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Existence, Uniqueness And Some Comparative Statics For Ratio- And Lindahl Equilibria: New Wine In Old Bottles

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  • Wolfgang Buchholz
  • Richard Cornes
  • Wolfgang Peters

Abstract

We present a rigorous, yet elementary, demonstration of the existence of a unique Lindahl equilibrium under the assumptions that characterize the standard n-player public good model. Indeed, our approach, which exploits the aggregative structure of the public good model, lends itself to a transparent geometric representation. Moreover, it can handle the more general concept of the cost-share or ratio equilibrium. Finally, we indicate how it may be ex-ploited to facilitate comparative static analysis of Lindahl and cost share equilibria.

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Paper provided by University of Nottingham, School of Economics in its series Discussion Papers with number 06/08.

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Handle: RePEc:not:notecp:06/08

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Postal: School of Economics University of Nottingham University Park Nottingham NG7 2RD
Phone: (44) 0115 951 5620
Fax: (0115) 951 4159
Web page: http://www.nottingham.ac.uk/economics/
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Keywords: Public goods; Lindahl equilibrium; ratio equilibrium.;

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  1. Sertel, Murat R. & Yildiz, Muhamet, 1998. "The Lindahl solution with changing population and resources1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 151-163, March.
  2. Joaquim Silvestre, 2003. "Wicksell, Lindahl and the Theory of Public Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(4), pages 527-553, December.
  3. Richard Cornes & Roger Hartley, 2003. "Aggregative Public Goods Games," NajEcon Working Paper Reviews 666156000000000063, www.najecon.org.
  4. Kaneko, Mamoru, 1977. "The ratio equilibrium and a voting game in a public goods economy," Journal of Economic Theory, Elsevier, vol. 16(2), pages 123-136, December.
  5. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
  6. Danziger, Leif, 1976. "A graphic representation of the Nash and Lindahl equilibria in an economy with a public good," Journal of Public Economics, Elsevier, vol. 6(3), pages 295-307, October.
  7. Jean Hindriks & Gareth D. Myles, 2006. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262083442.
  8. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
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