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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

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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
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Keywords: Public goods; Lindahl equilibrium; ratio equilibrium.;

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  1. Mas-Colell, Andreu & Silvestre, Joaquim, 1989. "Cost share equilibria: A Lindahlian approach," Journal of Economic Theory, Elsevier, vol. 47(2), pages 239-256, April. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Roger Hartley & Richard Cornes, 2003. "Aggregative Public Good Games," Keele Economics Research Papers KERP 2003/05, Centre for Economic Research, Keele University. [Downloadable!]
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