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Titlebook: Introduction to the Theory of Games; J. Szép,F. Forgó Book 1985 Springer Science+Business Media Dordrecht 1985 bargaining.cooperative game

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楼主: 断头台
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Symmetric games,A general two-person zero-sum game .is called symmetric, if . and . for any . and .. Since the players’ strategy sets coincide we can denote the game simply by.where.is the players’ common strategy set. If, in addition, game.is finite—i.e. it is a matrix game—then it is symmetric if and only if its pay-off matrix . is skew-symmetric, i.e., ..
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Connection between matrix games and linear programming,Let us consider the following pair of linear programming problems (primal and dual) ..
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Two-person zero-sum games over metric spaces,For games defined on abstract spaces topological spaces provide the most general framework. Although metric spaces are less general, they can more easily be interpreted and in practical applications the generality offered by them is sufficient in most cases.
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Mathematics and its Applicationshttp://image.papertrans.cn/i/image/474414.jpg
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Methods for solving general matrix games,ilibrium strategies of a matrix game. Since for matrices of considerable size this approach is highly inefficient methods that are not supposed to go over all basic solutions of an inequality system are favoured from a computational point of view. Out of these we are going to deal with three basically different approaches
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Some special classes of games on the unit square,e we only dwell upon those structural properties — mostly without proofs —that have some bearing on methods designed to solve them. To illustrate the general scope of these games we describe a few examples relating to conflict situations coming from different fields.
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Approximate solution of two-person zero-sum games played over the unit square,special cases, of which we mentioned a few in the previous chapter, we have to make recourse to approximative methods. As a first step it seems acceptable to seek for “only” an “e optimal” pair of strategies and an “approximate value” of the game Γ = X, Y, K played over the unit square.
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978-94-010-8796-4Springer Science+Business Media Dordrecht 1985
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