Work

Equilibrium Points of Nonatomic Games Over a Banach Space

Year: 1986

Type: article

Abstract: Schmeidler’s results on the equilibrium points of nonatomic games with strategy sets in Euclidean $n$-space are generalized to nonatomic games with strategy sets in a Banach space. Our results also extend previous work of the author which assumed the Banach space to be separable and its dual to possess the Radon-Nikodým property. Our proofs use recent results in functional analysis.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-1986-0816322-3

Author: M. Ali Khan

Institutions: Johns Hopkins University, University of Illinois Urbana-Champaign, Cornell University

Language: English

Topic: Game Theory and Applications

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: bronze

OpenAlex ID: W1986158486

FWCI: 4.084

Cites: 26

Cited by: 52

Related to: 10