A multi-criteria optimization approach to modeling negotiation process

Authors

  • Andrzej Łodziński Faculty of Applied Informatics and Mathematics Chair of Econometrics and Computer Science Warsaw University of Life Sciences

DOI:

https://doi.org/10.7494/dmms.2018.12.1-2.33

Keywords:

negotiation process, multi-criteria optimization, equitably efficient decision, achievement function, set of negotiations, method for solution selection

Abstract

The paper presents a multi-criteria optimization approach to modeling negotiation process. The negotiation process is modeled as a special multi-criteria problem. The method for finding solutions is the interactive selection process of some proposals. The parties shall submit their proposals on the subjects of the negotiations. These proposals are parameters of the multi-criteria optimization problem. Selection of solutions is accomplished by solving the optimization problem with parameters that define the aspirations of each party involved in the negotiations. Finally, evaluation of the solutions obtained by the parties is made.

References

Bertsimas, D., Farias, V.F., Trichakis, N., 2011. The price of fairness. Operations Research, 59(1), pp. 17–31.

Kostreva, M., Ogryczak, W., Wierzbicki, A.P., 2005. Equitable Aggregation and Multiple Criteria Analysis. European Journal of Operational Research, 158, pp. 362–377.

Lewandowski, A., Wierzbicki, A.P. (eds.), 1989. Aspiration Based Decision Support Systems.

Lecture Notes in Economics and Mathematical Systems, 331, Springer-Verlag, Berlin – Heidelberg.

Luce, D., Raiffa, H., 1964. Gry i decyzje [Games and decisions. Introduction and Critical Survey], PWN, Warszawa.

Łodzinski, A., 2007. System wspomagania decydenta w podejmowaniu decyzji zadawalających [Decision support system for satisfying decisions]. In: Zarzadzanie przedsiębiorstwem: teoria i praktyka. Jubileuszowa X Międzynarodowa Konferencja Naukowa, Kraków, 22–23 listopada 2007, Wydział Zarzadzania, Akademia Górniczo-Hutnicza, Uczelniane Wydawnictwa Naukowo-Dydaktyczne AGH, Kraków, pp. 159–165.

Malawski, M., Wieczorek, A., Sosnowska, H., 1997. Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych. Wydawnictwo Naukowe PWN, Warszawa.

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.

Raiffa, H., Richardson, I., Metcalfe, D., 2003. Negotiation Analysis. The Science and Art of Collaborative. Harvard University Press, Cambridge.

Roszkowska, E., 2011. Wybrane modele negocjacji. Wydawnictwo Uniwersytetu w Białymstoku, Białystok.

Straffin, D.Ph., 2004. Teoria gier, tłum. J. Haman. Wydawnictwo Naukowe Scholar, Warszawa.

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.

Wierzbicki, A.P. 1982. A mathematical basis for satisficing decision making. Mathematical Modelling, 3(5), pp. 391–405.

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Published

2019-04-01

How to Cite

Łodziński, A. (2019). A multi-criteria optimization approach to modeling negotiation process. Decision Making in Manufacturing and Services, 12, 33–44. https://doi.org/10.7494/dmms.2018.12.1-2.33

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Articles