Accession Number : AD0757667

Title :   Discriminatory Solutions for (n,n-2)-Games.

Descriptive Note : Technical rept.,

Corporate Author : CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Weber,Robert James

Report Date : MAR 1973

Pagination or Media Count : 19

Abstract : An (n,m)-game is an n-person game in which all coalitions with less than m players are not vital. A p-discriminatory solution to a game is a von Neumann-Morgenstern stable set solution in which some p players always receive fixed payoffs. In the paper, necessary and sufficient conditions are given for an arbitrary (n,n-2)-game to have a k-discriminatory solution. These conditions are used to characterize all 2-discriminatory solutions for 4-person games, and for the simple (n,n-2)-games in which all coalitions with at least n-2 players are winning coalitions. (Author)

Descriptors :   (*GAME THEORY, THEOREMS), INEQUALITIES, SET THEORY, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE