We introduce a model of an local public goods economy with a continuum of agents and jurisdictions with finite population. Under an especially mild condition of boundedness of per capita payoffs we show nonemptiness of the core of the economy. We then demonstrate that the equal treatment core coincides with the set of competitive allocations. Under an additional condition ensuring that all outcomes in the core have the equal treatment property, existence of equilibrium follows from nonemptiness of the core and equivalence of the core to the set of equilibrium outcomes. Our approach provides a new technique for showing existence of equilibrium in economies with a continuum of agents.
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Paper provided by University of Toronto, Department of Economics in its series Working Papers with number
mwooders-98-06.
Length: 44 pages Date of creation: 11 May 1998 Date of revision: Handle: RePEc:tor:tecipa:mwooders-98-06
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Find related papers by JEL classification: C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory D4 - Microeconomics - - Market Structure and Pricing D5 - Microeconomics - - General Equilibrium and Disequilibrium H4 - Public Economics - - Publicly Provided Goods
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999.
"Clubs and the Market,"
Econometrica,
Econometric Society, vol. 67(5), pages 1185-1218, September.
Other versions:
Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999.
"Clubs and the Market,"
Discussion Papers
99-04, University of Copenhagen. Department of Economics.
[Downloadable!]
Patrick Legros & Andrew F. Newman, 1992.
"Wealth Effects,"
Discussion Papers
1024, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
[Downloadable!]
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