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Author : Rand Corporation
Publisher :
ISBN 13 :
Total Pages : 75 pages
Book Rating : 4.:/5 (632 download)
Download or read book Values of Non-Atomic Games, -Part 2 - the Random Order Approach written by Rand Corporation and published by . This book was released on 1968 with total page 75 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Aumann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (721 download)
Download or read book Values of Non-atomic Games: The random order approach written by Robert J. Aumann and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Aumann
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (227 download)
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 0 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.
Author : Robert J. Aumann
Publisher : Princeton University Press
ISBN 13 : 1400867088
Total Pages : 348 pages
Book Rating : 4.4/5 (8 download)
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.
Author : Lakshmi K. Raut
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book A Reformulation of the Aumann-Shapley Random Order Values of Non-Atomic Games Using Invariant Measures written by Lakshmi K. Raut and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the Aumann-Shapley random order approach to values of non-atomic games is reformulated by restricting the set of random orders and the symmetry group to any subgroup of automorphisms that admits an invariant probability measurable group structure. It is shown that with respect to the uncountably large invariant probability measurable group of Lebesgue measure preserving automorphisms that is constructed in Raut [1997], the random order value exists for most games in BV, and it coincides with the fully symmetric Aumann-Shapley axiomatic value on pNA( mu). Thus by restricting the set of admissible orders suitably, the paper provides a possibility result to the Aumann-Shapley Impossibility Principle.
Author : Lakshmi K. Raut
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book A Non-Standard Analysis of Aumann-Shapley Random Order Values of Non-Atomic Games written by Lakshmi K. Raut and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using techniques from the non-standard analysis, a non-standard analogue of the Aumann-Shapley random order value of non-atomic games is provided. The paper introduces the notion of effectively ergodic family of automorphism groups. It is shown that for a wide class of games, the non-standard random order value with respect to an effectively ergodic family of automorphism groups coincides with the standard Aumann-Shapley value.
Author : L. K. Raut
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (389 download)
Download or read book A Reformulation of Aumann-Shapley Random Order Values of Non-atomic Games Using Invariant Measures written by L. K. Raut and published by . This book was released on 1996 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.C Santos
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Mixing Weighted Values of Non-Atomic Games written by J.C Santos and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Weighted values of non-atomic games were introduced by Hart and Monderer (1997). They study these values by using two approaches: the potential approach and the asymptotic approach. In this study we develop the random order approach (the mixing value, Aumann and Shapley, 1974) to weighted values and prove that these values coincide with the asymptotic weighted values of Hart and Monderer in pNA.
Author : R.J. Aumann
Publisher :
ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.:/5 (634 download)
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:
Author : Robert J. Aumann
Publisher : American Mathematical Soc.
ISBN 13 : 9780821805251
Total Pages : 306 pages
Book Rating : 4.8/5 (52 download)
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.
Author : J.F. Mertens
Publisher : Springer Science & Business Media
ISBN 13 : 9401716560
Total Pages : 260 pages
Book Rating : 4.4/5 (17 download)
Download or read book Game-Theoretic Methods in General Equilibrium Analysis written by J.F. Mertens and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: JEAN-FRANQOIS MERTENS This book presents a systematic exposition of the use of game theoretic methods in general equilibrium analysis. Clearly the first such use was by Arrow and Debreu, with the "birth" of general equi librium theory itself, in using Nash's existence theorem (or a generalization) to prove the existence of a competitive equilibrium. But this use appeared possibly to be merely tech nical, borrowing some tools for proving a theorem. This book stresses the later contributions, were game theoretic concepts were used as such, to explain various aspects of the general equilibrium model. But clearly, each of those later approaches also provides per sea game theoretic proof of the existence of competitive equilibrium. Part A deals with the first such approach: the equality between the set of competitive equilibria of a perfectly competitive (i.e., every trader has negligible market power) economy and the core of the corresponding cooperative game.
Author : Rand Corporation
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.F/5 ( download)
Download or read book Memorandum written by Rand Corporation and published by . This book was released on 1970 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rand Corporation
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (632 download)
Download or read book Values of Non-Atomic Games, Part I - the Axiomatic Approach written by Rand Corporation and published by . This book was released on 1965 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 1120 pages
Book Rating : 4.:/5 (319 download)
Download or read book Government Reports Index written by and published by . This book was released on 1972 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert J. Aumann
Publisher : MIT Press
ISBN 13 : 9780262011556
Total Pages : 818 pages
Book Rating : 4.0/5 (115 download)
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.
Author : Lakshmi K. Raut
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (263 download)
Download or read book Construction of Harr Measure on Projective Limit Group and Random Order Values of Non-atomic Games written by Lakshmi K. Raut and published by . This book was released on 1993 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (243 download)
Download or read book Memorandum written by and published by . This book was released on 1961 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
