Some results on cooperative interval games

Date

2014-01-02

Author

ALPARSLAN GÖK, Sırma Zeynep

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

211
views

0
downloads

Uncertainty is a daily presence in the real world. It affects our decision-making and may have influence on cooperation. On many occasions, uncertainty is so severe that we can only predict some upper and lower bounds for the outcome of our actions, i.e. payoffs lie in some intervals. A suitable game theoretic model to support decision-making in collaborative situations with interval data is that of cooperative interval games. Solution concepts that associate with each cooperative interval game sets of interval allocations with appealing properties provide a natural way to capture the uncertainty of coalition values into the players' payoffs. In this paper, the relations between some set-valued solution concepts using interval payoffs, namely the interval core, the interval dominance core, the square interval dominance core and the interval stable sets for cooperative interval games, are studied. It is shown that the interval core is the unique stable set on the class of convex interval games.

Subject Keywords

Management Science and Operations Research, Control and Optimization, Applied Mathematics

URI

https://hdl.handle.net/11511/63688

DOI

https://doi.org/10.1080/02331934.2013.784765

Collections

Graduate School of Applied Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

Cooperative games under interval uncertainty: on the convexity of the interval undominated cores Branzei, R.; ALPARSLAN GÖK, Sırma Zeynep; Branzei, O. (Springer Science and Business Media LLC, 2011-12-01) Uncertainty is a daily presence in the real world. It affects our decision making and may have influence on cooperation. Often uncertainty is so severe that we can only predict some upper and lower bounds for the outcome of our actions, i.e., payoffs lie in some intervals. A suitable game theoretic model to support decision making in collaborative situations with interval data is that of cooperative interval games. Solution concepts that associate with each cooperative interval game sets of interval allocat...
On dominance core and stable sets for cooperative ellipsoidal games ALPARSLAN GÖK, Sırma Zeynep; Weber, Gerhard Wilhelm (Informa UK Limited, 2013-10-01) The allocation problem of rewards or costs is a central question for individuals and organizations contemplating cooperation under uncertainty. The involvement of uncertainty in cooperative games is motivated by the real world where noise in observation and experimental design, incomplete information and further vagueness in preference structures and decision-making play an important role. The theory of cooperative ellipsoidal games provides a new game theoretical angle and suitable tools for answering this...
AN APPLICATION OF CRYPTO CLOUD COMPUTING IN SOCIAL NETWORKS BY COOPERATIVE GAME THEORY Ergun, Serap; KIRLAR, Barış Bülent; ALPARSLAN GÖK, Sırma Zeynep; Weber, Gerhard Wilhelm (American Institute of Mathematical Sciences (AIMS), 2020-07-01) In this paper, we mathematically associate Crypto Cloud Computing, that has become an emerging research area, with Cooperative Game Theory in the presence of uncertainty. In the sequel, we retrieve data from the database of Amazon Web Service. The joint view upon Crypto Cloud Computing, Cooperative Game Theory and Uncertainty management is a novel approach. For this purpose, we construct a cooperative interval game model and apply this model to Social Networks. Then, we suggest some interval solutions relat...
RMARS: Robustification of multivariate adaptive regression spline under polyhedral uncertainty Ozmen, Ayse; Weber, Gerhard Wilhelm (Elsevier BV, 2014-03-15) Since, with increased volatility and further uncertainties, financial crises translated a high "noise" within data from financial markets and economies into the related models, recent years' events in the financial world have led to radically untrustworthy representations of the future. Hence, robustification started to attract more attention in finance. The presence of noise and data uncertainty raises critical problems to be dealt with on the theoretical and computational side. For immunizing against para...
Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns Ghoreishi, M.; Mirzazadeh, A.; Weber, Gerhard Wilhelm (Informa UK Limited, 2014-01-01) This paper deals with an economic production quantity inventory model for non-instantaneous deteriorating items under inflationary conditions considering customer returns. We adopt a price-and time-dependent demand function. Also, the customer returns are considered as a function of both price and demand. The effects of time value of money are studied using the Discounted Cash Flow approach. The main objective is to determine the optimal selling price, the optimal replenishment cycles, and the optimal produ...

Citation Formats

S. Z. ALPARSLAN GÖK, “Some results on cooperative interval games,” 2014, vol. 63, p. 7, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63688.