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Not obviously manipulable allotment rules

Author

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  • Bonifacio Agustín Germán
  • Arribillaga Roberto Pablo

Abstract

In the problem of allocating a single non-disposable commodity among agents whose preferences are single-peaked, we study a weakening of strategy-proofness called not obvious manipulability (NOM). If agents are cognitively limited, then NOM is sufficient to describe their strategic behavior. We characterize a large family of efficient and NOM rules, which we call ""simple"". The idea behind their definition has been dormant in the axiomatic literature for a long time. In economies with excess demand, simple rules fully satiate agents whose peak amount is no greater than equal division and assign, to each remaining agent, an amount between equal division and his peak. In economies with excess supply, simple rules are defined symmetrically. We also show that the single-plateaued domain is maximal for efficiency and NOM (together with other basic requirements). Therefore, even though replacing strategy-proofness with NOM greatly expands the family of admissible rules, the maximal domain of preferences involved remains basically unaltered.

Suggested Citation

  • Bonifacio Agustín Germán & Arribillaga Roberto Pablo, 2023. "Not obviously manipulable allotment rules," Asociación Argentina de Economía Política: Working Papers 4627, Asociación Argentina de Economía Política.
  • Handle: RePEc:aep:anales:4627
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    References listed on IDEAS

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    1. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    2. Ching, Stephen & Serizawa, Shigehiro, 1998. "A Maximal Domain for the Existence of Strategy-Proof Rules," Journal of Economic Theory, Elsevier, vol. 78(1), pages 157-166, January.
    3. Masso, Jordi & Neme, Alejandro, 2001. "Maximal Domain of Preferences in the Division Problem," Games and Economic Behavior, Elsevier, vol. 37(2), pages 367-387, November.
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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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