THE SHAPLEY VALUE: THE SEMINAL WORK BY 2012 NOBEL LAUREATE IN ECONOMICS LLOYD S. SHAPLEY

(SHAPLEY, Lloyd; VON NEUMANN, John, et al.) KUHN, H.W.; TUCKER, A.W.; LUCE, R.D.; DRESHER, M.; WOLFE, P. (Editors). Contributions to the Theory of Games. Volumes I-IV. Princeton: Princeton University Press, 1950, 1953, 1957, 1959. Four volumes. Octavo, original printed orange paper wrappers. Housed in a custom clamshell box.

First editions of the complete run of this important Game Theory journal, with significant contributions from Lloyd Shapley, winner of the 2012 Nobel Prize in Economics, including his landmark 1953 paper “A Value for n-person Games.” Also with contributions by Von Neumann, Gale, Harsanyi and others who have been instrumental in shaping Game Theory since its inception.

Volume I contains: G.W. Brown & John Von Neumann, “Solutions of Games by Differential Equations” (pp. 73-79); John Nash & Lloyd Shapley’s important paper: “A Simple Three-person Poker Game” (105-16), and other papers by Hermann, Weyle, Gale, Dresher, Kuhn, McKinsey, et al.

Volume II contains: Lloyd Shapley’s “A Value for n-Person Games” (pp. 307-17): A “remarkable 1953 paper… There he proposed that it might be possible to evaluate, in a numerical way, the ‘value’ of playing a game. The particular function he derived for this purpose, which has come to be called the Shapley value, has been the focus of sustained interest among students of cooperative game theory ever since” (Alvin Roth, who shared the 2012 Nobel Prize with Shapley, Chapter 1: ‘Introduction to the Shapley Value,’ in Roth, The Shapley Value: Essays in Honor of Lloyd S. Shapley, Cambridge University Press, 1988). Also contains Von Neumann’s “A Certain Zero-Sum Two-Person Game Equivalent to the Optimal Assignment Problem” (pp. 5-12) and D.B. Gillies, J.P. Mayberry, & Von Neumann, “Two Variants of Poker” (pp. 13-50). The latter is the supplement to Von Neumann and Morgenstern’s Theory of Games and Economic Behavior promised in the footnote on p. 196 of the second edition.

Volume III contributors include Gale, Karlin, Kemeny, Oxtoby, Scarf, Shapley, et al.

Volume IV contributors include Nobel Laureates Harsanyi, Aumann, and Shapley, as well as Kalisch, Von Neumann (“On the Theory of Games of Strategy,” pp. 13-42), Shubik, et al. Shapley won the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel for 2012, commonly known as the Nobel Prize in Economics.

Spines darkened, minor edge-wear. Near-fine in original wrappers.