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Profit-Maximizing Sale of a Discrete Public Good via the Subscription Game in Private-Information Environments

Listed author(s):
  • Barbieri Stefano

    ()

    (Tulane University)

  • Malueg David A.

    ()

    (University of California - Riverside)

We analyze a symmetric Bayesian game in which two players individually contribute to fund a discrete public good; contributions are refunded if they do not reach a threshold set by the seller of the good. We characterize the distributions of players' private values that can support a symmetric equilibrium in continuous piecewise-linear strategies, and we calculate these strategies. Allowing the seller to charge an entry fee before players make their private contributions, we show these piecewise-linear equilibrium strategies maximize the seller's expected profit over all incentive compatible selling mechanisms.

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Article provided by De Gruyter in its journal The B.E. Journal of Theoretical Economics.

Volume (Year): 10 (2010)
Issue (Month): 1 (February)
Pages: 1-31

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Handle: RePEc:bpj:bejtec:v:10:y:2010:i:1:n:5
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  1. Cornelli, Francesca, 1996. "Optimal Selling Procedures with Fixed Costs," Journal of Economic Theory, Elsevier, vol. 71(1), pages 1-30, October.
  2. Bag, Parimal Kanti & Winter, Eyal, 1999. "Simple Subscription Mechanisms for Excludable Public Goods," Journal of Economic Theory, Elsevier, vol. 87(1), pages 72-94, July.
  3. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
  4. Menezes, Flavio M. & Monteiro, Paulo K. & Temimi, Akram, 2001. "Private provision of discrete public goods with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 493-514, July.
  5. Dirk Alboth & Anat Lerner & Jonathan Shalev, 1997. "Profit Maximizing in Auctions of Public Goods," Game Theory and Information 9707010, EconWPA, revised 01 Apr 1998.
  6. Stefano Barbieri & David A. Malueg, 2008. "Private Provision of a Discrete Public Good: Continuous-Strategy Equilibria in the Private-Information Subscription Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(4), pages 529-545, 08.
  7. John List & Jason Shogren & Michael Spencer & Stephen Swallow, 2008. "Rebate Rules in Threshold Public Good Provision," Artefactual Field Experiments 00476, The Field Experiments Website.
  8. Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
  9. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 583-601.
  10. Stefano Barbieri & David Malueg, 2008. "Private provision of a discrete public good: efficient equilibria in the private-information contribution game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 51-80, October.
  11. Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, 07.
  12. Bagnoli, Mark & McKee, Michael, 1991. "Voluntary Contribution Games: Efficient Private Provision of Public Goods," Economic Inquiry, Western Economic Association International, vol. 29(2), pages 351-366, April.
  13. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 259-276.
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