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Book Some New Results for Equilibria of N person Games

Download or read book Some New Results for Equilibria of N person Games written by Ahmad Nahhas and published by . This book was released on 2017 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we present four journal articles in the area of game theory. In the first article, we define a generalized equilibrium for n-person normal form games. We prove that the Nash equilibrium and the mixed Berge equilibrium are special cases of the generalized equilibrium. In the second article, we study the computational complexity of finding a mixed Berge equilibrium in n-person normal form games. In particular, we prove that the problem is an NP-complete problem for n >= 3. In the third article, we give an interpretation of mixed strategies via resource allocation. Finally, in the fourth article, we extend the concept of the mixed Berge equilibrium to n-person extensive form games.

Book Dynamic Noncooperative Game Theory

Download or read book Dynamic Noncooperative Game Theory written by Tamer Basar and published by SIAM. This book was released on 1999-01-01 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.

Book N Person Game Theory

    Book Details:
  • Author : Anatol Rapoport
  • Publisher : Courier Corporation
  • Release : 2013-06-17
  • ISBN : 0486143678
  • Pages : 337 pages

Download or read book N Person Game Theory written by Anatol Rapoport and published by Courier Corporation. This book was released on 2013-06-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div

Book A Globally Convergent Algorithm to Compute All Nash Equilibria for N person Games

Download or read book A Globally Convergent Algorithm to Compute All Nash Equilibria for N person Games written by P. Jean-Jacques Herings and published by . This book was released on 2002 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Recent Developments in Mathematical Programming

Download or read book Recent Developments in Mathematical Programming written by Santosh Kumar and published by CRC Press. This book was released on 2022-01-27 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is concerned with theoretical developments in the area of mathematical programming, development of new algorithms and software and their applications in science and industry. It aims to expose recent mathematical developments to a larger audience in science and industry.

Book Computing equilibria of N person games

Download or read book Computing equilibria of N person games written by Robert B. Wilson and published by . This book was released on 1969 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Uncertainty and Imprecision in Decision Making and Decision Support  Cross Fertilization  New Models and Applications

Download or read book Uncertainty and Imprecision in Decision Making and Decision Support Cross Fertilization New Models and Applications written by Krassimir T. Atanassov and published by Springer. This book was released on 2017-10-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected papers from two important conferences held on October 12–14, 2016 in Warsaw, Poland: the Fourteenth National Conference of Operational and Systems Research, BOS-2016, one of the premiere conferences in the field of operational and systems research not only in Poland but also at the European level; and the Fifteenth International Workshop on Intuitionistic Fuzzy Sets and General Nets, IWIFSGN-2016, one of the foremost conferences on fuzzy logic, notably addressing extensions of the traditional fuzzy sets, as well as the Generalized Nets (GNs), a powerful extension of the traditional Petri net paradigm. The scope of the BOS con ferences includes all types of problems related to systems modeling, systems analysis, broadly perceived operational research, optimization, decision making, and decision support, to name but a few. In all these areas, virtually all models used have to take into account not only uncertainty in its traditional sense, but also imprecision of information. That is, in addition to traditional probabilistic and statistical tools and techniques, the use of methods based on fuzzy sets can also be sensible. Even more so, employing certain extensions of the classic concept of a fuzzy set can be very useful. Applying intuitionistic fuzzy sets, which are at the core of the IWIFSGN conferences, is a good example. Both conferences, BOS-2016 and IWIFSGN-2016, offered ideal venues for the exchange of ideas, cross-fertilization, and mutual inspiration.

Book Pareto Optimality  Game Theory and Equilibria

Download or read book Pareto Optimality Game Theory and Equilibria written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2008-07-02 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.

Book Stability and Perfection of Nash Equilibria

Download or read book Stability and Perfection of Nash Equilibria written by Eric van Damme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have been pleased with the favourable reception of the first edition of this book and I am grateful to have the opportunity to prepare this second edition. In this revised and enlarged edition I corrected some misprints and errors that occurred in the first edition (fortunately I didn't find too many) and I added a large number of notes that give the reader an impression of what kind of results have been obtained since the first edition was printed and that give an indication of the direction the subject is taking. Many of the notes discuss (or refer to papers discussing) applications of the refinements that are considered. Of course, it is the quantity and the quality of the insights and the applications that lend the refinements their validity. Although the guide to the applications is far from complete, the notes certainly allow the reader to form a good judgement of which refinements have really yielded new insights. Hence, as in the first edition, I will refrain from speculating on which refinements of Nash equilibria will survive in the long run. To defend this position let me also cite Binmore [1990] who compares writing about refinements to the Herculean task of defeating the nine-headed Hydra which grew too heads for each that was struck off. It is a pleasure to have the opportunity to thank my secretary, Marjoleine de Wit, who skilfully and, as always, cheerfully typed the manuscript and did the proofreading.

Book Computer Science    Theory and Applications

Download or read book Computer Science Theory and Applications written by Farid M. Ablaev and published by Springer. This book was released on 2010-06-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book constitutes the proceedings of the 5th International Computer Science Symposium in Russia, CSR 2010, held in Kazan, Russia, in June 2010. The 30 papers presented were carefully reviewed and selected from 62 submissions. The scope of topics of the symposium was quite broad and covered basically all areas of the foundations of theoretical computer science.

Book Algorithmic Game Theory

    Book Details:
  • Author : Giuseppe Persiano
  • Publisher : Springer Science & Business Media
  • Release : 2011-10-07
  • ISBN : 3642248284
  • Pages : 336 pages

Download or read book Algorithmic Game Theory written by Giuseppe Persiano and published by Springer Science & Business Media. This book was released on 2011-10-07 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Fourth International Symposium on Algorithmic Game Theory, SAGT 2011, held in Amalfi, Italy, in October 2011. The 26 revised full papers presented together with 2 invited lectures were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on auctions and advertising, quality of solutions, externalities, mechanism design, complexity, network games, pricing, as well as routing games.

Book Game Theory and the Law

    Book Details:
  • Author : Douglas G. Baird
  • Publisher : Harvard University Press
  • Release : 1994
  • ISBN : 9780674341111
  • Pages : 348 pages

Download or read book Game Theory and the Law written by Douglas G. Baird and published by Harvard University Press. This book was released on 1994 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to apply the tools of game theory and information economics to advance our understanding of how laws work. Organized around the major solution concepts of game theory, it shows how such well known games as the prisoner's dilemma, the battle of the sexes, beer-quiche, and the Rubinstein bargaining game can illuminate many different kinds of legal problems. Game Theory and the Law highlights the basic mechanisms at work and lays out a natural progression in the sophistication of the game concepts and legal problems considered.

Book Game Theory

    Book Details:
  • Author : Steve Tadelis
  • Publisher : Princeton University Press
  • Release : 2013-01-06
  • ISBN : 0691129088
  • Pages : 416 pages

Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Book Algorithmic Game Theory

Download or read book Algorithmic Game Theory written by Maria Serna and published by Springer. This book was released on 2012-10-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Symposium on Algorithmic Game Theory, SAGT 2012, held in Barcelona, Spain, in October 2012. The 22 revised full papers presented together with 2 invited lectures were carefully reviewed and selected from 65 submissions. The papers present original research at the intersection of Algorithms and Game Theory and address various current topics such as solution concepts in game theory; efficiency of equilibria and price of anarchy; complexity classes in game theory; computational aspects of equilibria; computational aspects of fixed-point theorems; repeated games; evolution and learning in games; convergence of dynamics; coalitions, coordination and collective action; reputation, recommendation and trust systems; graph-theoretic aspects of social networks; network games; cost-sharing algorithms and analysis; computing with incentives; algorithmic mechanism design; computational social choice; decision theory, and pricing; auction algorithms and analysis; economic aspects of distributed computing; internet economics and computational advertising.

Book Path Player Games

Download or read book Path Player Games written by Silvia Schwarze and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: A path player game is a new innovative type of game which considers network flow problems from the viewpoint of network owners. This strategy enables modeling real-world problems and has many practical applications. Key features: * Presents a rigorous exposition of the theoretical foundations of the concept of a path player game; * Suggests 18 practical open problems for future research in such areas as traffic planning, computation of equilibria, and optimization; * Examines potentials for games on polyhedra as well as integer versions of generalized Nash equilibria. Written clearly, with well-presented mathematics, this book is intended for graduate students, mathematicians, engineers, and computer scientists.

Book Web and Internet Economics

Download or read book Web and Internet Economics written by Evangelos Markakis and published by Springer. This book was released on 2015-12-07 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed proceedings of the 11th International Conference on Web and Internet Economics, WINE 2015, held in Amsterdam, The Netherlands, in December 2015. The 30 regular papers presented together with 8 abstracts were carefully reviewed and selected from 142 submissions and cover results on incentives and computation in theoretical computer science, artificial intelligence, and microeconomics.

Book Fundamentals of Computation Theory

Download or read book Fundamentals of Computation Theory written by Evripidis Bampis and published by Springer Nature. This book was released on 2021-09-11 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 23rd International Symposium on Fundamentals of Computation Theory, FCT 2021, held in Athens, Greece, in September 2021. The 30 full papers included in this volume were carefully reviewed and selected from 94 submissions. In addition, the book contains 2 invited talks. The papers cover topics of all aspects of theoretical computer science, in particular algorithms, complexity, formal and logical methods.