商品簡介
In 1950, when he was 22 years old, Nash presented his key idea—the Nash equilibrium—in the Ph.D. thesis he submitted to the Mathematics Department at Princeton University. In that paper, he defined a new concept of equilibrium and used methods from topology to prove the existence of an equilibrium point for n-person, finite, non-cooperative games, that its, for games in which the number of possible strategies are limited, no communication is allowed between the players, and n represents the number of players. The Nash equilibrium point is reached when none of the players can improve their position by changing strategies. By taking into account situations involving more than two players, specifically the general n-player game, Nash built significantly on the previous work of John Von Neumann and Oskar Morgenstern.
Contributors. Abbas Bahri, Eric A. Carlen, Ennio De Giorgi, Charles Fefferman, Srihari Govidan, John C. Harsanyi, H. Hoffer, Carlos E. Kenig, S. Klainerman, Harold F. Kuhn, Michael Loss, William F. Lucas, M. Machedon, Roger B. Myerson, Raghavan Narasimhan, John F. Nash Jr., Louis Nirenberg, Jill Pipher, Zeev Rudnick, Peter Sarnak, Michael Shub, Steve Smale, Robert Wilson, K. Wysocki, E. Zehnder
作者簡介
John F. Nash Jr. is Visiting Research Collaborator in the Mathematics Department at Princeton University.
Louis Nirenberg is Professor of Mathematics at Courant Institute of Mathematical Sciences.
Peter Sarnak is Professor of Mathematics at Princeton University.
Morris Weisfeld is Professor of Mathematics at Duke University and editor of Duke Mathematical Journal.
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