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Finitely Additive Nonatomic Coalition Production Economies: Core-Walras Equivalence

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  • Basile, Achille

Abstract

The concept of coalition production economy is naturally extended to the finitely additive setting. Let (V, F, v) be the (nonatomic finitely additive probability) space of economic agents. It is proved that a production set correspondence admits plenty of finitely additive selections provided it is finitely additive, closed valued and v-absolutely continuous. As a consequence, a Core-Walras equivalence theorem is established. Copyright 1993 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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  • Basile, Achille, 1993. "Finitely Additive Nonatomic Coalition Production Economies: Core-Walras Equivalence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(4), pages 983-994, November.
    • Handle: RePEc:ier:iecrev:v:34:y:1993:i:4:p:983-94
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    Cited by:

    1. Basile, Achille & Donnini, Chiara & Graziano, Maria Gabriella, 2009. "Core and equilibria in coalitional asymmetric information economies," Journal of Mathematical Economics, Elsevier, vol. 45(3-4), pages 293-307, March.
    2. Achille Basile & Chiara Donnini & Maria Graziano, 2010. "Economies with informational asymmetries and limited vetoer coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 147-180, October.
    3. Robert P. Gilles, 2018. "The Core of an Economy with an Endogenous Social Division of Labour," Papers 1809.01470, arXiv.org.
    4. Basile, Achille & Graziano, Maria Gabriella, 2001. "On the edgeworth's conjecture in finitely additive economies with restricted coalitions," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 219-240, December.
    5. Urbinati, Niccolò, 2018. "A convexity result for the range of vector measures with applications to large economies," MPRA Paper 87185, University Library of Munich, Germany.
    6. Bhowmik, Anuj & Centrone, Francesca & Martellotti, Anna, 2019. "Coalitional extreme desirability in finitely additive economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 83-93.
    7. Avallone, Anna & Basile, Achille, 1998. "Liapunov-Richter theorem in B-convex spaces," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 109-118, August.
    8. Chiara Donnini, 2013. "On a notion ? la Gabszewicz of fairness in coalitional economies," STUDI ECONOMICI, FrancoAngeli Editore, vol. 2013(110), pages 35-55.
    9. Jiuqiang Liu & Huihui Zhang, 2016. "Coincidence of the Mas-Colell bargaining set and the set of competitive equilibria in a continuum coalition production economy," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1095-1109, November.
    10. Anna Martellotti, 2007. "Core equivalence theorem: countably many types of agents and commodities in $\vec{L}^{1}(\mu)$," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 30(1), pages 51-70, May.

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