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Direct Mechanisms, Virtual Implementation, and Majority-Proofness

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  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

Abstract

We investigate implementation in the complete information environments, where a social choice function is defined as a mapping from states to lotteries, and there exist four or more agents. We assume that for every agent, any pair of distinct states induces distinct strict preference orderings over all pure alternatives. In contrast to the previous works, we construct only direct mechanisms. Without any help of mechanism complexity, we can show that every social choice function is virtually implementable, provided that the set of states is restricted in ways that there always exist a majority of agents who dislike a particular agent's dictatorial choice the worst.

Suggested Citation

  • Hitoshi Matsushima, 2002. "Direct Mechanisms, Virtual Implementation, and Majority-Proofness," CIRJE F-Series CIRJE-F-149, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2002cf149
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    References listed on IDEAS

    as
    1. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    2. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    3. 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.
    4. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-1442, November.
    5. Hitoshi Matsushima, 2002. "Plurality Mechanisms, Virtual Implementation, and Condorcet-Decisiveness," CIRJE F-Series CIRJE-F-148, CIRJE, Faculty of Economics, University of Tokyo.
    6. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    Full references (including those not matched with items on IDEAS)

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