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Walrasian equilibrium: An alternate proof of existence and lattice structure

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  • Komal Malik

Abstract

We consider a model of two-sided matching market where buyers and sellers trade indivisible goods with the feature that each buyer has unit demand and seller has unit supply. The result of the existence of Walrasian equilibrium and lattice structure of equilibrium price vectors is known. We provide an alternate proof for existence and lattice structure using Tarksi's fixed point theorem.

Suggested Citation

  • Komal Malik, 2025. "Walrasian equilibrium: An alternate proof of existence and lattice structure," Papers 2503.03275, arXiv.org, revised Apr 2025.
    • Handle: RePEc:arx:papers:2503.03275
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    References listed on IDEAS

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    1. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
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