John Forbes Nash Jr. (1928-2015) and Lloyd Shapley (1923-2016).
‘A simple three-person poker game’, pp. 105-116. In: Contributions to the Theory of Games, Volume I. Annals of Mathematics Series, No. 24. Princeton: Princeton University Press, 1950.
First edition of Nash and Shapley’s important game theory analysis of a three-person poker game, signed by John Nash. ‘During a three-year period, from 1948 to 1951, Nash wrote a doctoral dissertation and four research papers that revolutionized game theory, the branch of mathematics dealing with the study of competition and cooperation. In the 1920s Hungarian mathematician John von Neumann had analysed two-person, zero-sum games in which two competing participants made choices that resulted in a payoff for one player and a penalty of equal magnitude for the other. Nash broadened the scope of game theory to include situations with more than two participants and the analysis of general strategies for games in which players can either cooperate or compete with one another. He introduced concepts, tools, and techniques that became fundamental components in the full development of game theory and that enabled game theory to be broadly applied to evolutionary biology, economic theory, and political strategies’ (Mathematics Frontiers, pp. 25-26).

Large octavo (253 x 177mm). Original orange paper wrappers (spine, upper and inner edges of wrappers sunned).

‘John F. Nash, Jr.’ (signature on title) – ‘W.M. Kincaid’ (signature inside front wrapper; Kincaid (1918-2015) was a professor of mathematics at the University of Michigan, Ann Arbor).

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