Values Of Non Atomic Games

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Values of Non-Atomic Games

Author : Robert J. Aumann
Publisher : Princeton University Press
ISBN 13 : 1400867088
Total Pages : 348 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Values of Non-Atomic Games by : Robert J. Aumann

Download or read book Values of Non-Atomic Games written by Robert J. Aumann and published by Princeton University Press. This book was released on 2015-03-08 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics—a study of non-additive set functions and associated linear operators. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Values of Non-atomic Games I

Author : R.J. Aumann
Publisher :
ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.:/5 (634 download)

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Book Synopsis Values of Non-atomic Games I by : R.J. Aumann

Download or read book Values of Non-atomic Games I written by R.J. Aumann and published by . This book was released on 1968 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Values of Non-atomic Games

Author : Robert J. Aumann
Publisher :
ISBN 13 :
Total Pages : 77 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Values of Non-atomic Games by : Robert J. Aumann

Download or read book Values of Non-atomic Games written by Robert J. Aumann and published by . This book was released on 1969 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper reports the second study in a series concerned with the value of participation in a non-atomic game. A non-atomic game is a special type of infinite-person game in which no individual player has significant influence on the outcome. The work develops the concept of mixing value and presents a new approach based on mixing transformations. A program is outlined for imposing a probability measure on the space of all measurable orders. Some consideration is given to the asymptotic approach, in which a game with a continuum is treated as a limit of games with finitely many players. It is significant that all values defined in the axiomatic, mixing, and asymptotic approaches possess a common diagonal property.

Collected Papers

Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011556
Total Pages : 818 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis Collected Papers by : Robert J. Aumann

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.

Handbook of Game Theory with Economic Applications

Author : R.J. Aumann
Publisher : Elsevier
ISBN 13 : 9780444894274
Total Pages : 824 pages
Book Rating : 4.8/5 (942 download)

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Book Synopsis Handbook of Game Theory with Economic Applications by : R.J. Aumann

Download or read book Handbook of Game Theory with Economic Applications written by R.J. Aumann and published by Elsevier. This book was released on 1992 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Potential in Non-atomic Games

Author : Timothy Douglas Watson
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Potential in Non-atomic Games by : Timothy Douglas Watson

Download or read book Potential in Non-atomic Games written by Timothy Douglas Watson and published by . This book was released on 1994 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400959915
Total Pages : 555 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Encyclopaedia of Mathematics

Author : M. Hazewinkel
Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 832 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Topics in Mathematical Economics and Game Theory

Author : Robert J. Aumann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821805251
Total Pages : 306 pages
Book Rating : 4.8/5 (52 download)

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Book Synopsis Topics in Mathematical Economics and Game Theory by : Robert J. Aumann

Download or read book Topics in Mathematical Economics and Game Theory written by Robert J. Aumann and published by American Mathematical Soc.. This book was released on 1999 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.

Game Theory and Applications

Author : Tatsuro Ichiishi
Publisher : Academic Press
ISBN 13 : 1483295052
Total Pages : 436 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Game Theory and Applications by : Tatsuro Ichiishi

Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. Explains many of the recent central developments in game theory Highlights new research directions in economic theory which surpass the neoclassical paradigm Includes game-theoretical analyses in economics, political science, and biology Written by leading game theorists, economists, political scientists, and biologists

Handbook of the Shapley Value

Author : Encarnación Algaba
Publisher : CRC Press
ISBN 13 : 1351241400
Total Pages : 607 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Handbook of the Shapley Value by : Encarnación Algaba

Download or read book Handbook of the Shapley Value written by Encarnación Algaba and published by CRC Press. This book was released on 2019-12-06 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Shapley Value contains 24 chapters and a foreword written by Alvin E. Roth, who was awarded the Nobel Memorial Prize in Economic Sciences jointly with Lloyd Shapley in 2012. The purpose of the book is to highlight a range of relevant insights into the Shapley value. Every chapter has been written to honor Lloyd Shapley, who introduced this fascinating value in 1953. The first chapter, by William Thomson, places the Shapley value in the broader context of the theory of cooperative games, and briefly introduces each of the individual contributions to the volume. This is followed by a further contribution from the editors of the volume, which serves to introduce the more significant features of the Shapley value. The rest of the chapters in the book deal with different theoretical or applied aspects inspired by this interesting value and have been contributed specifically for this volume by leading experts in the area of Game Theory. Chapters 3 through to 10 are more focused on theoretical aspects of the Shapley value, Chapters 11 to 15 are related to both theoretical and applied areas. Finally, from Chapter 16 to Chapter 24, more attention is paid to applications of the Shapley value to different problems encountered across a diverse range of fields. As expressed by William Thomson in the Introduction to the book, "The chapters contribute to the subject in several dimensions: Mathematical foundations; axiomatic foundations; computations; applications to special classes of games; power indices; applications to enriched classes of games; applications to concretely specified allocation problems: an ever-widening range, mapping allocation problems into games or implementation." Nowadays, the Shapley value continues to be as appealing as when it was first introduced in 1953, or perhaps even more so now that its potential is supported by the quantity and quality of the available results. This volume collects a large amount of work that definitively demonstrates that the Shapley value provides answers and solutions to a wide variety of problems.

The Shapley value

Author : Alvin E. Roth
Publisher : Cambridge University Press
ISBN 13 : 052136177X
Total Pages : 342 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis The Shapley value by : Alvin E. Roth

Download or read book The Shapley value written by Alvin E. Roth and published by Cambridge University Press. This book was released on 1988-10-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper.

Abstracts of the Fifth Spanish Meeting on Game Theory and Applications

Author : J. M. Bilbao
Publisher : Universidad de Sevilla
ISBN 13 : 9788447207336
Total Pages : 260 pages
Book Rating : 4.2/5 (73 download)

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Book Synopsis Abstracts of the Fifth Spanish Meeting on Game Theory and Applications by : J. M. Bilbao

Download or read book Abstracts of the Fifth Spanish Meeting on Game Theory and Applications written by J. M. Bilbao and published by Universidad de Sevilla. This book was released on 2002 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number of spanish game theorists has increased considerably in recent years. In 1994 it was decided to hold a spanish meeting on game heory every two years. The “Fifth Spanish Meeting on Game Theory and Applications” will take place in Seville on July 1-3, 2002. The 5th SMGT continues the series of the alternate Italian and Spanish conferences on Game Theroy.

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Author : D. Butnariu
Publisher : Springer Science & Business Media
ISBN 13 : 9401736022
Total Pages : 207 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Triangular Norm-Based Measures and Games with Fuzzy Coalitions by : D. Butnariu

Download or read book Triangular Norm-Based Measures and Games with Fuzzy Coalitions written by D. Butnariu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present, in a unified approach, a series of mathematical results con cerning triangular norm-based measures and a class of cooperative games with Juzzy coalitions. Our approach intends to emphasize that triangular norm-based measures are powerful tools in exploring the coalitional behaviour in 'such games. They not and simplify some technical aspects of the already classical axiomatic the only unify ory of Aumann-Shapley values, but also provide new perspectives and insights into these results. Moreover, this machinery allows us to obtain, in the game theoretical context, new and heuristically meaningful information, which has a significant impact on balancedness and equilibria analysis in a cooperative environment. From a formal point of view, triangular norm-based measures are valuations on subsets of a unit cube [0, 1]X which preserve dual binary operations induced by trian gular norms on the unit interval [0, 1]. Triangular norms (and their dual conorms) are algebraic operations on [0,1] which were suggested by MENGER [1942] and which proved to be useful in the theory of probabilistic metric spaces (see also [WALD 1943]). The idea of a triangular norm-based measure was implicitly used under various names: vector integrals [DVORETZKY, WALD & WOLFOWITZ 1951], prob abilities oj Juzzy events [ZADEH 1968], and measures on ideal sets [AUMANN & SHAPLEY 1974, p. 152].

Game Theory and Its Applications

Author : William F. Lucas
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867334
Total Pages : 138 pages
Book Rating : 4.8/5 (673 download)

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Book Synopsis Game Theory and Its Applications by : William F. Lucas

Download or read book Game Theory and Its Applications written by William F. Lucas and published by American Mathematical Soc.. This book was released on 1981-12-31 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Economics [4 volumes]

Author : David A. Dieterle
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0313397082
Total Pages : 2345 pages
Book Rating : 4.3/5 (133 download)

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Book Synopsis Economics [4 volumes] by : David A. Dieterle

Download or read book Economics [4 volumes] written by David A. Dieterle and published by Bloomsbury Publishing USA. This book was released on 2017-03-27 with total page 2345 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive four-volume resource that explains more than 800 topics within the foundations of economics, macroeconomics, microeconomics, and global economics, all presented in an easy-to-read format. As the global economy becomes increasingly complex, interconnected, and therefore relevant to each individual, in every country, it becomes more important to be economically literate—to gain an understanding of how things work beyond the microcosm of the economic needs of a single individual or family unit. This expansive reference set serves to establish basic economic literacy of students and researchers, providing more than 800 objective and factually driven entries on all the major themes and topics in economics. Written by leading scholars and practitioners, the set provides readers with a framework for understanding economics as mentioned and debated in the public forum and media. Each of the volumes includes coverage of important events throughout economic history, biographies of the major economists who have shaped the world of economics, and highlights of the legislative acts that have shaped the U.S. economy throughout history. The extensive explanations of major economic concepts combined with selected key historical primary source documents and a glossary will endow readers with a fuller comprehension of our economic world.