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Dimand, R. , and Dimand, M. A. (1996), “From games of pure chance to strategic © 1995 Éditions Dalloz English edition: editorial matter and selection © 2002 Christian Schmidt; individual chapters © the contributors games: French probabilists and early game theory,” C. ) Uncertainty in Economic Thought. Cheltenham: Edward Elgar, 157–68. Dines, L. L. (1947), “On a theorem of Von Neumann,” Proceedings of the National Academy of Sciences, USA 33: 329–31. Dore, M. H. , and Goodwin, R. , eds (1989), John Von Neumann and Modern Economics.
In conclusion, the option retained by TGEB permits us to occult the distinction between cooperative and non-cooperative games. The case is not at all the same in the other option where, in the case of the two-person game, one is obliged to make the distinction between the cases where players cooperate and those in which they do not. The approach followed in TGEB leads to the following three categories of games: © 1995 Éditions Dalloz English edition: editorial matter and selection © 2002 Christian Schmidt; individual chapters © the contributors • • • Category 1: The zero-sum two-person game Category 2: The zero-sum n > 2-person games6 Category 3: The non-zero-sum n-person games These three categories are not homogenous.
Indeed on the one hand, the class of the non-cooperative games is the interpretive domain par excellence for the equilibrium point elaborated previously in order to solve the speculative facet of the Nash problem (see Nash 1950a). On the other hand, the class of non-cooperative games suggests an outlet to investigate the other facet of the question, namely the bargaining problem.