Some topics on equilibria

Marchi, Ezio

doi:10.1090/S0002-9947-1976-0411665-3

Some topics on equilibria
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Trans. Amer. Math. Soc. 220 (1976), 87-102 Request permission

Abstract:

In the present paper we introduce a proof for the existence of equilibrium points of a certain nonbilinear problem by using the Knaster-Kuratowski-Mazurkiewicz theorem, which turns out to be somewhat efficient for studies related to n-person games. As an application of this result, by embedding an n-person game in the “cooperative” set of action the existence of an equilibrium point in the strict noncooperative case and more general cases is obtained.

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Fundamentals of non-cooperative games

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On balanced sets and cores

14

Über ein ökonomisches Gleichnungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes

8

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