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A study of proportionality and robustness in economies with a commonly owned technology

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  • MANIQUET, François

Abstract

Studying one-input one-output economies, we say that an allocation is proportional if the input-output ratio is identical among agents and if each agent maximizes her welfare given this ratio. We propose three equity axioms based on this definition, and we use them to compare the main solutions to this simple equity problem. We also combine efficiency, robustness axioms and our proportionality axioms to characterize two solutions.
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Suggested Citation

  • MANIQUET, François, 2002. "A study of proportionality and robustness in economies with a commonly owned technology," LIDAM Reprints CORE 1661, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1661
    DOI: 10.1007/s100580100037
    Note: In : Review of Economic Design, 7, 1-15, 2002
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    Cited by:

    1. Yoshihara, Naoki & Veneziani, Roberto, 2018. "The Theory Of Exploitation As The Unequal Exchange Of Labour," Economics and Philosophy, Cambridge University Press, vol. 34(3), pages 381-409, November.
    2. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    3. Giorgos Galanis & Roberto Veneziani & Naoki Yoshihara, 2018. "The dynamics of exploitation and inequality in economies with heterogeneous agents," Working Papers SDES-2018-10, Kochi University of Technology, School of Economics and Management, revised Oct 2018.
    4. Roberto Veneziani & Naoki Yoshihara, 2015. "Unequal Exchange, Assets, and Power: Recent Developments in Exploitation Theory," Studies in Choice and Welfare, in: Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu (ed.), Individual and Collective Choice and Social Welfare, edition 127, pages 253-287, Springer.
    5. Galanis, Giorgos & Veneziani, Roberto & Yoshihara, Naoki, 2019. "The dynamics of inequalities and unequal exchange of labor in intertemporal linear economies," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 29-46.
    6. Bochet, Olivier & Maniquet, François, 2010. "Virtual Nash implementation with admissible support," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 99-108, January.
    7. Arguedas, Carmen & Kranich, Laurence, 2006. "The linear cost equivalent rule: A solution procedure for heterogeneous joint production problems," Mathematical Social Sciences, Elsevier, vol. 51(1), pages 70-80, January.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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