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An Implementation Approach to Rotation Programs

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  • Korpela, Ville
  • Lombardi, Michele
  • Saulle, Riccardo D.

Abstract

Rotation programs are widely used in societies. Some examples are job rotations, rotation schemes in the management of common-pool resources, and rotation procedures in fair division problems. We study rotation programs via the implementation of Pareto efficient social choice rules under complete information. The notion of the rotation program predicts the outcomes. A rotation program is a myopic stable set whose states are arranged circularly, and agents can effectively move only between two consecutive states. We provide characterizing conditions for the implementation in rotation programs and show that, for multi-valued rules, our notion of rotation monotonicity is necessary and sufficient for implementation. Finally, we identify two classes of assignment problems that are implementable in rotation programs.

Suggested Citation

  • Korpela, Ville & Lombardi, Michele & Saulle, Riccardo D., 2021. "An Implementation Approach to Rotation Programs," FEEM Working Papers 311054, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemwp:311054
    DOI: 10.22004/ag.econ.311054
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    References listed on IDEAS

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    1. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    2. Yu, Jingsheng & Zhang, Jun, 2020. "A market design approach to job rotation," Games and Economic Behavior, Elsevier, vol. 120(C), pages 180-192.
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    More about this item

    Keywords

    Research Methods/ Statistical Methods;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative 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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