Multi-Criteria Optimization Approach to Modeling Negotiation Process
DOI:
https://doi.org/10.7494/dmms.2018.12.1-2.33Keywords:
negotiation process, multi-criteria optimization, equitably efficient decision, achievement function, set of negotiations, method for solution selectionAbstract
This paper presents a multi-criteria optimization approach for modeling the negotiation process. The negotiation process is modeled as a special multi-criteria problem. The method of finding solutions involves a process of the interactive selection of certain proposals. The parties submit proposals concerning the subjects of the negotiations; these proposals constitute the parameters of the multi-criteria optimization problem. Selecting the solutions is accomplished by solving the optimization problem using the parameters that define the aspirations of each party to the negotiations. Finally, the solutions reached by the parties are evaluated.
References
Bertsimas D., Farias V.F. & Trichakis N. (2011). The price of fairness. Operations Research, 59(1), pp. 17–31. DOI: https://doi.org/10.1287/opre.1100.0865.
Kostreva M.M., Ogryczak W. & Wierzbicki A.P. (2004). Equitable aggregations in multiple criteria analysis. European Journal of Operational Research, 158(2), pp. 362–377. DOI: https://doi.org/10.1016/j.ejor.2003.06.010.
Lewandowski A. & Wierzbicki A.P. (Eds.). (1989). Aspiration Based Decision Support Systems: Theory, Software and Applications. Lecture Notes in Economics and Mathematical Systems, 331. Berlin–Heidelberg: Springer-Verlag. DOI: https://doi.org/10.1007/978-3-662-21637-8.
Luce R.D. & Raiffa H. (1964). Gry i decyzje [Games and Decisions: Introduction and Critical Survey]. Translated by J. Kucharczyk. Warszawa: Państwowe Wydawnictwo Naukowe.
Łodziński A. (2007). System wspomagania decydenta w podejmowaniu decyzji zadawalających [Decision support system for satisfying decisions]. In: Zarządzanie przedsiębiorstwem: teoria i praktyka. Jubileuszowa X Międzynarodowa Konferencja Naukowa, Kraków, 22–23 listopada 2007. Kraków: Wydział Zarządzania AGH, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, pp. 159–165.
Malawski M., Wieczorek A. & Sosnowska H. (1997). Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych. Warszawa: Wydawnictwo Naukowe PWN.
Ogryczak W. (2002). Multiple criteria optimization and decisions under risk. Control and Cybernetics, 31(4), pp. 975–1003.
Ogryczak W., Wierzbicki A.P. & Milewski M. (2008). A multi-criteria approach to fair and efficient bandwidth allocation. Omega, 36(3), pp. 451–463. DOI: https://doi.org/10.1016/j.omega.2005.12.005.
Raiffa H., Richardson J. & Metcalfe D. (2003). Negotiation Analysis: The Science and Art of Collaborative Decision Making. Cambridge, MA: Harvard University Press.
Roszkowska E. (2011). Wybrane modele negocjacji. Białystok: Wydawnictwo Uniwersytetu w Białymstoku.
Straffin P.D. (2004). Teoria gier. 2nd Edition. Translated by J. Haman. Warszawa: Wydawnictwo Naukowe Scholar.
Yager R.R. (1988). On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man, and Cybernetics, 18(1), pp. 183–190. DOI: https://doi.org/10.1109/21.87068.
Wierzbicki A.P. (1982). A mathematical basis for satisficing decision making. Mathematical Modelling, 3(5), pp. 391–405. DOI: https://doi.org/10.1016/0270-0255(82)90038-0.