Abstract
A decision situation is considered in which two decision makers negotiate cooperation conditions to realize a joint project. Each decision maker has his own set of criteria measuring results of the cooperation. The situation is modeled as the multicriteria bargaining problem. A special multiround mediation procedure is presented which can be implemented in a computer-based system. According to the procedure the system supports multicriteria analysis made by the decision makers and generates mediation proposals. The mediation proposals are derived on the basis of the original solution to the multicriteria problem, presented in the paper. The solution expresses preferences of the decision makers. It generalizes the classic Nash solution concept on the multicriteria case.
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References
Fisher, R., Ury, W.: Getting to Yes. Hougton Mifflin, Boston (1981)
Imai, H.: Individual Monotonicity and Lexicographical Maxmin Solution. Econometrica 51, 389–401 (1983)
Kalai, E., Smorodinsky, M.: Other Solutions to Nash’s Bargaining Problem. Econometrica 43, 513–518 (1975)
Kruś, L.: Computer-based support in multicriteria bargaining with the use of the generalized raiffa solution concept. In: Angelov, P., et al. (eds.) Intelligent Systems 2014. AISC, vol. 322, pp. 117–128. Springer, Heidelberg (2015)
Kruś, L.: Multicriteria cooperative decisions, methods of computer-based support (in Polish: wielokryterialne decyzje kooperacyjne, metody wspomagania komput- erowego). Badania systemowe, vol. 70, p. 248 Warsaw, Systems Research Institute, Polish Academy of Sciences (2011)
Kruś, L.: Multicriteria decision support in bargaining, a problem of players’s manipulations. In: Trzaskalik, T., Michnik, J. (eds.) Multiple Objective and Goal Programming Recent Developments, pp. 143–160. Physica verlag, Heidelberg (2001)
Kruś, L.: Multicriteria Decision Support in Negotiations. Control and Cybernetics 25(6), 1245–1260 (1996)
Kruś, L., Bronisz, P.: Some new results in interactive approach to multicriteria bargaining. In: Wierzbicki, A.P., et al. (eds.) User Oriented Methodology and Techniques of Decision Analysis. Lecture Notes in Economics and Mathematical Systems, vol. 397, pp. 21–34. Springer, Berlin (1993)
Moulin, H.: Axioms of Cooperative Decision Making. Cambridge University Press, Cambridge (1988)
Nash, J.F.: The Bargaining Problem. Econometrica 18, 155–162 (1950)
Nash, J.F.: Two-Person Cooperative Games. Econometrica 21, 129–140 (1953)
Peters, H.: Bargaining Game Theory. Ph.D. Thesis, Catholic University of Nijmegen, The Nederlands (1986)
Raiffa, H.: Arbitration Schemes for Generalized Two-Person Games. Annals of Mathematics Studies (28), 361–387. Princeton (1953)
Raiffa, H.: The Art and Science of Negotiations. Harvard Univ. Press, Cambridge (1982)
Roth, A.E.: Axiomatic Model of Bargaining. Lecture Notes in Economics and Mathematical Systems, vol. 170. Springer, Berlin (1979)
Thomson, W.: Two Characterization of the Raiffa Solution. Economic Letters 6, 225–231 (1980)
Wierzbicki, A.P.: On the Completeness and Constructiveness of Parametric Characterizations to Vector Optimization Problems. OR Spectrum 8, 73–87 (1986)
Wierzbicki, A.P., Makowski, M., Wessels, J.: Model-based Decision Support Methodology with Environmental Applications. Kluwer Academic Press, Dordrecht (2000)
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Kruś, L. (2015). Supporting Cooperative Decisions with a Multicriteria Generalization of the Nash Solution. In: Núñez, M., Nguyen, N., Camacho, D., Trawiński, B. (eds) Computational Collective Intelligence. Lecture Notes in Computer Science(), vol 9330. Springer, Cham. https://doi.org/10.1007/978-3-319-24306-1_19
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DOI: https://doi.org/10.1007/978-3-319-24306-1_19
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