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The Veto Mechanism in Atomic Differential Information Economies

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We establish new characterizations of Walrasian expectations equilibria based on the veto mechanism in the framework of differential information economies with a finite number of states of nature and a measure space of agents that may have atoms. We show that it is enough to consider the veto power of a single coalition, consisting of the entire set of agents, to obtain the Aubin private core. Moreover, we investigate on the veto power of arbitrary small and big coalitions, providing an extension to mixed markets of the well known Schmeidler [20] and Vind’s [22] results in terms of Aubin private core allocations.

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  • Maria Laura Pesce, 2013. "The Veto Mechanism in Atomic Differential Information Economies," CSEF Working Papers 331, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  • Handle: RePEc:sef:csefwp:331
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    1. Greenberg, Joseph & Shitovitz, Benyamin, 1986. "A simple proof of the equivalence theorem for oligopolistic mixed markets," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 79-83, April.
    2. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    3. 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.
    4. Marialaura Pesce, 2010. "On mixed markets with asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 23-53, October.
    5. Noguchi, Mitsunori, 2000. "A fuzzy core equivalence theorem," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 143-158, August.
    6. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    7. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    8. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-816, July.
    9. Husseinov, Farhad, 1994. "Interpretation of Aubin's fuzzy coalitions and their extension : Relaxation of finite exchange economics," Journal of Mathematical Economics, Elsevier, vol. 23(5), pages 499-516, September.
    10. Carlos Hervés-Beloso & Emma Moreno-García & Nicholas Yannelis, 2005. "Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 361-381, August.
    11. Hervés-Beloso, Carlos & Moreno-Garci­a, Emma, 2008. "Competitive equilibria and the grand coalition," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 697-706, July.
    12. De Simone, Anna & Graziano, Maria Gabriella, 2003. "Cone conditions in oligopolistic market models," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 53-73, February.
    13. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    14. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
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    Cited by:

    1. Achille Basile & Maria Gabriella Graziano & Ciro Tarantino, 2016. "Coalitional Fairness with Participation Rates," CSEF Working Papers 442, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    2. Bhowmik, Anuj & Graziano, Maria Gabriella, 2015. "On Vind’s theorem for an economy with atoms and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 26-36.
    3. 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.

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