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

Konrad Podczeck, Nicholas C. Yannelis

Publications: Contribution to journalArticlePeer Reviewed

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.

Original languageEnglish
Pages (from-to)413-420
Number of pages8
JournalEconomic Theory
Volume73
Issue number2-3
Early online dateOct 2021
DOIs
Publication statusPublished - Apr 2022

Austrian Fields of Science 2012

  • 502047 Economic theory

Keywords

  • continuous inclusion property
  • exchange economy
  • existence of Walrasian equilibrium
  • Continuous inclusion property
  • Exchange economy
  • Existence of Walrasian equilibrium
  • GAMES

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