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The role of multi-objective optimization in negotiation and mediation support

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Abstract

The paper reviews the methodology of multi-objective modeling and optimization used in decision support based on computerized analytical models (as opposed to logical models used in expert systems) that represent expert knowledge in a given field. The essential aspects of this methodology relate to its flexibility: modeling and optimization methods are treated not as goals in themselves but as tools that help a sovereign user (an analyst or a decision maker) to interact with the model, to generate and analyze various decision options, to learn about possible outcomes of these decisions. Although the applications of such methods in negotiation and mediation support is scarce yet, their flexibility increases essentially the chances of such applications. Various aspects of negotiation and mediation methods related to multi-objective optimization and game theory are also reviewed. A possible application of the MCBARG system for supporting negotiation related to the acid rain problem is briefly summarized.

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References

  • Alcamo, J., Shaw, R., and Hordijk, L.: 1990,The Rains Model of Acidification. Dordrecht: Kluwer Academic Publ.

    Google Scholar 

  • Axelrod, R.: 1984,The Evolution of Cooperation. New York: Basic Books.

    Google Scholar 

  • Fandel, G.: 1979,Optimale Entscheidungen in Organizationen. Heidelberg: Springer-Verlag.

    Google Scholar 

  • Fandel, G. and Wierzbicki, A.: 1985, Personal communication.

  • Fisher, R. and Ury, W.: 1981,Getting to Yes: Negotiating Agreement Without Giving In. Boston: Houghton Mifflin.

    Google Scholar 

  • Grauer, M., Lewandowski, A., and Schrattenholzer, L.: 1982, ‘Use of the reference level approach for the generation of efficient energy supply strategies’. WP-82-19, IIASA, Laxenburg.

    Google Scholar 

  • Kalai, E. and Smorodinsky, M.: 1975, ‘Other solutions to Nash's bargaining problem’,Econometrica 43, 513–518.

    Google Scholar 

  • Kallio, M., Lewandowski, A., and Orchard-Hays, W.: 1980, ‘An implementation of the reference point approach for multi-objective optimization’. WP-80-35, IIASA, Laxenburg.

    Google Scholar 

  • Kruś, L. and Bronisz, P.: 1991, ‘Some new results in interactive approach to multicriteria bargaining’, in Proc. IIASA Workshop on User-Oriented Methodology and Techniques of Decision Analysis and Support, Serock near Warsaw, Poland, Sept. 9–13.

  • Kruś, L.: 1992, ‘Multicriteria mediation support’. CP-93-00, IIASA, Laxenburg (to appear).

    Google Scholar 

  • Kruś, L. and Lopuch, B.: 1990, ‘MCBARG—Enhanced, A System Supporting Multicritieria Bargaining’, CP-90-06, IIASA, Laxenburg, Austria.

    Google Scholar 

  • Kurzhanski, A.B.: 1986, ‘Inverse problems in multiobjective stochastic optimization’, in Y. Sawaragi, K. Inue and H. Nakayama (Eds.),Towards Interactive and Intelligent Decision Support Systems, Berlin-Heidelberg: Springer-Verlag.

    Google Scholar 

  • Lewandowski, A. and Wierzbicki, A.P. (eds.):Aspiration-Based Decision Support Systems. Lecture Notes in Economic and Mathematical Systems, Vol. 331. Berlin-Heidelberg: Springer-Verlag.

  • Makowski, M.: 1991, ‘Selected issues on design and implementation of decision support systems’. WP-91-16, IIASA, Laxenburg, Austria.

    Google Scholar 

  • Makowski, M. and Sosnowski, J.: 1989, ‘HYBRID: A mathematical programming package’, in A. Lewandowski and A. Wierzbicki (Eds.),Aspiration-Based Decision Support Systems. Lecture Notes in Economic and Mathematical Systems, Vol. 331. Berlin-Heidelberg: Springer-Verlag.

    Google Scholar 

  • Messner, S.: 1985, ‘Natural gas trade in Europe and interactive decision analysis’, in G. Fandelet al. (Eds.),Large Scale Modeling and Interactive Decision Analysis. Berlin-Heidelberg: Springer-Verlag.

    Google Scholar 

  • Nash, J.F.: 1950, ‘The bargaining problem’,Econometrica 18, 155–162.

    Google Scholar 

  • Raiffa, H.: 1982,The Art and Science of Negotiations. Cambridge: Harvard Univ. Press.

    Google Scholar 

  • Rapoport, A.: 1989,Decision Theory and Decision Behavior. Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Roth, A.E.: 1979,Axiomatic Models of Bargaining. Lecture Notes in Economics and Mathematical Systems 170, Berlin: Springer-Verlag.

    Google Scholar 

  • Sawaragi, Y., Nakayama, H., and Tanino, T.: 1985,Theory of Multiobjective Optimization. Orlando, Fl: Academic Press.

    Google Scholar 

  • Seo, F. and Sakawa, M.: 1988,Multiple Criteria Decision Analysis in Regional Planning: Concepts, Methods and Applications. Dordrecht: D. Reidel Publishing Company.

    Google Scholar 

  • Steuer, R.E.: 1986,Multiple Criteria Optimization: Theory, Computation and Application. New York: J. Wiley.

    Google Scholar 

  • Thomson, W.: 1986, ‘The axiomatic theory of bargaining’. Unpublished manuscript based on lectures delivered at the University of Rochester.

  • Wierzbicki, A.P.: 1989, ‘Multiobjective decision support for simulated gaming’. In A.G. Lockett and G. Islei (Eds.),Improving Decision Making in Organizations, Proceedings, Manchester 1988. Berlin-Heidelberg: Springer-Verlag.

    Google Scholar 

  • Wierzbicki, A.P.: 1990, ‘Multiple criteria solutions in noncooperative game theory. Part III: Theoretical foundations’. Kyoto Institute of Economic Research, Discussion Paper No. 288.

  • Wierzbicki, A.P. and Makowski, M.: 1992, ‘Multi-objective optimization in negotiation support. WP-92-007, IIASA, Laxenburg.

    Google Scholar 

  • Yu, P.L.: 1985,Multiple-Criteria Decision Making — Concepts, Techniques and Extensions. New York and London: Plenum Press.

    Google Scholar 

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Wierzbicki, A.P., Kruś, L. & Makowski, M. The role of multi-objective optimization in negotiation and mediation support. Theor Decis 34, 201–214 (1993). https://doi.org/10.1007/BF01075189

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