A Simple Supermodular Mechanism that Implements Lindahl Allocations
AbstractThis paper introduces a new incentive compatible mechanism which for general preference environments implements Lindahl allocations as Nash equilibria. The mechanism does not increase in structural complexity as consumers are added to the economy, the minimum dimension of data needed to compute payoffs is smaller than other mechanisms with comparable properties; and for quasi-linear environments, the mechanism induces a supermodular game for appropriate choices of the mechanism parameters. Thus, this new Lindahl mechanism provides a connection between the desirable welfare properties of Lindahl allocations and the desirable theoretical/ convergence properties of supermodular games.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 12781.
Date of creation: 15 Jan 2008
Date of revision:
Lindahl Equilibrium; Nash Implementation; Supermodular Games;
Find related papers by JEL classification:
- H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
- D02 - Microeconomics - - General - - - Institutions: Design, Formation, and Operations
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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- Yan Chen & Fang-Fang Tang, 1998. "Learning and Incentive-Compatible Mechanisms for Public Goods Provision: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 633-662, June.
- Vega-Redondo, Fernando, 1989. "Implementation of Lindahl equilibrium: an integration of the static and dynamic approaches," Mathematical Social Sciences, Elsevier, vol. 18(3), pages 211-228, December.
- Smith, Vernon L, 1980. "Experiments with a Decentralized Mechanism for Public Good Decisions," American Economic Review, American Economic Association, vol. 70(4), pages 584-99, September.
- Bailey, Martin J, 1994. " Lindahl Mechanisms and Free Riders," Public Choice, Springer, vol. 80(1-2), pages 35-39, July.
- Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
- Yan Chen & Robert Gazzale, 2004.
"When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting,"
American Economic Review,
American Economic Association, vol. 94(5), pages 1505-1535, December.
- Yan Chen & Robert S. Gazzale, 2004. "When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting," Department of Economics Working Papers 2004-02, Department of Economics, Williams College.
- Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
- Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
- Walker, Mark, 1980. "On the Nonexistence of a Dominant Strategy Mechanism for Making Optimal Public Decisions," Econometrica, Econometric Society, vol. 48(6), pages 1521-40, September.
- Rabah Amir, 2005.
"Supermodularity and Complementarity in Economics: An Elementary Survey,"
Southern Economic Journal,
Southern Economic Association, vol. 71(3), pages 636-660, January.
- AMIR, Rabah, 2003. "Supermodularity and complementarity in economics: an elementary survey," CORE Discussion Papers 2003104, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Groves, Theodore & Ledyard, John O, 1980.
"The Existence of Efficient and Incentive Compatible Equilibria with Public Goods,"
Econometric Society, vol. 48(6), pages 1487-1506, September.
- Groves, Theodore & Ledyard, John O., 1978. "The Existence of Efficient and Incentive Compatible Equilibria with Public Goods," Working Papers 203, California Institute of Technology, Division of the Humanities and Social Sciences.
- Kim, Taesung, 1993. "A stable Nash mechanism implementing Lindahl allocations for quasi-linear environments," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 359-371.
- Smith, Vernon L, 1979. " An Experimental Comparison of Three Public Good Decision Mechanisms," Scandinavian Journal of Economics, Wiley Blackwell, vol. 81(2), pages 198-215.
- Foley, Duncan K, 1970.
"Lindahl's Solution and the Core of an Economy with Public Goods,"
Econometric Society, vol. 38(1), pages 66-72, January.
- D. K. Foley, 1967. "Lindahl's Solution and the Core of an Economy with Public Goods," Working papers 3, Massachusetts Institute of Technology (MIT), Department of Economics.
- Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-65, November.
- Muench, Thomas & Walker, Mark, 1983. "Are Groves-Ledyard Equilibria Attainable? [Optimal Allocation of Public Goods: A Solution to the "Free Rider" Problem]," Review of Economic Studies, Wiley Blackwell, vol. 50(2), pages 393-96, April.
- Milleron, Jean-Claude, 1972. "Theory of value with public goods: A survey article," Journal of Economic Theory, Elsevier, vol. 5(3), pages 419-477, December.
- Matt Van Essen, 2012. "Information complexity, punishment, and stability in two Nash efficient Lindahl mechanisms," Review of Economic Design, Springer, vol. 16(1), pages 15-40, March.
- Healy, Paul J. & Mathevet, Laurent, 2012. "Designing stable mechanisms for economic environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
- Matt Van Essen, 2012. "A note on the stability of Chen’s Lindahl mechanism," Social Choice and Welfare, Springer, vol. 38(2), pages 365-370, February.
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