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Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces

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Author Info
Carlos Hervés-Beloso ()
Emma Moreno-García ()
Nicholas Yannelis ()

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Abstract

We consider a differential information economy with infinitely many commodities and analyze the veto power of the grand coalition with respect the ability of blocking non-Walrasian expectations equilibrium allocations. We provide two different Walrasian expectations equilibrium equivalence results. First by perturbing the initial endowments in a precise direction we show that an allocation is a Walrasian expectations equilibrium if and only if it is not “privately dominated” by the grand coalition. The second characterization deals with the fuzzy veto in the sense of Aubin but within a differential information setting. This second equivalence result provides a different characterization for the Walrasian expectations equilibrium and shows that the grand coalition privately blocks in the sense of Aubin any non Walrasian expectations equilibrium allocation with endowment participation rate arbitrarily close to the total initial endowment participation for every individual. Finally, we show that any no free disposal Walrasian expectations equilibria is coalitional Bayesian incentive compatible. Since the deterministic Arrow-Debreu-McKenzie model is a special case of the differential information economy model, one derives new characterizations of the Walrasian equilibria in economies with infinitely many commodities. Copyright Springer-Verlag Berlin/Heidelberg 2005

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Article provided by Springer in its journal Economic Theory.

Volume (Year): 26 (2005)
Issue (Month): 2 (08)
Pages: 361-381
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Handle: RePEc:spr:joecth:v:26:y:2005:i:2:p:361-381

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Related research
Keywords: Differential information economy; Walrasian expectations equilibrium; Radner equilibrium; Privately non-dominated allocations; Private core; Aubin private core; Coalitional Bayesian incentive compatibility.;

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  1. Carlos Hervés-Beloso & V. Martins-da-Rocha & Paulo Monteiro, 2009. "Equilibrium theory with asymmetric information and infinitely many states," Economic Theory, Springer, vol. 38(2), pages 295-320, February. [Downloadable!] (restricted)
    Other versions:
  2. Wassim Daher & V. Martins-da-Rocha & Yiannis Vailakis, 2007. "Asset market equilibrium with short-selling and differential information," Economic Theory, Springer, vol. 32(3), pages 425-446, September. [Downloadable!] (restricted)
    Other versions:
  3. Martins-da-Rocha, V. F. & Angeloni, Laura, 2008. "Large economies with differential information but without free disposal," Economics Working Papers (Ensaios Economicos da EPGE) 671, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
  4. Giovanna Bimonte & Maria Graziano, 2009. "The measure of blocking coalitions in differential information economies," Economic Theory, Springer, vol. 38(2), pages 331-350, February. [Downloadable!] (restricted)
  5. Wassin Daher & V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2005. "Asset market equilibrium with short-selling and differential information," Cahiers de la Maison des Sciences Economiques b05098, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  6. Laura Angeloni & V. Martins-da-Rocha, 2009. "Large economies with differential information and without free disposal," Economic Theory, Springer, vol. 38(2), pages 263-286, February. [Downloadable!] (restricted)
  7. Guadalupe Fugarolas-Alvarez-Ude & Carlos Hervés-Beloso & Emma Moreno-García & Juan Torres-Martínez, 2009. "A market game approach to differential information economies," Economic Theory, Springer, vol. 38(2), pages 321-330, February. [Downloadable!] (restricted)
    Other versions:
  8. Angeloni, Laura & Martins-da-Rocha, V. F., 2007. "Contract enforcement and incentive compatibility in large economies with differential information: the role of exact feasibility," Economics Working Papers (Ensaios Economicos da EPGE) 647, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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