Showing 1 - 10 of 457
This paper defines a measure of bargaining uncertainty that quantifies Roth's concept of strategic risk. It shows how this measure can be used for checking reliability of the Shapley value in cost allocation problems and in the theory of competitive equilibrium. Salient properties of the new...
Persistent link: https://www.econbiz.de/10014087498
economy. The set of Walrasian payoff vectors for our induced coalition production economy coincides with the inner core of the …
Persistent link: https://www.econbiz.de/10013114027
This chapter surveys some of the literature in game theory that has emerged from Shapley's seminal paper on the Value. The survey includes both contributions which offer different interpretations of the Shapley value as well as several different ways to characterize the value axiomatically. The...
Persistent link: https://www.econbiz.de/10014024492
coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value … all subsets of the player set N to form, it is assumed that the set of feasible coalitions is a subset of the power set of … N. In this paper we consider such sets of feasible coalitions that are closed under union, i.e. for any two feasible …
Persistent link: https://www.econbiz.de/10011383187
-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …
Persistent link: https://www.econbiz.de/10011377055
In this paper, we study different notions of stability for three-sided assignment games. Since the core may be empty in …-Morgenstern stable sets. The dominant diagonal property is necessary for the core to be a stable set, and also sufficient in the case … of the extended cores of all μ-compatible subgames, for a given optimal matching μ, is the core with respect to those …
Persistent link: https://www.econbiz.de/10012011087
uncertainty regarding the payoffs of coalitions. One out of a finite number of states of nature materializes and conditional on … commitment possibilities and propose the Weak Sequential Core as a solution concept. We characterize the Weak Sequential Core and …
Persistent link: https://www.econbiz.de/10010494469
We introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition … graph and the NT-solution coincides with the average tree solution. We also study core stability of the solutions and show … that both the HS-solution and NT-solution belong to the core under half-space supermodularity, which is a weaker condition …
Persistent link: https://www.econbiz.de/10014175740
is the same. We further give weak forms of convexity that are necessary and sufficient conditions for the core stability …
Persistent link: https://www.econbiz.de/10014177966
We study the relation between the fuzzy core and balancedness for fuzzy games. For regular games, this relation has … where the fuzzy game is continuous. Our main result shows that any fuzzy game has a non-empty core if and only if it …
Persistent link: https://www.econbiz.de/10014181648