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- W1973467504 abstract "The description of the explicit form of particular vN-M stable sets for special classes of «-person cooperative games is interesting and important from the viewpoint of appliction as well as theory. All discriminatory vN-M stable sets for (n,k) games which were defined by Muto are characterized. The von Neumann-Morgenstern solution for «-person games usually characterizes many different stable sets for most games, von Neumann and Morgenstern state that, among the several stable sets, the ones which are accepted depend upon standards of behavior which are norms, rules or conventions imposed by society. In studying stable sets for «-person games, we can often see that one, or several, of the players always receives the same amount. Such players are said to be disci- minated players, and such stable sets are called discriminatory. This concept was introduced by von Neumann and Morgenstern (7, p. 290). It is of interest to examine games in which the social standard of discrimination is involved. The purpose of this paper is to characterize all discriminatory stable sets for any («,/.) game. 1. Basic defintiions and theorem. An n-person game is a pair (N,v), where N = {1,2,...,«} is a set of « players and v is a real-valued characteristic function on 2N with v( 0 ) = 0. Here l^denotes the set of all subsets of N and 0 is the empty" @default.
- W1973467504 created "2016-06-24" @default.
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- W1973467504 date "1986-04-01" @default.
- W1973467504 modified "2023-09-26" @default.
- W1973467504 title "Discriminatory stable sets for $(n,k)$ games" @default.
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- W1973467504 doi "https://doi.org/10.1090/s0002-9939-1986-0845991-2" @default.
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