Optimal mechanism design for the private supply of a public good
We study the problem of finding the profit-maximizing mechanism for a monopolistic provider of a single, non-excludable public good. Our model covers the most general setting, namely, we allow for correlation in the signal distribution as well as for informational externalities in the valuations. We show that the optimal deterministic, ex-post incentive compatible, ex-post individual rational mechanism can be computed in polynomial time by reducing the problem to finding a maximal weight closure in a directed graph. Node weights in the graph correspond to conditional virtual values, while the network structure is arising from the monotonicity constraints. We discuss what can be achieved if we relax our core assumptions one by one, i.e., if we go for randomized, interim individual rational or Bayes–Nash implementable mechanisms. Finally, we demonstrate that our techniques can be adapted for the excludable public good problem as well.
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- Paul Milgrom & Robert J. Weber, 1981.
"A Theory of Auctions and Competitive Bidding,"
447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Jean-Claude Picard, 1976. "Maximal Closure of a Graph and Applications to Combinatorial Problems," Management Science, INFORMS, vol. 22(11), pages 1268-1272, July.
- Schmitz, Patrick W, 1997.
"Monopolistic Provision of Excludable Public Goods under Private Information,"
Public Finance = Finances publiques,
, vol. 52(1), pages 89-101.
- Schmitz, Patrick W., 1997. "Monopolistic Provision of Excludable Public Goods under Private Information," MPRA Paper 6549, University Library of Munich, Germany.
- Alex Gershkov & Benny Moldovanu & Xianwen Shi, 2011. "Bayesian and Dominant Strategy Implementation Revisited," Working Papers tecipa-422, University of Toronto, Department of Economics.
- Alejandro M. Manelli & Daniel R. Vincent, 2010. "Bayesian and Dominant‐Strategy Implementation in the Independent Private‐Values Model," Econometrica, Econometric Society, vol. 78(6), pages 1905-1938, November.
- Jehiel, Philippe & Moldovanu, Benny, 2006.
"Allocative and Informational Externalities in Auctions and Related Mechanisms,"
CEPR Discussion Papers
5558, C.E.P.R. Discussion Papers.
- Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Philippe Jehiel & Benny Moldovanu, 2006. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 122247000000001129, UCLA Department of Economics.
- Philippe Jehiel & Benny Moldovanu, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Levine's Bibliography 784828000000000490, UCLA Department of Economics.
- Fernando Branco, 1996. "Multiple unit auctions of an indivisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 77-101.
- Gueth,Werner & Hellwig,Martin, 1986.
"The private supply of a public good,"
Discussion Paper Serie A
40, University of Bonn, Germany.
- Jean-Jacques Laffont & David Martimort, 2000.
"Mechanism Design with Collusion and Correlation,"
Econometric Society, vol. 68(2), pages 309-342, March.
- Robert B. Wilson, 1967. "Competitive Bidding with Asymmetric Information," Management Science, INFORMS, vol. 13(11), pages 816-820, July.
- Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2005.
"The Limits of Ex-Post Implementation,"
666156000000000548, UCLA Department of Economics.
- Philippe Jehiel & Moritz Meyer-Ter-Vehn & Benny Moldovanu & William B. Zame, 2006. "The Limits of Ex-Post Implementation," Post-Print halshs-00754157, HAL.
- Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu & William R. Zame, 2005. "The Limits of Ex-Post Implementation," UCLA Economics Working Papers 839, UCLA Department of Economics.
- McAfee, R Preston & Reny, Philip J, 1992. "Correlated Information and Mechanism Design," Econometrica, Econometric Society, vol. 60(2), pages 395-421, March.
- Bruce Faaland & Kiseog Kim & Tom Schmitt, 1990. "A New Algorithm for Computing the Maximal Closure of a Graph," Management Science, INFORMS, vol. 36(3), pages 315-331, March.
- Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
- Vohra,Rakesh V., 2011. "Mechanism Design," Cambridge Books, Cambridge University Press, number 9781107004368, December.
- Vohra,Rakesh V., 2011. "Mechanism Design," Cambridge Books, Cambridge University Press, number 9780521179461, December.
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