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Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences, without free disposal, and without compact consumption sets
Journal article   Open access   Peer reviewed

Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences, without free disposal, and without compact consumption sets

Konrad Podczeck and Nicholas C. Yannelis
Economic theory, Vol.73(2-3), pp.413-420
04/01/2022
DOI: 10.1007/s00199-021-01400-6
url
https://doi.org/10.1007/s00199-021-01400-6View
Published (Version of record) Open Access

Abstract

We extend a result on existence of Walrasian equilibria in He and Yannelis (Econ Theory 61:497-513, 2016) by replacing the compactness assumption on consumption sets made there by the standard assumption that these sets are closed and bounded from below. This provides a positive answer to a question explicitly raised in He and Yannelis (Econ Theory 61:497-513, 2016). Our new equilibrium existence theorem generalizes many results in the literature as we do not require any transitivity or completeness or continuity assumption on preferences, initial endowments need not be in the interior of the consumption sets, preferences may be interdependent and price-dependent, and no monotonicity or local non satiation is needed for any of the agents.
Business & Economics Economics Social Sciences

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