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Cooperative Games, Solutions and Applications (Hardcover, 1988 ed.)
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Cooperative Games, Solutions and Applications (Hardcover, 1988 ed.)
Series: Theory and Decision Library C, 3
Expected to ship within 10 - 15 working days
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The study of the theory of games was started in Von Neumann (1928),
but the development of the theory of games was accelerated after
the publication of the classical book "Theory of games and economic
behavior" by Von Neumann and Morgenstern (1944). As an initial
step, the theory of games aims to put situations of conflict and
cooperation into mathematical models. In the second and final step,
the resulting models are analysed on the basis of equitable and
mathematical reasonings. The conflict and/or cooperative situation
in question is generally due to the interaction between two or more
individuals (players). Their interaction may lead up to several
potential payoffs over which each player has his own preferences.
Any player attempts to achieve his largest possible payoff, but the
other players may also exert their influence on the realization of
some potential payoff. As already mentioned, the theory of games
consists of two parts, a modelling part and a solution part.
Concerning the modelling part, the mathematical models of conflict
and cooperative situations are described. The description of the
models includes the rules, the strategy space of any player,
potential payoffs to the players, the preferences of each player
over the set of all potential payoffs, etc. According to the rules,
it is either permitted or forbidden that the players communicate
with one another in order to make binding agreements regarding
their mutual actions.
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