The Purification Problem for Constrained Games with Incomplete Information - Couverture souple

 
9783540184294: The Purification Problem for Constrained Games with Incomplete Information

Synopsis

The approach presented in this book combines two aspects of generalizations of the noncooperative game as developed by Nash. First, players choose their acts dependent on certain information variables, and second there are constraints on the sets of decisions for players. After the derivation of a general (Nash)equilibrium existence theorem, some results from purification theory are used to prove the existence of an approximate equilibrium in pure strategies, that is in nonrandomized decision functions. For some types of payoff-functions and constraints, these games prove to have an (exact) equilibrium in pure strategies. The reason for considering constrained games with incomplete information is that, apart from their game-theoretic importance, they have rather widespread application. Market games with a continuum of traders as well as some statistical decision problems are covered with this approach.

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Autres éditions populaires du même titre

9780387184296: The Purification Problem for Constrained Games With Incomplete Information

Edition présentée

ISBN 10 :  0387184295 ISBN 13 :  9780387184296
Editeur : Springer Verlag, 1987
Couverture rigide