Summary
In a model of an economy with multiple public goods and differentiated crowding, it is shown that asymptotically the core has the equal treatment property and coincides with the equilibrium outcomes. It follows that all individuals of the same type in the same jurisdiction must pay the same Lindahl taxes and, with strict convexity of preferences, the same Lindahl prices. With only one private good, for sufficiently large economies we show (a) the equivalence of the core and the set of equilibrium outcomes and (b) the nonemptiness of approximate cores and their equivalence to the set of approximate equilibrium outcomes.
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Barham, V., Wooders, M. H.: First and second welfare theorems for economies with collective goods. In: Topics in Public Finance, D. Pines, E. Sadka, and Y. Zilcha (eds.) (1997)
Berglas, E.: Distribution of tastes and skills and the provision of local public goods. Journal of Public Economics6, 409–423 (1976)
Conley, J.: Convergence theorems on the core of a public goods economy: sufficient conditions. Journal of Economic Theory62, 161–185 (1994)
Conley, J., Wooders, M. H.: Anonymous pricing in tiebout economies and economies with clubs. In: Topics in Public Finance, D. Pines, E. Sadka, and Y. Zilcha (eds.) (1997)
Debreu, G., Scarf, H.: A limit theorem on the core of an economy. International Economic Review4, 235–246 (1963)
Ellickson, B.: A generalization of the pure theory of public goods.American Economic Review,63, 417–432.
Foley, D.: Lindahl's solution and the core of an economy with public goods. Econometrica38, 66–72 (1970)
Kaneko, M.: Housing markets with indivisibilities. Journal of Urban Economics13, 22–50 (1983)
Kaneko, M., Wooders, M. H.: Cores of partitioning games. Mathematical Social Sciences3, 313–327 (1982)
Manning, J.: Local public goods: first best allocations and supporting prices. Department of Economics, University of Rochester Discussion Paper, 1992
Mas-Colell, A.: A model of equilibrium with differentiated commodities. Journal of Mathematical Economics2, 263–295 (1975)
Mas-Colell, A., Silvestre, J.: Cost share equilibria: a Lindahlian approach. Journal of Economic Theory47, 239–256 (1989)
Roberts, D. J.: A note on returns to group size and the core with public goods. Journal of Economic Theory9, 350–356 (1974)
Scotchmer, S.: Public goods and the invisible hand. In: J. M. Quigley and E. Smolensky (eds.) Modern Public Finance. Harvard University Press, Cambridge, Massachusetts, and London, England, pp. 93–125, 1994
Scotchmer, S., Wooders, M. H.: Optimal and equilibrium groups. Harvard Discussion Paper No 1251 (and subsequent, incomplete revisions under the title of “Competitive Equilibrium and The Core in Club Economies with Nonanonymous Crowding”), 1986
Shubik, M., Wooders, M. H.: Approximate cores of replica games and economies. Part I: Replica games, externalities, and approximate cores. Mathematical Social Sciences6, 27–48 (1983)
Vasil'ev, V., Weber, S., Wiesmeth, H.: The equivalence of core and Lindahl equilibria in an economy with semi-public goods. Manuscripts, 1992
Weber, S., Wiesmeth, H.: The equivalence of the core and cost share equilibria in an economy with a public good. Journal of Economic Theory18, 328–348 (1991)
Wooders, M. H.: Equilibria, the core, and jurisdiction structures in economies with a local public good. Journal of Economic Theory18, 328–348 (1978)
Wooders, M. H.: The tiebout hypothesis: near optimality in local public good economies. Econometrica48, 1467–1486 (1980)
Wooders, M. H.: A limit theorem on the ɛ-core of an economy with public goods. National Tax Institute of Japan Discussion Paper, 1981
Wooders, M. H.: The epsilon core of a large replica game. Journal of Mathematical Economics11, 277–300 (1983)
Wooders, M. H.: Stability of jurisdiction structure in economies with local public goods. Mathematical Social Sciences15, 29–49 (1988)
Wooders, M. H.: A tiebout theorem. Mathematical Social Sciences18, 33–55 (1989)
Wooders, M. H.: Convergence of the core to competitive outcomes in economies with public goods. University of Toronto Department of Economics Discussion Paper 9301, 1993
Wooders, M. H.: Large games and economies with effective small groups. In: J-F. Mertens and S. Sorin (eds.) Game theoretic approaches to general equilibrium theory. Kluwer Academic Publishers: Amsterdam 1994
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The author is indebted to Vicky Barham, John Conley, Hideo Konishi, Julian Manning and Roma Jakiwczyk for comments on an earlier draft of this paper. The author gratefully acknowledges the research support of the Social Sciences and Humanities Research Council of Canada.
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Wooders, M.H. Equivalence of Lindahl equilibrium with participation prices and the core. Econ Theory 9, 115–127 (1997). https://doi.org/10.1007/BF01213446
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DOI: https://doi.org/10.1007/BF01213446