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Supporting Negotiations over Influence Diagrams

Author

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  • Jesus Rios

    (Manchester Business School, University of Manchester, Manchester M15 6PB, United Kingdom)

  • David Rios Insua

    (Spanish Royal Academy of Sciences, 28004 Madrid, Spain)

Abstract

We deal with issues concerning negotiation support for group decisions over influence diagrams, when the group members disagree about utility and probability assessments. We base our discussion on a modification of the balanced increment solution, which guarantees a final negotiated Pareto optimal alternative. As in standard decision analysis textbooks, we deal first with negotiation tables, then with negotiation trees, and finally with negotiation influence diagrams. We show through an example that a naive application of the balanced increment method at each joint decision node in a dynamic decision-making problem, and, more generally, of any standard negotiation approach guaranteeing Pareto optimality, may lead to an inferior solution. Therefore, our strategy proposes computing first the set of nondominated alternatives followed by negotiating over that set.

Suggested Citation

  • Jesus Rios & David Rios Insua, 2009. "Supporting Negotiations over Influence Diagrams," Decision Analysis, INFORMS, vol. 6(3), pages 153-171, September.
  • Handle: RePEc:inm:ordeca:v:6:y:2009:i:3:p:153-171
    DOI: 10.1287/deca.1090.0152
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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. Koller, Daphne & Milch, Brian, 2003. "Multi-agent influence diagrams for representing and solving games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 181-221, October.
    3. Conley, John P. & Wilkie, Simon, 1991. "The bargaining problem without convexity : Extending the egalitarian and Kalai-Smorodinsky solutions," Economics Letters, Elsevier, vol. 36(4), pages 365-369, August.
    4. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    5. Anant, T. C. A. & Mukherji, Badal & Basu, Kaushik, 1990. "Bargaining without convexity : Generalizing the Kalai-Smorodinsky solution," Economics Letters, Elsevier, vol. 33(2), pages 115-119, June.
    6. Apiruk Detwarasiti & Ross D. Shachter, 2005. "Influence Diagrams for Team Decision Analysis," Decision Analysis, INFORMS, vol. 2(4), pages 207-228, December.
    7. Ross D. Shachter, 1986. "Evaluating Influence Diagrams," Operations Research, INFORMS, vol. 34(6), pages 871-882, December.
    8. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-1336, November.
    9. Michael Bacharach, 1975. "Group Decisions in the Face of Differences of Opinion," Management Science, INFORMS, vol. 22(2), pages 182-191, October.
    10. Ross D. Shachter, 1988. "Probabilistic Inference and Influence Diagrams," Operations Research, INFORMS, vol. 36(4), pages 589-604, August.
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    Cited by:

    1. Jason R. W. Merrick & Fabrizio Ruggeri & Refik Soyer & L. Robin Keller, 2012. "From the Editors---Games and Decisions in Reliability and Risk," Decision Analysis, INFORMS, vol. 9(2), pages 81-85, June.
    2. Rufo, M.J. & Martín, J. & Pérez, C.J., 2016. "A Bayesian negotiation model for quality and price in a multi-consumer context," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 132-141.
    3. L. Robin Keller, 2012. "From the Editor---Decisions over Time (Exploding Offers or Purchase Regret), in Game Settings (Embedded Nash Bargaining or Adversarial Games), and in Influence Diagrams," Decision Analysis, INFORMS, vol. 9(1), pages 1-5, March.
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    5. L. Robin Keller, 2009. "From the Editor..," Decision Analysis, INFORMS, vol. 6(3), pages 121-123, September.
    6. Rakesh K. Sarin & L. Robin Keller, 2013. "From the Editors ---Group Decisions, Preference Elicitation, Experienced Utility, Survival Probabilities, and Portfolio Value of Information," Decision Analysis, INFORMS, vol. 10(2), pages 99-102, June.

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