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Existence, Uniqueness and Some Comparative Statics for Ratio- and Lindahl Equilibria: New Wine in Old Bottles

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Author Info
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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Publisher Info
Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number CESifo Working Paper No. 1802.

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

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Related research
Keywords: public goods; Lindahl equilibrium; ratio equilibrium;

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Find related papers by JEL classification:
H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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  1. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October. [Downloadable!] (restricted)
  2. 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)
  3. 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)
  4. 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)
  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. [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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