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




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.

Suggested Citation

  • Rose-Anne Dana & Cuong Le Van, 2007. "Overlapping sets of priors and the existence of efficient allocations and equilibria for risk measures," Documents de travail du Centre d'Economie de la Sorbonne b07068, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  • Handle: RePEc:mse:cesdoc:b07068

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    Cited by:

    1. Dana, R.A. & Le Van, C., 2010. "Overlapping risk adjusted sets of priors and the existence of efficient allocations and equilibria with short-selling," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2186-2202, November.
    2. Guillaume Carlier & Rose-Anne Dana, 2013. "Pareto optima and equilibria when preferences are incompletely known," Post-Print hal-00661903, HAL.
    3. Grechuk, Bogdan, 2015. "The center of a convex set and capital allocation," European Journal of Operational Research, Elsevier, vol. 243(2), pages 628-636.
    4. repec:ipg:wpaper:3 is not listed on IDEAS
    5. Stefano Bosi & Patrice Fontaine & Cuong Le Van, 2013. "Equilibrium existence in the international asset and good markets," Working Papers 16, Development and Policies Research Center (DEPOCEN), Vietnam.
    6. Dana, R.A. & Le Van, C., 2014. "Efficient allocations and equilibria with short-selling and incomplete preferences," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 101-105.
    7. G. Carlier & R.-A. Dana & R.-A. Dana, 2014. "Pareto optima and equilibria when preferences are incompletely known," Working Papers 2014-60, Department of Research, Ipag Business School.
    8. repec:ipg:wpaper:2013-003 is not listed on IDEAS
    9. repec:ipg:wpaper:2014-060 is not listed on IDEAS

    More about this item


    Overlapping sets of priors; collective absence of arbitrage; equilibria with short-selling; risk sharing; measures of risk.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - 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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