114 research outputs found
A Composite Run-to-the-Bank Rule for Multi-Issue Allocation Situations
Full text linkIn this paper, we propose a new extension of the run-to-the-bank rule for bankruptcy situations to the class of multi-issue allocation situations.We show that this rule always yields a core element and that it satisfies self-duality. We characterise our rule by means of a new consistency property, issue-consistency.allocation;bankruptcy;cooperative games;consistency
Inheritance of Properties in NTU Communication Situations
Full text linkIn this paper we consider communication situations in which utility is nontransferable. We compare this model with the more familiar model of transferable utility communication situations and point out an odd feature of the latter. We mainly focus on the inheritance of properties of the underlying game to the graph-restricted game
Nash Equilibria in 2 × 2 × 2 Trimatrix Games with Identical Anonymous Best-Replies
Full text linkThis paper introduces the class of 2 × 2 × 2 trimatrix games with identical anonymous best-replies. For this class a complete classification on the basis of the Nash equilibrium set is provided.trimatrix games;Nash equilibrium;best-reply correspondences;symmetric games
Cooperation and allocation
Full text linkThis thesis deals with various models of cooperation, including games with transferable utility, games with nontransferable utility, bankruptcy situations, communication situations, spillover games and sequencing situations. The focus is on analysing rules for dividing the profits of cooperation. This analysis is performed in terms of properties that one might require of such an allocation mechanism. In addition, properties of the underlying situations and games are studied
The Two-stage Constrained Equal Awards and Losses Rules for Multi-Issue Allocation Situation
Full text linkThis paper considers two-stage solutions for multi-issue allocation situations.Characterisations are provided for the two-stage constrained equal awards and constrained equal losses rules, based on the properties of composition and path independence.multi-issue allocation situations;constrained equal awards;constrained equal losses;two-stage solutions
- …
