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

M. Ali Khan et al.

Economic Theory Bulletin2025https://doi.org/10.1007/s40505-025-00287-zarticle
ABDC B
Weight
0.48

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.

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https://doi.org/https://doi.org/10.1007/s40505-025-00287-z

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@article{m.2025,
  title        = {{Alternative proofs of the GNKD and KKMS lemmas: a game-theoretic underpinning}},
  author       = {M. Ali Khan et al.},
  journal      = {Economic Theory Bulletin},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1007/s40505-025-00287-z},
}

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

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Evidence weight

0.48

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.41 × 0.4 = 0.16
M · momentum0.63 × 0.15 = 0.09
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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