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Stable sharing

Author

Listed:
  • Nicolò, Antonio
  • Salmaso, Pietro
  • Sen, Arunava
  • Yadav, Sonal
Abstract
We propose a simple model in which agents are matched in pairs in order to complete a task of unit size. The preferences of agents are single-peaked and continuous on the amount of time they devote to it. Our model combines features of two models: assignment games (Shapley and Shubik (1971)) and the division problem (Sprumont (1991)). We provide an algorithm (Select-Allocate-Match) that generates a stable and Pareto efficient allocation. We show that stable allocations may fail to exist if either the single-peakedness or the continuity assumption fail.

Suggested Citation

  • Nicolò, Antonio & Salmaso, Pietro & Sen, Arunava & Yadav, Sonal, 2023. "Stable sharing," Games and Economic Behavior, Elsevier, vol. 141(C), pages 337-363.
    • Handle: RePEc:eee:gamebe:v:141:y:2023:i:c:p:337-363
    DOI: 10.1016/j.geb.2023.06.009
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    References listed on IDEAS

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    3. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    4. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    5. Gensemer, Susan & Hong, Lu & Kelly, Jerry S., 1996. "Division Rules and Migration Equilibria," Journal of Economic Theory, Elsevier, vol. 69(1), pages 104-116, April.
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    More about this item

    Keywords

    Job sharing; Matching; Stability; Pareto efficiency;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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