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Edgeworth and Lindahl-Foley equilibria of a general equilibrium model with private provision of pure public goods

  • Monique Florenzano

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS)

  • Elena L. Del Mercato

    ()

    (DIMAD - Dipartimento di Scienze Economiche e Statistiche - Università degli studi di Salerno)

In this paper, we propose a definition of Edgeworth equilibrium for a private ownership production economy with (possibly infinitely) many private goods and a finite number of pure public goods. We show that Edgeworth equilibria exist whatever be the dimension of the private goods space, and can be decentralized, in the finite and infinite dimensional cases, as Lindahl-Foley equilibria. Existence theorems for Lindahl-Foley equilibria are a by-product of our results.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00085726.

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Date of creation: Dec 2006
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Handle: RePEc:hal:cesptp:halshs-00085726
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00085726
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  1. Nizar Allouch, 2000. "Edgeworth and Walras Equilibria of an Arbitrage-Free Exchange Economy," Econometric Society World Congress 2000 Contributed Papers 1901, Econometric Society.
  2. repec:ltr:wpaper:1997.03 is not listed on IDEAS
  3. Villanacci, Antonio & Zenginobuz, E.Unal, 2005. "Existence and regularity of equilibria in a general equilibrium model with private provision of a public good," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 617-636, August.
  4. Weber, Shlomo & Wiesmeth, Hans, 1991. "The equivalence of core and cost share equilibria in an economy with a public good," Journal of Economic Theory, Elsevier, vol. 54(1), pages 180-197, June.
  5. De Simone, Anna & Graziano, Maria Gabriella, 2004. "The pure theory of public goods: the case of many commodities," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 847-868, November.
  6. Valery Vasil'ev & Shlomo Weber & Hans Wiesmeth, 1991. "The Equivalence of Core and Lindahl Equilibria in an Economy with Semi-Public Goods," Discussion Paper Serie B 200, University of Bonn, Germany.
  7. Conley John P., 1994. "Convergence Theorems on the Core of a Public Goods Economy: Sufficient Conditions," Journal of Economic Theory, Elsevier, vol. 62(1), pages 161-185, February.
  8. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
  9. Vasil'ev, Valery & Weber, Shlomo & Wiesmeth, Hans, 1995. "Core Equivalence with Congested Public Goods," Economic Theory, Springer, vol. 6(3), pages 373-87, November.
  10. Aliprantis, Charalambos D. & Brown, Donald J. & Burkinshaw, Owen, 1987. "Edgeworth equilibria in production economies," Journal of Economic Theory, Elsevier, vol. 43(2), pages 252-291, December.
  11. Dimitrios Diamantaras & Robert P. Gilles, 1994. "The Pure Theory of Public Goods: Efficiency, Decentralization, and the Core," Public Economics 9403001, EconWPA.
  12. Jeffrey R. Brown, 2014. "Introduction," Tax Policy and the Economy, University of Chicago Press, vol. 28(1), pages xiii - xvi.
  13. Rabee Tourky, 1999. "The limit theorem on the core of a production economy in vector lattices with unordered preferences," Economic Theory, Springer, vol. 14(1), pages 219-226.
  14. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
  15. Antonio Villanacci & Unal Zenginobuz, 2001. "Private Provision of a Public Good in a General Equilibrium Model," Working Papers 2001/05, Bogazici University, Department of Economics.
  16. D. K. Foley, 1967. "Lindahl's Solution and the Core of an Economy with Public Goods," Working papers 3, Massachusetts Institute of Technology (MIT), Department of Economics.
  17. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
  18. Florenzano Monique, 1988. "Edgeworth equilibria, fuzzy core and equilibria of a production economy without ordered preferences," CEPREMAP Working Papers (Couverture Orange) 8822, CEPREMAP.
  19. Mas-Colell, Andreu, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 94(4), pages 625-41, June.
  20. Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
  21. Mas-Colell, Andreu & Richard, Scott F., 1991. "A new approach to the existence of equilibria in vector lattices," Journal of Economic Theory, Elsevier, vol. 53(1), pages 1-11, February.
  22. Tourky, Rabee, 1998. "A New Approach to the Limit Theorem on the Core of an Economy in Vector Lattices," Journal of Economic Theory, Elsevier, vol. 78(2), pages 321-328, February.
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