Nash implementation via simple stochastic mechanisms: strategy space reduction
Benoît and Ok (Games Econ Behav 64:51–67, 2008 ) show that in a society with at least three agents any weakly unanimous social choice correspondence (SCC) is Maskin’s monotonic if and only if it is Nash-implementable via a simple stochastic mechanism (Benoît-Ok’s Theorem). This paper fully identifies the class of weakly unanimous SCCs that are Nash-implementable via a simple stochastic mechanism endowed with Saijo’s message space specification (Saijo in Econometrica 56:693–700, 1988 ). It is shown that this class of SCCs is equivalent to the class of SCCs that are Nash-implementable via Benoît-Ok’s Theorem. Copyright The Author(s) 2012
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Volume (Year): 16 (2012)
Issue (Month): 4 (December)
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References listed on IDEAS
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- Lombardi, Michele & Yoshihara, Naoki, 2011.
"Partially-honest Nash implementation: Characterization results,"
CCES Discussion Paper Series
43, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
- Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," MPRA Paper 28838, University Library of Munich, Germany.
- Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
- Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
- Lombardi Michele & Yoshihara Naoki, 2010.
"A Full Characterization of Nash Implementation with Strategy Space Reduction,"
023, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer, vol. 54(1), pages 131-151, September.
- Lombardi, Michele & Yoshihara, Naoki, 2011. "A Full Characterization of Nash Implementation with Strategy Space Reduction," Discussion Paper Series a548, Institute of Economic Research, Hitotsubashi University.
- Benoît, Jean-Pierre & Ok, Efe A., 2008. "Nash implementation without no-veto power," Games and Economic Behavior, Elsevier, vol. 64(1), pages 51-67, September.
- Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
- Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
- Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
- Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
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