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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 CESifo Group Munich in its series CESifo Working Paper Series with number 1802.

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Date of creation: 2006
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Handle: RePEc:ces:ceswps:_1802

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Keywords: public goods; Lindahl equilibrium; ratio equilibrium;

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  1. Richard Cornes & Roger Hartley, 2003. "Aggregative Public Goods Games," NajEcon Working Paper Reviews 666156000000000063, www.najecon.org.
  2. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
  3. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, December.
  4. Joaquim Silvestre, 2003. "Wicksell, Lindahl and the Theory of Public Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(4), pages 527-553, December.
  5. 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.
  6. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April.
  7. 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.
  8. 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.
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