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Multi-Party Negotiation When Agents Have Subjective Estimates of Bargaining Powers

Author

Listed:
  • Nicolas Quérou

    (Queen’s University Belfast)

  • Patrick Rio

    (INRA LAMETA)

  • Mabel Tidball

    (INRA LAMETA)

Abstract

This paper presents a method for generating Pareto-optimal solutions in multi-party negotiations. In this iterative method, decision makers (DMs) formulate proposals that yield a minimum payoff to their opponents. Each proposal belongs to the efficient frontier, DMs try to adjust to a common one. In this setting, each DM is supposed to have a given bargaining power. More precisely each DM is supposed to have a subjective estimate of the power of the different parties. We study the convergence of the method, and provide examples where there is no possible agreement resulting from it.

Suggested Citation

  • Nicolas Quérou & Patrick Rio & Mabel Tidball, 2007. "Multi-Party Negotiation When Agents Have Subjective Estimates of Bargaining Powers," Group Decision and Negotiation, Springer, vol. 16(5), pages 417-436, September.
  • Handle: RePEc:spr:grdene:v:16:y:2007:i:5:d:10.1007_s10726-006-9058-2
    DOI: 10.1007/s10726-006-9058-2
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    References listed on IDEAS

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    1. James K. Sebenius, 1992. "Negotiation Analysis: A Characterization and Review," Management Science, INFORMS, vol. 38(1), pages 18-38, January.
    2. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, September.
    3. Rausser, Gordon C. & Simon, L., 1990. "Noncooperative Model of Collective Decision Making: A Multilateral Bargaining Approach," Staff General Research Papers Archive 819, Iowa State University, Department of Economics.
    4. Heiskanen, Pirja & Ehtamo, Harri & Hamalainen, Raimo P., 2001. "Constraint proposal method for computing Pareto solutions in multi-party negotiations," European Journal of Operational Research, Elsevier, vol. 133(1), pages 44-61, August.
    5. Markku Kuula, 1998. "Solving Intra-Company Conflicts Using the RAMONA-Interactive Negotiation Support System," Group Decision and Negotiation, Springer, vol. 7(6), pages 447-464, November.
    6. Heiskanen, Pirja, 1999. "Decentralized method for computing Pareto solutions in multiparty negotiations," European Journal of Operational Research, Elsevier, vol. 117(3), pages 578-590, September.
    7. Ehtamo, Harri & Kettunen, Eero & Hamalainen, Raimo P., 2001. "Searching for joint gains in multi-party negotiations," European Journal of Operational Research, Elsevier, vol. 130(1), pages 54-69, April.
    8. Harri Ehtamo & Raimo P. Hämäläinen & Pirja Heiskanen & Jeffrey Teich & Markku Verkama & Stanley Zionts, 1999. "Generating Pareto Solutions in a Two-Party Setting: Constraint Proposal Methods," Management Science, INFORMS, vol. 45(12), pages 1697-1709, December.
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