The Purification Problem for Constrained Games with Incomplete Information (eBook, PDF)
Helmut Meister
eBook, PDF

The Purification Problem for Constrained Games with Incomplete Information (eBook, PDF)

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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) eq...

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