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

M. Khan, Richard P. McLean () and Metin Uyanik
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Richard P. McLean: Rutgers University
Metin Uyanik: University of Queensland

Economic Theory Bulletin, 2025, vol. 13, issue 1, No 1, 20 pages

Abstract: 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.

Keywords: GNKD lemma; KKMS lemma; Qualitative game; Generalized game; 91B55; 37E05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s40505-025-00287-z

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