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

Author

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  • 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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    Cited by:

    1. Bochet, Olivier & Maniquet, François, 2010. "Virtual Nash implementation with admissible support," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 99-108, January.
    2. 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.
    3. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    4. Roberto Veneziani & Naoki Yoshihara, 2017. "The theory of exploitation as the unequal exchange of labour," Working Papers 824, Queen Mary University of London, School of Economics and Finance.
    5. Veneziani, Roberto & Yoshihara, Naoki, 2016. "The Theory of Exploitation as the Unequal Exchange of Labour," Discussion Paper Series 652, Institute of Economic Research, Hitotsubashi University.
    6. Veneziani, Roberto & Yoshihara, Naoki, 2013. "Unequal Exchange, Assets, and Power: Recent Developments in Exploitation Theory," Discussion Paper Series 594, Institute of Economic Research, Hitotsubashi University.

    More about this item

    Keywords

    Proportional allocation; monotonicity; consistency;

    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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