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Implementability and equity in production economies with unequal skills

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  • Kaname Miyagishima

Abstract

In this paper, we study the problem of fair allocation in production economies where agents have different preferences and unequal production skills. We characterize the equal income Walrasian solution and the proportional solution using axioms of equity and a certain form of implementability developed by Yamada and Yoshihara (Int J Game Theory 36:85–106, 2007 ). Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Kaname Miyagishima, 2015. "Implementability and equity in production economies with unequal skills," Review of Economic Design, Springer;Society for Economic Design, vol. 19(3), pages 247-257, September.
    • Handle: RePEc:spr:reecde:v:19:y:2015:i:3:p:247-257
    DOI: 10.1007/s10058-015-0175-8
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    References listed on IDEAS

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    1. Thomson, William, 1983. "Equity in exchange economies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 217-244, April.
    2. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
    3. Yoshihara, Naoki, 1998. "Characterizations of the public and private ownership solutions," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 165-184, March.
    4. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    5. Marc Fleurbaey & François Maniquet, 2006. "Compensation and responsibility," Working Papers halshs-00121367, HAL.
    6. Yoshihara, Naoki & 吉原, 直毅 & Yamada, Akira & 山田, 玲良, 2010. "Nash Implementation in Production Economies with Unequal Skills: A Complete Characterization," CCES Discussion Paper Series 38, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    7. Jackson Matthew O. & Palfrey Thomas R. & Srivastava Sanjay, 1994. "Undominated Nash Implementation in Bounded Mechanisms," Games and Economic Behavior, Elsevier, vol. 6(3), pages 474-501, May.
    8. Roemer John E. & Silvestre Joaquim, 1993. "The Proportional Solution for Economies with Both Private and Public Ownership," Journal of Economic Theory, Elsevier, vol. 59(2), pages 426-444, April.
    9. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    10. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    11. Elisha A. Pazner & David Schmeidler, 1974. "A Difficulty in the Concept of Fairness," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 441-443.
    12. Akira Yamada & Naoki Yoshihara, 2007. "Triple implementation by sharing mechanisms in production economies with unequal labor skills," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 85-106, September.
    13. Marc Fleurbaey & Francois Maniquet, 1999. "Cooperative production with unequal skills: The solidarity approach to compensation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 569-583.
    14. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
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    Cited by:

    1. Vu Thi Huong & Jen-Chih Yao & Nguyen Dong Yen, 2017. "On the Stability and Solution Sensitivity of a Consumer Problem," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 567-589, November.

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    More about this item

    Keywords

    Equity; Implementability; Equal income Walrasian solution; Proportional solution; D61; D63; D71;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • 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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