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Core Equivalence with Congested Public Goods

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  • Vasil'ev, Valery
  • Weber, Shlomo
  • Wiesmeth, Hans

Abstract

This paper examines a model of an infinite production economy with a finite number of types of agents and semi-public goods, which are subjected to crowding and exclusion. The utility of an agent depends not only on the vector of public commodities produced by the coalition to which she belongs, but also on the mass of agents of her type who are the members of this coalition. The main purpose of the paper is to derive necessary and sufficient conditions on the local degrees of congestion which would guarantee the equivalence between the core and the set of equal treatment Lindahl equilibria. We prove that this equivalence holds if and only if there are constant returns to group size for each type of agents. It implies that linearity of each agent's congestion function with respect to the mass of the agents of her own type is necessary of the core equivalence to hold.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 6 (1995)
Issue (Month): 3 (November)
Pages: 373-87

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Handle: RePEc:spr:joecth:v:6:y:1995:i:3:p:373-87

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Cited by:
  1. Maria Gabriella Graziano & Maria Romaniello, 2010. "Linear Cost Share Equilibria and the Veto Power of the Grand Coalition," CSEF Working Papers 248, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  2. Monique Florenzano & Elena Laureana Del Mercato, 2004. "Edgeworth and Lindahl-Foley equilibria of a general equilibrium model with private provision of pure public goods," Cahiers de la Maison des Sciences Economiques b04082, Université Panthéon-Sorbonne (Paris 1).
  3. Shitovitz, Benyamin & Weber, Shlomo, 1997. "The graph of Lindahl correspondence as the unique von Neumann-Morgenstern abstract stable set," Journal of Mathematical Economics, Elsevier, vol. 27(4), pages 375-387, May.
  4. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
  5. repec:hal:journl:halshs-00085726 is not listed on IDEAS
  6. Berliant, Marcus & Konishi, Hideo, 2000. "The endogenous formation of a city: population agglomeration and marketplaces in a location-specific production economy," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 289-324, May.
  7. Raa, T. ten & Gilles, R.P., 2003. "Lindahl Equilibrium and Schweitzer's Open Club Model Semi-Public Goods," Discussion Paper 2003-56, Tilburg University, Center for Economic Research.
  8. Raa, T. ten & Gilles, R.P., 2005. "Club efficiency and Lindahl equilibrium with semipublic goods," Open Access publications from Tilburg University urn:nbn:nl:ui:12-171957, Tilburg University.
  9. Marakulin, V.M., 2013. "On the Edgeworth conjecture for production economies with public goods: A contract-based approach," Journal of Mathematical Economics, Elsevier, vol. 49(3), pages 189-200.

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