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Repeated Implementation with Overlapping Generations of Agents

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Abstract

We study repeated implementation in a model with overlapping generations of agents. A social choice function selects an alternative in each period as a function of preferences of the agents who are alive in that period. When the agents' preferences do not change during their lifetime, we show that any social choice function satisfying a mild unanimity condition is repeatedly implementable in subgame perfect equilibrium if there are at least three agents and they live sufficiently long. When the agents' preferences change every period, we show that only efficient social choice functions can be repeatedly implementable if the agents live sufficiently long.

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  • Azacis, Helmuts, 2017. "Repeated Implementation with Overlapping Generations of Agents," Cardiff Economics Working Papers E2017/16, Cardiff University, Cardiff Business School, Economics Section.
  • Handle: RePEc:cdf:wpaper:2017/16
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    References listed on IDEAS

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    1. Kalai, Ehud & Ledyard, John O., 1998. "Repeated Implementation," Journal of Economic Theory, Elsevier, vol. 83(2), pages 308-317, December.
    2. Āzacis, Helmuts & Vida, Péter, 2019. "Repeated implementation: A practical characterization," Journal of Economic Theory, Elsevier, vol. 180(C), pages 336-367.
    3. Abreu, Dilip & Sen, Arunava, 1990. "Subgame perfect implementation: A necessary and almost sufficient condition," Journal of Economic Theory, Elsevier, vol. 50(2), pages 285-299, April.
    4. Salant, David J., 1991. "A repeated game with finitely lived overlapping generations of players," Games and Economic Behavior, Elsevier, vol. 3(2), pages 244-259, May.
    5. Vartiainen, Hannu, 2007. "Subgame perfect implementation: A full characterization," Journal of Economic Theory, Elsevier, vol. 133(1), pages 111-126, March.
    6. Michihiro Kandori, 1992. "Repeated Games Played by Overlapping Generations of Players," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 81-92.
    7. Smith, Lones, 1992. "Folk theorems in overlapping generations games," Games and Economic Behavior, Elsevier, vol. 4(3), pages 426-449, July.
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    More about this item

    Keywords

    Repeated Implementation; Subgame Perfect Implementa- tion; Overlapping Generations; Necessary and Sufficient Conditions; Efficiency in the Range;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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