https://oldena.lpnu.ua/handle/ntb/40254| Title: | On the interval game-theoretic solutions and their axiomatizations |
| Authors: | Palancı, Osman Sırma Zeynep Alparslan Gök Ayşen Gül Yılmaz Büyükyağcı |
| Affiliation: | Süleyman Demirel University |
| Bibliographic description (Ukraine): | Palancı O. On the interval game-theoretic solutions and their axiomatizations / Osman Palancı, Sırma Zeynep Alparslan Gök, Ayşen Gül Yılmaz Büyükyağcı // Litteris et Artibus : proceedings of the 6th International youth science forum, November 24–26, 2016, Lviv, Ukraine / Lviv Polytechnic National University. – Lviv : Lviv Polytechnic Publishing House, 2016. – P. 67–70. – Bibliography: 9 titles. |
| Conference/Event: | Litteris et Artibus |
| Issue Date: | 2016 |
| Publisher: | Lviv Polytechnic Publishing House |
| Country (code): | UA |
| Place of the edition/event: | Lviv |
| Keywords: | cooperative game theory uncertainty CIS-value ENSC-value ED-value |
| Number of pages: | 67-70 |
| Abstract: | Natural questions for people or businesses that face interval uncertainty in their data when dealing with cooperation are: Which coalitions should form? How to distribute the collective gains or costs? The theory of cooperative interval games is a suitable tool for answering these questions. In this paper, we introduced and characterizated the new interval solutions concepts, i.e. interval CIS-value, interval ENSC-value and interval equal division solution by using cooperative interval games. Finally, we characterizd these interval solutions for two-player games. |
| URI: | https://ena.lpnu.ua/handle/ntb/40254 |
| References (International): | [1] Alparslan Gök, S.Z., Branzei, R., Tijs, S., 2009. Convex Interval Games. Journal of Applied Mathematics and Decision Sciences, Article ID 342089, 14 pages. [2] Alparslan Gök, S.Z., Branzei, R., Tijs, S., 2010. The interval Shapley value: an axiomatization. Central Euro-pean Journal of Operations Research, 18(2), 131-140. [3] Alparslan Gök, S.Z., Miquel, S., Tijs, S., 2009. Cooperation under interval uncertainty. Mathematical Methods of Operations Research, 69, 99-109. [4] Branzei, R., Dimitrov, D., Tijs, S., 2008. Models in Cooperative Game Theory. Springer-Verlag, 204 pages, Berlin. [5] Driessen, T.S.H., Funaki, Y., 1991. Coincidence of and collinearity between game theoretic solutions. OR Spektrum, 13, 15-30. [6] Hans, P., 2008. Game Theory: A Multi-Leveled Approach. Springer-Verlag, Berlin Heidelberg, 494 pages, Berlin. [7] Moore, R., 1979. Methods and Applications of Interval Analysis. SIAM Studies in Applied Mathematics, 190 pages, Philadelphia. [8] Shapley, L.S., 1953. A value for n-person games. Annals of Mathematics Studies, 28, 307-317. [9] van den Brink, R., Funaki, Y., 2009. Axiomatizations of a class of equal surplus sharing solutions for cooperative games with transferable utility, Theory and Decision, 67, 303-340. |
| Content type: | Conference Abstract |
| Appears in Collections: | Litteris et Artibus. – 2016 р. |
| File | Description | Size | Format | |
|---|---|---|---|---|
| LEA-2016-67-70.pdf | 740.95 kB | Adobe PDF | View/Open |
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