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Value allocation under ambiguity

Author

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  • Angelos Angelopoulos
  • Leonidas Koutsougeras

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Abstract

We consider a pure exchange economy with asymmetric information where individual behavior exhibits ambiguity aversion along the line of maximin expected utility decision making. For such economies, we introduce different notions of maximin value allocations. We also introduce a strong notion of incentive compatibility. We prove the existence and incentive compatibility of the maximin value allocation. We conclude that unlike the Bayesian value allocation approach in Krasa Yannelis (Econometrica 62(4):881–900, 1994 ), incentive compatibility is related to efficiency rather than to direct exchange of information. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Angelos Angelopoulos & Leonidas Koutsougeras, 2015. "Value allocation under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 147-167, May.
  • Handle: RePEc:spr:joecth:v:59:y:2015:i:1:p:147-167
    DOI: 10.1007/s00199-014-0812-4
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    References listed on IDEAS

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    1. Krasa, Stefan & Yannelis, Nicholas C., 1996. "Existence and properties of a value allocation for an economy with differential information," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 165-179.
    2. Beth Allen, 2006. "Market games with asymmetric information: the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 465-487, October.
    3. Thomas Jungbauer & Klaus Ritzberger, 2011. "Strategic games beyond expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 377-398, October.
    4. Scott Condie & Jayant Ganguli, 2011. "Informational efficiency with ambiguous information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 229-242, October.
    5. Balder, Erik J & Yannelis, Nicholas C, 1993. "On the Continuity of Expected Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 625-643, October.
    6. João Correia-da-Silva & Carlos Hervés-Beloso, 2012. "General equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 729-755, November.
    7. João Correia-da-Silva & Carlos Hervés-Beloso, 2009. "Prudent expectations equilibrium in economies with uncertain delivery," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 67-92, April.
    8. Marialaura Pesce & Peter Cramton & Nicholas C. Yannelis, 2010. "A new perspective to rational expectations: maximin rational expectations equilibrium," Discussion Papers 1528, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Koutsougeras, Leonidas C & Yannelis, Nicholas C, 1993. "Incentive Compatibility and Information Superiority of the Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 195-216, April.
    10. Wei He & Nicholas C. Yannelis, 2013. "Equilibrium Theory under Ambiguity," The School of Economics Discussion Paper Series 1307, Economics, The University of Manchester.
    11. Luciano Castro & Marialaura Pesce & Nicholas Yannelis, 2011. "Core and equilibria under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 519-548, October.
    12. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
    13. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    14. Alain Chateauneuf & Luciano De Castro, 2011. "Ambiguity Aversion and Absence of Trade," Discussion Papers 1535, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Luciano Castro & Alain Chateauneuf, 2011. "Ambiguity aversion and trade," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 243-273, October.
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    Citations

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    Cited by:

    1. Youcef Askoura, 2019. "An interim core for normal form games and exchange economies with incomplete information: a correction," Papers 1903.09867, arXiv.org.
    2. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    3. repec:kap:expeco:v:22:y:2019:i:1:d:10.1007_s10683-018-9582-3 is not listed on IDEAS
    4. Anuj Bhowmik, 2015. "Core and coalitional fairness: the case of information sharing rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 461-494, November.
    5. repec:eee:jetheo:v:169:y:2017:i:c:p:474-488 is not listed on IDEAS
    6. de Castro, Luciano I. & Liu, Zhiwei & Yannelis, Nicholas C., 2017. "Implementation under ambiguity," Games and Economic Behavior, Elsevier, vol. 101(C), pages 20-33.

    More about this item

    Keywords

    Asymmetric information; Maxmin value allocation; Incentive compatibility; Efficiency; D5; D81; D82; D86;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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