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The number of equilibria of smooth infinite economies
Affiliation:1. Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro, RJ 22460-320, Brazil;2. FGV/EPGE, Praia de Botafogo, 190, Rio de Janeiro, RJ 22250-900, Brazil;3. Ibmec, Av. Presidente Wilson, 118, Rio de Janeiro, RJ 20030-020, Brazil;1. University of Rochester, 231 Harkness Hall, Rochester, NY, 14627, USA;2. Université Paris-Dauphine, PSL Research University, CNRS, UMR [7243], LAMSADE, 75016, Paris, France;3. Fukuoka University, 8-19-1 Nanakuma, Jonan-ku, Fukuoka, 8140180, Japan
Abstract:We construct an index theorem for smooth infinite economies that shows that generically the number of equilibria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.
Keywords:Uniqueness  Infinite economy  Index theorem
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