The Number of Equilibria of Smooth Infinite Economies
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.
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Date of creation:  May 2011 
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Handle:  RePEc:bdm:wpaper:201102 
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 GIRAUD, Gaël, 2000.
"An algebraic index theorem for nonsmooth economies,"
CORE Discussion Papers
2000016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
 Gaël Giraud, 2001. "An Algebraic Index Theorem for Nonsmooth Economies," PostPrint hal00460314, HAL.
 repec:dau:papers:123456789/5638 is not listed on IDEAS
 Kehoe, Timothy J, 1980.
"An Index Theorem for General Equilibrium Models with Production,"
Econometrica,
Econometric Society, vol. 48(5), pages 121132, July.
 Timothy J. Kehoe, 1979. "An Index Theorem for General Equilibrium Models with Production," Cowles Foundation Discussion Papers 516, Cowles Foundation for Research in Economics, Yale University.
 Araujo, A., 1988. "The nonexistence of smooth demand in general banach spaces," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 309319, September.
 Balasko, Yves, 1997. "The natural projection approach to the infinitehorizon model," Journal of Mathematical Economics, Elsevier, vol. 27(3), pages 251263, April.
 Kehoe, Timothy J. & Levine, David K. & MasColell, Andreu & Zame, William R., 1989. "Determinacy of equilibrium in largescale economies," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 231262, June.
 Hervé Crès & Tobias Markeprand & Mich Tvede, 2009. "Incomplete Financial Markets and Jumps in Asset Prices," Discussion Papers 0912, University of Copenhagen. Department of Economics.
 Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795830 Elsevier.
 Covarrubias Enrique, 2010.
"Regular Infinite Economies,"
The B.E. Journal of Theoretical Economics,
De Gruyter, vol. 10(1), pages 121, July.
 Enrique Covarrubias, 2010. "Regular Infinite Economies," Working Papers 201003, Banco de México.
 Covarrubias, Enrique, 2008. "Determinacy of equilibria of smooth infinite economies," MPRA Paper 9437, University Library of Munich, Germany.
 Enrique Covarrubias, 2007. "Regular Infinite Economies," Levine's Working Paper Archive 843644000000000034, David K. Levine.
 Chris Shannon, 1996.
"Determinacy of Competitive Equilibria in Economies with Many Commodities,"
GE, Growth, Math methods
9610002, EconWPA.
 Chris Shannon., 1996. "Determinacy of Competitive Equilibria in Economies with Many Commodities," Economics Working Papers 96249, University of California at Berkeley.
 Mandel, Antoine, 2008.
"An index formula for production economies with externalities,"
Journal of Mathematical Economics,
Elsevier, vol. 44(12), pages 13851397, December.
 Antoine Mandel, 2008. "An index formula for production economies with externalities," Université Paris1 PanthéonSorbonne (PostPrint and Working Papers) halshs00634648, HAL.
 Antoine Mandel, 2007. "An index formula for production economies with externalities," Documents de travail du Centre d'Economie de la Sorbonne b07026, Université PanthéonSorbonne (Paris 1), Centre d'Economie de la Sorbonne.
 Antoine Mandel, 2007. "An Index Formula for Production Economies with Externalities," Université Paris1 PanthéonSorbonne (PostPrint and Working Papers) halshs00155775, HAL.
 Hens,Thorsten, 1991. "Structure of general equilibrium models with incomplete markets and a single consumption good," Discussion Paper Serie A 353, University of Bonn, Germany.
 Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1989.
"Determinacy of equilibria in dynamic models with finitely many consumers,"
Staff Report
118, Federal Reserve Bank of Minneapolis.
 Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 121, February.
 Timothy J. Kehoe & David K. Levine & Paul Romer, 1990. "Determinacy of Equilibrium in Dynamic Models with Finitely Many Consumers," Levine's Working Paper Archive 165, David K. Levine.
 Chris Shannon and William R. Zame., 1999.
"Quadratic Concavity and Determinacy of Equilibrium,"
Economics Working Papers
E99271, University of California at Berkeley.
 Chris Shannon & William R. Zame, 2002. "Quadratic Concavity and Determinacy of Equilibrium," Econometrica, Econometric Society, vol. 70(2), pages 631662, March.
 Chris Shannon & William R. Zame, 2000. "Quadratic Concavity and Determinacy of Equilibrium," GE, Growth, Math methods 9912001, EconWPA.
 Shannon, Chris & Zame, William R., 1999. "Quadratic Concavity and Determinacy of Equilibrium," Department of Economics, Working Paper Series qt3fv586x6, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
 Predtetchinski, Arkadi, 2006. "A new proof of the index formula for incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 42(45), pages 626635, August.
 Momi, Takeshi, 2003. "The index theorem for a GEI economy when the degree of incompleteness is even," Journal of Mathematical Economics, Elsevier, vol. 39(34), pages 273297, June.
 Timothy J. Kehoe & David K. Levine & Andreu MasColell & William Zame, 1989. "Determinacy of Equilibrium in Large Square Economies," Levine's Working Paper Archive 46, David K. Levine.
 HervésBeloso, Carlos & Monteiro, Paulo Klinger, 2009. "Existence, continuity and utility representation of strictly monotonic preferences on continuum of goods commodity spaces," MPRA Paper 15157, University Library of Munich, Germany.
 MasColell, Andreu, 1991. "Indeterminacy in Incomplete Market Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 4561, January.
 MasColell,Andreu, 1990.
"The Theory of General Economic Equilibrium,"
Cambridge Books,
Cambridge University Press, number 9780521388702, September.
 MasColell,Andreu, 1985. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521265140, September.
 MasColell, Andreu & Zame, William R., 1991. "Equilibrium theory in infinite dimensional spaces," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 34, pages 18351898 Elsevier.
 Chichilnisky, Graciela & Zhou, Yuqing, 1998. "Smooth infinite economies," Journal of Mathematical Economics, Elsevier, vol. 29(1), pages 2742, January.
 Dana, Rose Anne, 1993. "Existence and Uniqueness of Equilibria When Preferences Are Additively Separable," Econometrica, Econometric Society, vol. 61(4), pages 95357, July.
 Jouini, Elyes, 1992. "An index theorem for nonconvex production economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 176196.
 Kehoe, Timothy J, 1983. "Regularity and Index Theory for Economies with Smooth Production Technologies," Econometrica, Econometric Society, vol. 51(4), pages 895917, July.
 HervésBeloso, C. & Monteiro, P.K., 2010. "Strictly monotonic preferences on continuum of goods commodity spaces," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 725727, September.
 Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 95153, September.
 Anderson, Robert M. & Raimondo, Roberto C., 2007. "Incomplete markets with no Hart points," Theoretical Economics, Econometric Society, vol. 2(2), June.
 Balasko, Yves, 1975. "Some results on uniqueness and on stability of equilibrium in general equilibrium theory," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 95118.
 Kubler, Felix & Schmedders, Karl, 2000. "Computing Equilibria in Stochastic Finance Economies," Computational Economics, Springer;Society for Computational Economics, vol. 15(12), pages 14572, April.
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