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Linear and Utilitarian Choice Functions: Revisiting Myerson’s Theorem

Author

Listed:
  • Benjamin Bachi

    (Department of Economics, University of Haifa, Mount Carmel, Haifa 31905, Israel)

  • Shiran Rachmilevitch

    (Department of Economics, University of Haifa, Mount Carmel, Haifa 31905, Israel)

Abstract

Myerson proved that every linear and weakly Paretian choice function is utilitarian. We revisit his model and result for the two-person case and supplement it with an “only if” direction. That is, we characterize the class of linear and weakly Paretian two-person choice functions. It turns out that these are the utilitarian functions with an “egalitarian tie-breaking.”

Suggested Citation

  • Benjamin Bachi & Shiran Rachmilevitch, 2022. "Linear and Utilitarian Choice Functions: Revisiting Myerson’s Theorem," Mathematics of Operations Research, INFORMS, vol. 47(2), pages 989-994, May.
    • Handle: RePEc:inm:ormoor:v:47:y:2022:i:2:p:989-994
    DOI: 10.1287/moor.2021.1157
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    References listed on IDEAS

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    3. Myerson, Roger B, 1981. "Utilitarianism, Egalitarianism, and the Timing Effect in Social Choice Problems," Econometrica, Econometric Society, vol. 49(4), pages 883-897, June.
    4. Adam Kalai & Ehud Kalai, 2013. "Cooperation in Strategic Games Revisited," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 917-966.
    5. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    6. Thomson, William, 1981. "Nash's Bargaining Solution and Utilitarian Choice Rules," Econometrica, Econometric Society, vol. 49(2), pages 535-538, March.
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