Cooperation under interval uncertainty

Alparslan-Goek, S. Zeynep
Miquel, Silvia
Tijs, Stef H.
In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions called psi(alpha)-values are introduced and characterizations are given.


An Axiomatization of the Interval Shapley Value and on Some Interval Solution Concepts
PALANCI, Osman; ALPARSLAN GÖK, Sırma Zeynep; Weber, Gerhard Wilhelm (2014-06-27)
The Shapley value, one of the most common solution concepts in Operations Research applications of cooperative game theory, is defined and axiomatically characterized in different game-theoretical models. In this paper, we focus on the Shapley value for cooperative games where the set of players is finite and the coalition values are compact intervals of real numbers. In this study, we study the properties of the interval Shapley value on the class of size monotonic interval games, and axiomatically charact...
Cooperative grey games and the grey Shapley value
PALANCI, Osman; PALANCI, Osman; Ergun, S.; Weber, Gerhard Wilhelm (2015-08-03)
This contribution is located in the common area of operational research and economics, with a close relation and joint future potential with optimization: game theory. We focus on collaborative game theory under uncertainty. This study is on a new class of cooperative games where the set of players is finite and the coalition values are interval grey numbers. An interesting solution concept, the grey Shapley value, is introduced and characterized with the properties of additivity, efficiency, symmetry and d...
Imitation as the Simplest Strategy for Cooperation
Durmus, Yunus; Onur, Ertan (2012-01-01)
Ad hoc networks comprise independent cooperative nodes which work together to constitute a system having a value greater than the sum of the values of the individual components. The nodes cooperate to gain access to the medium or to establish a messaging infrastructure by relaying foreign packets. However, when nodes in an ad hoc network operate autonomously without a central authority, they tend to defect, e.g., do not forward each other's packets following the game theoretic analysis. External mechanisms ...
Proof of the basic theorem on concept lattices in Isabelle/HOL
Sertkaya, Barış; Oğuztüzün, Mehmet Halit S.; Tiefenbach, Andreas; Department of Computer Engineering (2003)
Formel Concept Analysis is an emerging field of applied mathematics based on a lattice-theoretic formalization of the notions of concept and conceptual hierarchy. It thereby facilitates mathematical thinking for conceptual data analysis and knowledge processing. Isabelle, on the other hand, is a generic interactive theory development environment for implementing logical formalisms. It has been instantiated to support reasoning in several object-logics. Specialization of Isabelle for Higher Order Logic is ca...
Two-Person Zero-Sum Communicating Stochastic Games
Avşar, Zeynep Müge (1997-10-26)
For undiscounted two-person zero-sum communicating stochastic games with finite state and action spaces, a solution procedure is proposed that exploits the communication property, i.e., working with irreducible games over restricted strategy spaces. The proposed procedure gives the value of the communicating game with an arbitrarily small error when the value is independent of the initial state.
Citation Formats
S. Z. Alparslan-Goek, S. Miquel, and S. H. Tijs, “Cooperation under interval uncertainty,” MATHEMATICAL METHODS OF OPERATIONS RESEARCH, pp. 99–109, 2009, Accessed: 00, 2020. [Online]. Available: