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Implementation of the Ordinal Shapley Value for a Three-agent Economy

Author

Listed:
  • David Pérez-Castrillo
  • David Wettstein

Abstract

We propose a simple mechanism that implements the Ordinal Shapley Value (Pérez-Castrillo and Wettstein [2005]) for economies with three or less agents.

Suggested Citation

  • David Pérez-Castrillo & David Wettstein, 2005. "Implementation of the Ordinal Shapley Value for a Three-agent Economy," Working Papers 167, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:167
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    File URL: http://www.barcelonagse.eu/sites/default/files/working_paper_pdfs/167.pdf
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    References listed on IDEAS

    as
    1. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
    2. Safra, Zvi, 1984. "On the frequency of the transfer paradox," Economics Letters, Elsevier, vol. 15(3-4), pages 209-212.
    3. Roth,Alvin E. (ed.), 2005. "The Shapley Value," Cambridge Books, Cambridge University Press, number 9780521021333, October.
    4. Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
    5. Perez-Castrillo, David & Wettstein, David, 2006. "An ordinal Shapley value for economic environments," Journal of Economic Theory, Elsevier, vol. 127(1), pages 296-308, March.
    6. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
    7. David Perez-Castrillo & David Wettstein, 2004. "An Ordinal Shapley Value for Economic Environments (Revised Version)," UFAE and IAE Working Papers 634.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. Winter, Eyal, 1994. "The Demand Commitment Bargaining and Snowballing Cooperation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 255-273, March.
    9. (*), Y. Stephen Chiu & Ani Dasgupta, 1998. "On implementation via demand commitment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 161-189.
    10. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    11. David Pérez-Castrillo & David Wettstein, 2002. "Choosing Wisely: A Multibidding Approach," American Economic Review, American Economic Association, vol. 92(5), pages 1577-1587, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Gustavo Bergantiños & Juan Vidal-Puga, 2005. "The Consistent Coalitional Value," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 832-851, November.
    2. Demougin, Dominique M. & Fabel, Oliver, 2006. "The division of ownership in new ventures," SFB 649 Discussion Papers 2006-047, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    3. Dominique Demougin & Oliver Fabel, 2007. "Entrepreneurship and the Division of Ownership in New Ventures," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(1), pages 111-128, March.
    4. repec:hum:wpaper:sfb649dp2006-047 is not listed on IDEAS
    5. Sun, Chaoran, 2022. "Bidding against a Buyout: Implementing the Shapley value and the equal surplus value," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    6. Vidal-Puga, Juan, 2015. "A non-cooperative approach to the ordinal Shapley–Shubik rule," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 111-118.
    7. Vidal-Puga, Juan, 2013. "A non-cooperative approach to the ordinal Shapley rule," MPRA Paper 43790, University Library of Munich, Germany.

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    More about this item

    Keywords

    ordinal shapley value; Implementation; Mechanism Design;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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