Technical Note Alternative Theorem: Equilibrium in Abstract Economies

Rabia Nessah
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Rabia Nessah: IESEG School of Management, 3 rue de la Digue, 59000 Lille, France2LEM-CNRS 9221, 3 rue de la Digue, 59000 Lille, France

International Game Theory Review (IGTR), 2020, vol. 22, issue 04, 1-12

Abstract: We prove a new theorem for the existence of equilibrium in discontinuous games in which the players’ preferences are neither complete nor transitive. Our result is an alternative version of Shafer and Sonnenschein ([1975] J. Math. Econ. 2, 345–348), He and Yannelis ([2016] Econ. Theory 61, 497–513), Reny ([2016] Econ. Theory Bull.) and Carmona and Prodczeck ([2016] Econ. Theory 61, 457–478).

Keywords: Discontinuous game; â„’-minorized condition; abstract economy; equilibrium point (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219198920710012

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