The History Of Game Theory, Volume 1

The History Of Game Theory, Volume 1

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Game Theory - the formal modelling of conflict and cooperation - first emerged as a recognized field with a publication of John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behaviour in 1944. Since then, game-theoretic thinking about choice of strategies and the interdependence of people's actions has influenced all the social sciences. However, little is known about the history of the theory of strategic games prior to this publication. In this volume, the history of strategic games - from its origins up to 1945 - is traced through the work of: * 19th Century economists such as Cournot and Edgeworth * Voting theorists - including Lewis Carroll * Conflict theorists - Richardson and Lanchester * Probabilists such as Bertrand, Borel and Ville * Later economists - notably Stackelberg and Zeuthen This authoritative account of the history of game theory concludes with a historical perspective on the achievement of von Neumann and Morgenstern, and an appraisal of the reception of their book.dx/dt=ky-ax+g (6) dy/dt=lx-by+h (7) where a and bare positive constants representing resistance to armament costs, ... He found that the line cut the axis at 194, so that d(U+V)/dt=0 when U+V=Ap194 million per year (Richardson 1919, analysis without diagram; with diagram 1938, 793; ... the trade between these opposing pairs of nations was on the average 206 millions sterling, close to 194a#39; ( 1938, 793).

Title:The History Of Game Theory, Volume 1
Author: Mary-Ann Dimand, Robert W Dimand
Publisher:Routledge - 2002-09-11

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