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

Author

Listed:
  • François Maniquet

    (Department of Economics, Social Sciences and Management Sciences, University of Namur, Rempart de la Vierge 8, 5000 Namur, Belgium)

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.

Suggested Citation

  • François Maniquet, 2002. "A study of proportionality and robustness in economies with a commonly owned technology," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 1-15.
    • Handle: RePEc:spr:reecde:v:7:y:2002:i:1:p:1-15
    Note: Received: 11 June 1997 / Accepted: 26 May 2000
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    Citations

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    Cited by:

    1. 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.
    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. 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.
    4. Bochet, Olivier & Maniquet, François, 2010. "Virtual Nash implementation with admissible support," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 99-108, January.
    5. Galanis, Giorgos & Veneziani, Roberto & Yoshihara, Naoki, 2018. "The Dynamics of Exploitation and Inequality in Economies with Heterogeneous Agents," Discussion Paper Series 679, Institute of Economic Research, Hitotsubashi University.
    6. 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.
    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

    Keywords

    Proportional allocation; monotonicity; consistency;
    All these keywords.

    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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