Plurality Mechanisms, Virtual Implementation, and Condorcet-Decisiveness
We investigate implementation of social choice functions as mappings from states to lotteries under complete information. We assume that for every agent, any pair of distinct states induces distinct preferences. A social choice function is called Condorcet-decisive if it always enforces the Condorcet winner among its range. We introduce plurality mechanisms, where each agent makes a single announcement and the lottery associated with the opinion announced by the largest number of agents is enforced. We show that a social choice function is virtually implementable via plurality mechanisms combined with constrained random dictatorship, if and only if it is Condorcet-decisive.
|Date of creation:||Mar 2002|
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- Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
- Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
- Matthew O. Jackson, 1992.
"Implementation in Undominated Strategies: A Look at Bounded Mechanisms,"
Review of Economic Studies,
Oxford University Press, vol. 59(4), pages 757-775.
- Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- JoseHerrero, Maria & Srivastava, Sanjay, 1992. "Implementation via backward induction," Journal of Economic Theory, Elsevier, vol. 56(1), pages 70-88, February.
- Hitoshi Matsushima, 2002. "Stability and Implementation via Simple Mechanisms in the Complete Information Environments," CIRJE F-Series CIRJE-F-147, CIRJE, Faculty of Economics, University of Tokyo.
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