Values Of Non Atomic Games I
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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 | : R.J. Aumann |
| Publisher | : |
| Total Pages | : 157 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
| Author | : Paul A. Samuelson |
| Publisher | : John Wiley & Sons |
| Total Pages | : 456 |
| Release | : 2009-02-09 |
| Genre | : Business & Economics |
| ISBN | : 140517871X |
By focusing on the human side as well as the intellectualdimensions of how economists work and think, this collection ofinterviews with top economists of the 20th century becomes astartling and lively introduction to the modern world ofmacroeconomics. A fun read! For more information, frequent updates, and to comment on theforthcoming book, visit William A. Barnett's weblog athttp://economistmind.blogspot.com/. Acclaim for Inside the Economist's Mind "In candid interviews, these great economists prove to befabulous story tellers of their lives and times. Unendinglygripping for insiders, this book should also help non-specialistsunderstand how economists think." Professor Julio Rotemberg, Harvard University Business School,and Editor, Review of Economics and Statistics. "Economics used to be called the 'dismal science'. It will beimpossible for anybody to hold that view anymore ... This isscience with flesh and blood, and a lot of fascinating stories thatyou will find nowhere else." Dr. Jean-Pascal Bénassy, Paris-Jourdan SciencesÉconomiques, Paris, France "This book provides a rare and intriguing view of the personaland professional lives of leading economists ... It is like ABeautiful Mind, scaled by a factor of 16 [the number ofinterviews in the book]." Professor Lee Ohanian, University of California at LosAngeles " ... if you want an insider view of how economics has beendeveloping in the last decades, this is the (only) book foryou." Professor Giancarlo Gandolfo, University of Rome ‘LaSapienza,’ Rome "Here we see the HUMAN side of path-breaking research, thepersonalities and pitfalls, the DRAMA behind the science." Professor Francis X. Diebold, University of Pennsylvania,Philadelphia
| 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 | : Guillermo Owen |
| Publisher | : Emerald Group Publishing |
| Total Pages | : 463 |
| Release | : 2013-08-08 |
| Genre | : Mathematics |
| ISBN | : 1781905088 |
Game Theory has served as a standard text for game theory courses since the publication of the First Edition in 1968. The Fourth Edition updates several recently developed subfields.
| Author | : Michiel Hazewinkel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 555 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 9400959915 |
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.
| 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 | : M. Hazewinkel |
| Publisher | : Springer |
| Total Pages | : 932 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1489937919 |
| Author | : David A. Dieterle |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 2345 |
| Release | : 2017-03-27 |
| Genre | : Business & Economics |
| ISBN | : 0313397082 |
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.
| Author | : David A. Dieterle |
| Publisher | : Bloomsbury Publishing USA |
| Total Pages | : 591 |
| Release | : 2013-08-08 |
| Genre | : Biography & Autobiography |
| ISBN | : 0313397473 |
Who are the individuals whose novel ideas, writings, and philosophies have influenced economics throughout history—and in doing so, have helped change the world? This encyclopedia provides a readable study of economics by examining the great economists themselves. This book presents biographies of 200 economic thinkers throughout history, supplying a one-stop reference about the men and women whose ideas, writings, and philosophies created the foundation of our current understanding of economics. Depicting their subjects within the contexts of history, development economics, and econometrics, these biographies provide an insightful overview of the world of economics through the economists of significance and the many subdisciplines, topics, eras, and philosophies they represent. Economic Thinkers: A Biographical Encyclopedia begins by describing economic thinkers in ancient Greece and Rome, moves through history to cover economists in the 15th through 19th centuries, and addresses economic theory in the 20th century and the modern era. Written to be easily accessible and highly readable, the work will appeal to students, scholars, general readers, and anyone interested in learning about the historical and philosophical foundation of economics.
