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Profit-sharing and efficient time allocation

Author

Listed:
  • Ruben Juarez

    (University of Hawaii)

  • Kohei Nitta

    (Chiba University of Commerce)

  • Miguel Vargas

    (Universidad Santiago de Cali)

Abstract

Agents are endowed with time, which in turn is invested in projects that generate profit. A mechanism divides the profit generated by these agents depending on the allocation of time as well as the amount of profit made by every project. We study mechanisms that incentivize agents to contribute their time to a level that results in the maximal aggregate profit at the Nash equilibrium, regardless of the production functions involved (efficiency). Our main finding involves the characterization of all mechanisms that satisfy efficiency. Furthermore, within this class, we characterize the mechanisms that are monotone on the addition of time to agents as well as those monotone on the payoffs of the agents with respect to technological improvements in the generation of profit. The class of efficient mechanisms depends on the type of available projects and their connectedness. It expands earlier profit-sharing mechanisms that are independent of profit generation.

Suggested Citation

  • Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    • Handle: RePEc:spr:joecth:v:70:y:2020:i:3:d:10.1007_s00199-019-01230-7
    DOI: 10.1007/s00199-019-01230-7
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    1. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    2. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357, Elsevier.
    3. Thomson, William, 1995. "Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 229-246, March.
    4. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
    5. de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
    6. María Gómez-Rúa & Juan Vidal-Puga, 2017. "A monotonic and merge-proof rule in minimum cost spanning tree situations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 813-826, March.
    7. Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    8. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Tvede, Mich & Østerdal, Lars Peter, 2017. "Sharing the proceeds from a hierarchical venture," Games and Economic Behavior, Elsevier, vol. 102(C), pages 98-110.
    9. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    10. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    11. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.
    12. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    13. Ruben Juarez & Rajnish Kumar, 2013. "Implementing efficient graphs in connection networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 359-403, October.
    14. Mackenzie, Andrew, 2015. "Symmetry and impartial lotteries," Games and Economic Behavior, Elsevier, vol. 94(C), pages 15-28.
    15. Joyee Deb & Jin Li & Arijit Mukherjee, 2016. "Relational contracts with subjective peer evaluations," RAND Journal of Economics, RAND Corporation, vol. 47(1), pages 3-28, February.
    16. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    17. T. Tideman & Florenz Plassmann, 2008. "Paying the partners," Public Choice, Springer, vol. 136(1), pages 19-37, July.
    18. Bengt Holmstrom, 1979. "Moral Hazard and Observability," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 74-91, Spring.
    19. Ruben Juarez, 2008. "The worst absolute surplus loss in the problem of commons: random priority versus average cost," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 69-84, January.
    20. Ruben Juarez & Jung S. You, 2019. "Optimality of the uniform rule under single-peaked preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 27-36, May.
    21. Hougaard, Jens Leth & Tvede, Mich, 2015. "Minimum cost connection networks: Truth-telling and implementation," Journal of Economic Theory, Elsevier, vol. 157(C), pages 76-99.
    22. Luis Rayo, 2007. "Relational Incentives and Moral Hazard in Teams," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 937-963.
    23. HOLMSTROM, Bengt, 1979. "Moral hazard and observability," LIDAM Reprints CORE 379, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Jens Leth Hougaard & Hervé Moulin, 2018. "Sharing the cost of risky projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 663-679, May.
    25. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Cited by:

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    3. Bergantiños, Gustavo & Moreno-Ternero, Juan D., 2022. "Separable rules to share the revenues from broadcasting sports leagues," Economics Letters, Elsevier, vol. 211(C).
    4. Juarez, Ruben & Nitta, Kohei & Vargas, Miguel, 2021. "Coalitional efficient profit-sharing," Economics Letters, Elsevier, vol. 204(C).

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    More about this item

    Keywords

    Profit-sharing; Cost-sharing; Efficiency; Implementation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • 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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