Download or read book The Nucleolus is Contested garment consistent written by Jean-Pierre Benoît and published by . This book was released on 1997 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Game Theory written by Michael Maschler and published by Cambridge University Press. This book was released on 2013-03-21 with total page 1007 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both noncooperative and cooperative games, this comprehensive introduction to game theory also includes some advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings and the bargaining set. Mathematically oriented, the book presents every theorem alongside a proof. The material is presented clearly and every concept is illustrated with concrete examples from a broad range of disciplines. With numerous exercises the book is a thorough and extensive guide to game theory from undergraduate through graduate courses in economics, mathematics, computer science, engineering and life sciences to being an authoritative reference for researchers.
Download or read book Cooperative Games Solutions and Applications written by Theo S. H. Driessen and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.
Download or read book An Introductory Course on Mathematical Game Theory written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2021-10-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.
Download or read book An Introductory Course on Mathematical Game Theory and Applications written by Julio González-Díaz and published by American Mathematical Society. This book was released on 2023-12-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.
Download or read book Bridging Mathematics Statistics Engineering and Technology written by Bourama Toni and published by Springer Science & Business Media. This book was released on 2012-09-05 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited contributions from talks delivered in the Fall 2011 series of the Seminar on Mathematical Sciences and Applications 2011 at Virginia State University. Contributors to this volume, who are leading researchers in their fields, present their work in a way to generate genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed and help to foster student interest in science, technology, engineering and mathematics and to stimulate graduate and undergraduate research and collaboration between researchers in different areas. This work is suitable for both students and researchers in a variety of interdisciplinary fields namely, mathematics as it applies to engineering, physical-chemistry, nanotechnology, life sciences, computer science, finance, economics, and game theory.
Download or read book Are Fixed Effects Fixed written by Douglas W. Dwyer and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Assets Beliefs and Equilibria in Economic Dynamics written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.
Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
Download or read book How to Divide When There Isn t Enough written by William Thomson and published by Cambridge University Press. This book was released on 2019-09-05 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the modern theory of economic design, this book develops an up-to-date treatment of the adjudication of conflicting claims. In addition to covering all aspects of claims problems, it links claims problems with other economic literatures, most prominently the game theory literature.
Download or read book The Mathematics of Decisions Elections and Games written by Karl-Dieter Crisman and published by American Mathematical Society. This book was released on 2014-08-29 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions on The Mathematics of Decisions, Elections, and Games, held January 4, 2012, in Boston, MA, and January 11-12, 2013, in San Diego, CA. Decision theory, voting theory, and game theory are three intertwined areas of mathematics that involve making optimal decisions under different contexts. Although these areas include their own mathematical results, much of the recent research in these areas involves developing and applying new perspectives from their intersection with other branches of mathematics, such as algebra, representation theory, combinatorics, convex geometry, dynamical systems, etc. The papers in this volume highlight and exploit the mathematical structure of decisions, elections, and games to model and to analyze problems from the social sciences.
Download or read book Fair Share written by Isaac Elishakoff and published by Springer Nature. This book was released on with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Equity written by H. Peyton Young and published by Princeton University Press. This book was released on 2020-06-16 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Governments and institutions, perhaps even more than markets, determine who gets what in our society. They make the crucial choices about who pays the taxes, who gets into college, who gets medical care, who gets drafted, where the hazardous waste dump is sited, and how much we pay for public services. Debate about these issues inevitably centers on the question of whether the solution is "fair." In this book, H. Peyton Young offers a systematic explanation of what we mean by fairness in distributing public resources and burdens, and applies the theory to actual cases.
Download or read book Handbook of Social Choice and Welfare written by Kenneth Joseph Arrow and published by Gulf Professional Publishing. This book was released on 2002 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Social Choice and Welfare presents, in two volumes, essays on past and on-going work in social choice theory and welfare economics. The first volume consists of four parts. In Part 1 (Arrovian Impossibility Theorems), various aspects of Arrovian general impossibility theorems, illustrated by the simple majority cycle first identified by Condorcet, are expounded and evaluated. It also provides a critical survey of the work on different escape routes from impossibility results of this kind. In Part 2 (Voting Schemes and Mechanisms), the operation and performance of voting schemes and cost-sharing mechanisms are examined axiomatically, and some aspects of the modern theory of incentives and mechanism design are expounded and surveyed. In Part 3 (structure of social choice rules), the positional rules of collective decision-making (the origin of which can be traced back to a seminal proposal by Borda), the game-theoretic aspects of voting in committees, and the implications of making use of interpersonal comparisons of welfare (with or without cardinal measurability) are expounded, and the status of utilitarianism as a theory of justice is critically examined. It also provides an analytical survey of the foundations of measurement of inequality and poverty. In order to place these broad issues (as well as further issues to be discussed in the second volume of the Handbook) in perspective, Kotaro Suzumura has written an extensive introduction, discussing the historical background of social choice theory, the vistas opened by Arrow's Social Choice and Individual Values, the famous "socialist planning" controversy, and the theoretical and practical significance of social choice theory. The primary purpose of this Handbook is to provide an accessible introduction to the current state of the art in social choice theory and welfare economics. The expounded theory has a strong and constructive message for pursuing human well-being and facilitating collective decision-making. *Advances economists' understanding of recent advances in social choice and welfare *Distills and applies research to a wide range of social issues *Provides analytical material for evaluating new scholarship *Offers consolidated reviews and analyses of scholarship in a framework that encourages synthesis--
Download or read book Journal of Economic Theory written by Karl Shell and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Game Theory for the Social Sciences written by Pierre Dehez and published by Springer Nature. This book was released on with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Truth is in the Eye of the Beholder Or Equilibrium in Beliefs and Rational Learning in Games written by Yaw Nyarko and published by . This book was released on 1998 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
