released on 1987 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
