Optimal Equilibria of the Best Shot Game
AbstractWe consider any network environment in which the âbest shot gameâ is played. This is the case where the possible actions are only two for every node (0 and 1), and the best response for a node is 1 if and only if all her neighbors play 0. A natural application of the model is one in which the action 1 is the purchase of a good, which is locally a public good, in the sense that it will be available also to neighbors. This game will typically exhibit a great multiplicity of equilibria. Imagine a social planner whose scope is to find an optimal equilibrium, i.e. one in which the number of nodes playing 1 is minimal. To find such an equilibrium is a very hard task for any non-trivial network architecture. We propose an implementable mechanism that, in the limit of infinite time, reaches an optimal equilibrium, even if this equilibrium and even the network structure is unknown to the social planner.
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Bibliographic InfoArticle provided by Association for Public Economic Theory in its journal Journal of Public Economic Theory.
Volume (Year): 13 (2011)
Issue (Month): 6 (December)
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Web page: http://www.blackwellpublishing.com/journal.asp?ref=1097-3923
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Other versions of this item:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
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- Andrea Galeotti & Sanjeev Goyal, 2007.
"The Law of the Few,"
Economics Discussion Papers, University of Essex, Department of Economics
636, University of Essex, Department of Economics.
- Andrea Galeotti & Sanjeev Goyal, 2010. "The Law of the Few," American Economic Review, American Economic Association, American Economic Association, vol. 100(4), pages 1468-92, September.
- Matthew Haag & Roger Lagunoff, 1999.
"Social Norms, Local Interaction, and Neighborhood Planning,"
Game Theory and Information, EconWPA
- Matthew Haag & Roger Lagunoff, 2006. "Social Norms, Local Interaction, And Neighborhood Planning ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 265-296, 02.
- Matthew Haag & Roger Lagunoff, 2000. "social Norms, Local Interaction and Neighborhood Planning," Levine's Working Paper Archive 2049, David K. Levine.
- Dunia L�pez-Pintado, 2008.
"The Spread of Free-Riding Behavior in a Social Network,"
Eastern Economic Journal,
Palgrave Macmillan, vol. 34(4), pages 464-479.
- Dunia Lopez Pintado, 2007. "The Spread of Free-Riding Behavior in a Social Network," UFAE and IAE Working Papers, Unitat de Fonaments de l'AnÃ lisi EconÃ²mica (UAB) and Institut d'AnÃ lisi EconÃ²mica (CSIC) 718.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, Springer, vol. 41(3), pages 371-386, January.
- Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008.
Economics Working Papers, European University Institute
ECO2008/07, European University Institute.
- Subhasish M. Chowdhury & Dongryul Lee & Roman M. Sheremeta, 2013.
"Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes,"
Working Papers, Chapman University, Economic Science Institute
13-12, Chapman University, Economic Science Institute.
- Chowdhury, Subhasish M. & Lee, Dongryul & Sheremeta, Roman M., 2013. "Top guns may not fire: Best-shot group contests with group-specific public good prizes," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 92(C), pages 94-103.
- Subhasish M. Chowdhury & Dongryul Lee & Roman M. Sheremeta, 2011. "Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes," University of East Anglia Applied and Financial Economics Working Paper Series, School of Economics, University of East Anglia, Norwich, UK. 024, School of Economics, University of East Anglia, Norwich, UK..
- Chowdhury, Subhasish & Lee, Dongryul & Sheremeta, Roman, 2013. "Top Guns May Not Fire: Best-Shot Group Contests with Group-Specific Public Good Prizes," MPRA Paper 46654, University Library of Munich, Germany.
- Boncinelli, Leonardo & Pin, Paolo, 2012. "Stochastic stability in best shot network games," Games and Economic Behavior, Elsevier, Elsevier, vol. 75(2), pages 538-554.
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