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Welfare maximization in stable sharing services

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  • Salmaso, Pietro

Abstract

We propose a model of sharing of public services among local governments. Our model is an application of Nicoló et al. (2023) and combines features of two models: assignment games (Shapley and Shubik, 1971) and the division problem (Sprumont, 1991). I show that the SAM algorithm provided in Nicoló et al. (2023) generates a stable allocation that maximizes utilitarian welfare when preferences are Euclidean single-peaked. We then discuss the incentive compatibility of the solution proposed and the relation with welfare functions different from the utilitarian one.

Suggested Citation

  • Salmaso, Pietro, 2024. "Welfare maximization in stable sharing services," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    • Handle: RePEc:eee:soceps:v:93:y:2024:i:c:s0038012124000430
    DOI: 10.1016/j.seps.2024.101844
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    References listed on IDEAS

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    1. 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.
    2. Chung-Piaw Teo & Jay Sethuraman, 1998. "The Geometry of Fractional Stable Matchings and Its Applications," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 874-891, November.
    3. Thomson,William, 2019. "How to Divide When There Isn't Enough," Cambridge Books, Cambridge University Press, number 9781107194625, November.
    4. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
    5. Johan Karlander & Kimmo Eriksson, 2001. "Stable outcomes of the roommate game with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 555-569.
    6. Thomson,William, 2019. "How to Divide When There Isn't Enough," Cambridge Books, Cambridge University Press, number 9781316646441, November.
    7. Sonmez, Tayfun, 1994. "Consistency, monotonicity, and the uniform rule," Economics Letters, Elsevier, vol. 46(3), pages 229-235, November.
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    Cited by:

    1. Chessa, Michela & Ciardiello, Francesco & Martinez, Ricardo & Meca, Ana & Saulle, Riccardo D., 2024. "Foreword for the special issue: “Decision-Making Models for Common Goods in Environmental, Health, and Logistics Contexts”," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).

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    More about this item

    Keywords

    Sharing services; Matching theory; Utilitarian welfare; Rawlsian welfare;
    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
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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