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The class of Construct and Charge (CC-) rules for minimum cost spanning tree (mcst) situations is considered. CC-rules are defined starting from the notion of charge systems, which specify particular allocation protocols rooted on the Kruskal algorithm for computing an mcst. These protocols can...
Persistent link: https://www.econbiz.de/10010759515
Kalai and Zemel introduced a class of flow-games showing that these games have a non-empty core and that a minimum cut corresponds to a core allocation.  We consider flow-games with a finite number of players on a network with infinitely many arcs: assuming that the total sum of the capacities...
Persistent link: https://www.econbiz.de/10010759590
In this paper we consider standard fixed tree games, for which each vertex unequal to the root is inhabited by exactly one player. We present two weighted allocation rules, the weighted down-home allocation and the weighted neighbour-home allocation, both inspired by the painting story in...
Persistent link: https://www.econbiz.de/10010847491
Neighbor games arise from certain matching or sequencing situations in which only some specific pairs of players can obtain a positive gain. As a consequence, the class of neighbor games is the intersection of the class of assignment games (Shapley and Shubik (1972)) and the class of component...
Persistent link: https://www.econbiz.de/10010847580
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 ψ α -values are introduced and characterizations are given....
Persistent link: https://www.econbiz.de/10010847608
This note introduces a new monotonicity property for sequencing situations. A sequencing rule is called drop out monotonic if no player will be worse off whenever one of the players decides to drop out of the queue before processing starts. This intuitively appealing property turns out to be...
Persistent link: https://www.econbiz.de/10010847723
This paper considers a refinement of equilibria for multicriteria games based on the perfectness concept of Selten (1975). Existence of perfect equilibrium points is shown and several characterizations are provided. Furthermore, contrary to the result for equilibria for multicriteria games, an...
Persistent link: https://www.econbiz.de/10010847744
In this paper we look at semi-infinite assignment problems. These are situations where a finite set of agents of one type has to be assigned to an infinite set of agents of another type. This has to be done in such a way that the total profit arising from these assignments is as large as...
Persistent link: https://www.econbiz.de/10010847782
Finite potential games are determined, i.e have Nash equilibria in pure strategies. In this paper we investigate the determinateness of potential games, in which one or more players have infinitely many pure strategies. Copyright Springer-Verlag Berlin Heidelberg 1998
Persistent link: https://www.econbiz.de/10010847796
This paper studies information collecting (IC) situations with the help of cooperative game theory. Relations are established between IC situations and IC games on one hand and information sharing (IS) situations and IS games on the other hand. Further, it is shown that IC games are convex...
Persistent link: https://www.econbiz.de/10010847958