Work

Alternative proofs of the GNKD and KKMS lemmas: a game-theoretic underpinning

Year: 2025

Type: article

Abstract: In this paper, we provide alternative proofs of fundamental results of Walrasian general equilibrium theory, and of cooperative game theory, by viewing them as results pertaining to a two-person qualitative or a one-person generalized game: in short, by giving them a game-theoretic underpinning. Under the first category, we have the Gale–Nikaido–Kuhn–Debreu (GNKD) lemma in mind, and under the second, the Knaster–Kuratowski–Mazurkiewicz–Shapley (KKMS) lemma.

Source: Economic Theory Bulletin

DOI: 10.1007/s40505-025-00287-z

Authors: M. Ali Khan, Richard P. McLean, Metin Uyanik

Institutions: Johns Hopkins University, Rutgers, The State University of New Jersey, The University of Queensland

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4407873223

FWCI: 5.652

Cites: 83

Cited by: 6

Related to: 10