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

Author

Listed:
  • M. Ali Khan

    (Johns Hopkins University)

  • Richard P. McLean

    (Rutgers University)

  • Metin Uyanik

    (University of Queensland)

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.

Suggested Citation

  • M. Ali Khan & Richard P. McLean & Metin Uyanik, 2025. "Alternative proofs of the GNKD and KKMS lemmas: a game-theoretic underpinning," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(1), pages 1-20, April.
    • Handle: RePEc:spr:etbull:v:13:y:2025:i:1:d:10.1007_s40505-025-00287-z
    DOI: 10.1007/s40505-025-00287-z
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