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Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures

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Author Info
Rose-Anne Dana () (CEREMADE, Université Paris-Dauphine)
Cuong Le Van () (Centre d'Economie de la Sorbonne)
Abstract

The overlapping expectations and the collective absence of arbitrage conditions introduced in the economic literature to insure existence of Pareto optima and equilibria when short-selling is allowed and investors hold a single belief about future returns, is reconsidered. Investors use measures of risk. The overlapping sets of priors and the Pareto equilibrium conditions introduced by Heath and Ku for coherent risk measures are reinterpreted as a weak no-arbitrage and a weak collective absence of arbitrage conditions and shown to imply existence of Pareto optima and Arrow Debreu equilibria.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b07068.

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Length: 20 pages
Date of creation: Jul 2007
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Handle: RePEc:mse:cesdoc:b07068

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: Overlapping sets of priors; collective absence of arbitrage; equilibria with short-selling; risk sharing; measures of risk.;

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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