Values Of Non Atomic Games
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| Author | : Robert J. Aumann |
| Publisher | : Princeton University Press |
| Total Pages | : 348 |
| Release | : 2015-03-08 |
| Genre | : Mathematics |
| ISBN | : 1400867088 |
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 | : Robert J. Aumann |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1969 |
| Genre | : Game theory |
| ISBN | : |
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 | : R.J. Aumann |
| Publisher | : |
| Total Pages | : 157 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 620 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 9781556080050 |
V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
| Author | : M. Hazewinkel |
| Publisher | : Springer |
| Total Pages | : 932 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1489937919 |
| Author | : Robert J. Aumann |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 306 |
| Release | : 1999 |
| Genre | : Business & Economics |
| ISBN | : 9780821805251 |
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 | : Tatsuro Ichiishi |
| Publisher | : Academic Press |
| Total Pages | : 449 |
| Release | : 2014-06-28 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1483295052 |
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
| Author | : Robert J. Aumann |
| Publisher | : MIT Press |
| Total Pages | : 818 |
| Release | : 2000 |
| Genre | : Business & Economics |
| ISBN | : 9780262011556 |
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 | : J. M. Bilbao |
| Publisher | : Universidad de Sevilla |
| Total Pages | : 260 |
| Release | : 2002 |
| Genre | : Social Science |
| ISBN | : 9788447207336 |
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.
| Author | : Timothy Douglas Watson |
| Publisher | : |
| Total Pages | : 128 |
| Release | : 1994 |
| Genre | : Banach spaces |
| ISBN | : |
