Wspomaganie kooperacji z wykorzystaniem teorii gier i analizy wielokryterialnej

• Authors: Maciej Wolny

Title variants

EN

Cooperation Support Based on Game Theory and Multicriterial Analysis

• Languages of publication: PL

Abstracts

EN

In the paper an idea of cooperation supporting method based on game theory and multicriterial analysis. Because of taking into consideration a cooperation game with empty core an idea of supporting is based on Bondareva's and Shapley's conditions for non-emptyness of the core. There is defined a minimal value which should be added to payoff of great coalition. The minimal value should be profitable. Also an idea of multicriterial support for establish winnings for the players in cooperative game is presented. The problem is considered in case when ad hoc arrangement is irrational in meaning that the allocation of winnings is outside the core of the game. The proposal is based on concept of goal programming and reference point method. The proposed ideas are shown on example of cooperation problem of the three autonomous departments in enterprise.

Keywords

PL

Modele matematyczne; Teoria gier

EN

Mathematical models; Game theory

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego w Katowicach
• Journal: Studia Ekonomiczne
• Year: 2013
• Volume: 132
• Pages: 148-159

Contributors

author

Maciej Wolny

References

• Ameljańczyk A.: Optymalizacja wielokryterialna w problemach sterowania i zarządzania. Ossolineum, Wrocław 1984.
• Banzhaf J.: Weighted Voiting Doesn't Work: A Mathematical Analysis. "Rutgers Law Review" 1965, 19.
• Bondareva O.N.: Some Applications of Linear Programming Methods to the Theory of Cooperative Games (w jęz. rosyjskim). "Problemy Kibernetiky" 1963, 10, s. 119-139.
• Charnes A., Cooper W.W.: Goal Programming and Multiple Objective Optimization. "European Journal of Operational Research" 1977, 1, s. 1.
• Galas Z., Nykowski I., Żółkiewski Z.: Programowanie wielokryterialne. PWE, Warszawa 1987.
• Gately D.: Sharing the Gains from Regional Cooperation: A Game Theoretic Application to Planning Investment in Electric Power. "International Economic Review" 1974, 15.
• Griffin R.W.: Podstawy zarządzania organizacjami. Wydawnictwo Naukowe PWN, Warszawa 2008.
• Kaliszewski I.: Wielokryterialne podejmowanie decyzji. Obliczenia miękkie dla złożonych problemów decyzyjnych. WNT, Warszawa 2008.
• Konarzewska-Gubała E.: Programowanie przy wielorakości celów. PWN, Warszawa 1980.
• Littlechild S.C., Vaidya K.G.: The Propensity to Disruptand the Disruption Nucleolus of a Characteristic Function Game. "International Journal of Game Theory" 1976, 5, s. 151-161.
• Metody wielokryterialne na polskim rynku finansowym. Red. T. Trzaskalik. PWE, Warszawa 2006.
• Roy B.: Wielokryterialne wspomaganie decyzji. WNT, Warszawa 1990.
• Seo F., Sakawa M.: Multiple Criteria Decision Analysis in Regional Planning. Reidel, Dordrecht, MA, 1987.
• Schmeidler D.: The Nucleolus of a Characteristic Function Game. "SIAM Journal on Applied Mathematics" 1969, 17.
• Shapley L.S.: A Value for n-person Games. "Annales of Mathematical Studies" 1953, 28.
• Shapley L.S.: On Balanced Sets and Cores. "Naval Research Logistics Quarterly" 1967, 14, s. 453-460.
• Shapley L.S., Schubik M.: Quasi-cores in Monetary Economy with Non-convex Preferences. "Econometrica" 1966, 34, s. 805-827.
• Straffin P.D: Teoria gier. Scholar, Warszawa 2004.
• Young H.P., Okada N., Hashimoto T.: Cost Allocation in Water Resources Development - A Case Study of Sweden. RR 80-32, IIASA, Laxenburg, Austria 1980.
• Wierzbicki A.P.: A Reference Point Approach to Coalition Games. "Journal of Multicriteria Decision Analysis" 2005, 13.
• Williams M.J.: Synergy Works at American Express. "Fortune" z 16.2.1987, s. 79-80.

Identifiers

ISSN

2083-8611