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Efficient strategy-proof allocation functions in linear production economies

Author

Listed:
  • François Maniquet

    (Fonds National de la Recherche Scientifique and Facultés Universitaires Notre-Dame de la Paix, 8 Rempart de la Vierge, B-5000 Namur, BELGIUM)

  • Yves Sprumont

    (Département de Sciences Economiques and Centre de Recherche et Développement en Economique, Université de Montréal, 3150, rue Jean-Brillant, bureau C-6024 C.P. 6128, Succ. Centre-Ville Montréal H3C 3J7, CANADA)

Abstract

In a linear production model, we characterize the class of efficient and strategy-proof allocation functions, and the class of efficient and coalition strategy-proof allocation functions. In the former class, requiring equal treatment of equals allows us to identify a unique allocation function. This function is also the unique member of the latter class which satisfies uniform treatment of uniforms.

Suggested Citation

  • François Maniquet & Yves Sprumont, 1999. "Efficient strategy-proof allocation functions in linear production economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(3), pages 583-595.
    • Handle: RePEc:spr:joecth:v:14:y:1999:i:3:p:583-595
    Note: Received: July 10, 1997 / Revised version: November 24, 1997
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    Cited by:

    1. Nishizaki, Katsuhiko, 2018. "Secure implementability under Pareto-efficient rules in linear production economies with classical preferences," Research in Economics, Elsevier, vol. 72(3), pages 379-383.
    2. Özgür Kıbrıs & İpek Tapkı, 2014. "A mechanism design approach to allocating central government funds among regional development agencies," Review of Economic Design, Springer;Society for Economic Design, vol. 18(3), pages 163-189, September.
    3. Beviá, Carmen & Corchón, Luis C., 2009. "Cooperative production and efficiency," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 143-154, March.
    4. Kazuhiko Hashimoto, 2008. "Strategy-proofness versus efficiency on the Cobb-Douglas domain of exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(3), pages 457-473, October.
    5. Wataru Ishida, 2023. "Strategy-proofness in linear production economies with homothetic or quasi-linear preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 121-130, April.
    6. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
    7. Mackenzie, Andrew & Trudeau, Christian, 2018. "Club good mechanisms: from free-riders to citizen-shareholders, from impossibility to characterization," Research Memorandum 012, Maastricht University, Graduate School of Business and Economics (GSBE).
    8. Takashi Hayashi, 2020. "Strategy-proofness and efficiency in labour production economy with unequal skills," The Japanese Economic Review, Springer, vol. 71(2), pages 221-232, April.
    9. He Liu & Yun Bai & Zhiguang Huang & Han Qiao & Shouyang Wang, 2023. "Private banking development in China under two organizational structures: Economic analysis from an organizational innovation perspective," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-23, December.
    10. Leroux, Jistin, 2004. "Strategy-Proofness and Efficiency Are Incompatible in Production Economies," Working Papers 2004-07, Rice University, Department of Economics.
    11. Leroux, Justin, 2004. "Strategy-proofness and efficiency are incompatible in production economies," Economics Letters, Elsevier, vol. 85(3), pages 335-340, December.
    12. Leroux, Justin, 2008. "Profit sharing in unique Nash equilibrium: Characterization in the two-agent case," Games and Economic Behavior, Elsevier, vol. 62(2), pages 558-572, March.
    13. Yan Long, 2019. "Strategy-proof group selection under single-peaked preferences over group size," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(3), pages 579-608, October.
    14. KayI, Çagatay & Ramaekers, Eve, 2010. "Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems," Games and Economic Behavior, Elsevier, vol. 68(1), pages 220-232, January.

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    Keywords

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    JEL classification:

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

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