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No arbitrage condition and existence of equilibrium in infinite or finite dimension with expected risk averse utilities

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Author Info
Thai Ha Huy () (University Paris 1, CNRS CES, Paris, France)
Cuong Le Van () (PSE, University Paris 1, CNRS CES, Paris, France)
Manh Hung Nguyen () (Toulouse School of Economics, LERNA-INRA)

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Abstract

We consider a general equilibrium model in asset markets with a countable set of states and expected risk averse utilities. The agents do not have the same beliefs. We use the methods in Le Van - Truong Xuan (JME, 2001) but one of their assumption which is crucial for obtaining their result cannot be accepted in our model when the number of states is countable. We give a proof of existence of equilibrium when the number of states is inï¬nite or ï¬nite.

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Publisher Info
Paper provided by Development and Policies Research Center (DEPOCEN), Vietnam in its series Working Papers with number 20.

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Length: 20 pages
Date of creation: Jul 2008
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Handle: RePEc:dpc:wpaper:2008

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Related research
Keywords: No-arbitrage Conditions; the two-period wealth model; No Unbouded Arbitrage; Weak No Market Arbitrage;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
G1 - Financial Economics - - General Financial Markets

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Page Jr., Frank H. & Wooders, Myrna Holtz, 1996. "A necessary and sufficient condition for the compactness of individually rational and feasible outcomes and the existence of an equilibrium," Economics Letters, Elsevier, vol. 52(2), pages 153-162, August. [Downloadable!] (restricted)
  2. PageJr., Frank H. & Wooders, Myrna H. & Monteiro, Paulo K., 2000. "Inconsequential arbitrage," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 439-469, December. [Downloadable!] (restricted)
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  3. Allouch, Nizar & Le Van, Cuong & Page, Jr. Frank H., 2001. "The geometry of arbitrage and the existence of competitive equilibrium," The Warwick Economics Research Paper Series (TWERPS) 598, University of Warwick, Department of Economics. [Downloadable!]
    Other versions:
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