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The core cover of a TU-game is a superset of the core and equals the convex hull of its larginal vectors. A larginal … called compromise stable if the core is equal to the core cover, i.e. the core is the convex hull of the larginal vectors. In … larginal vector of the set is a core element, then the game is compromise stable. The first characterization of these sets is …
Persistent link: https://www.econbiz.de/10014181798
of coalitions are explicitly taken into account. We formulate conditions under which it leads to a core element and …
Persistent link: https://www.econbiz.de/10012957744
, it is shown that a decreasing unit price function is a sufficient condition for a non-empty core: the Direct Price … solution is both a core element and a marginal vector. It is seen that the nucleolus of an MCP-game can be derived in …
Persistent link: https://www.econbiz.de/10013107420
If the excesses of the coalitions in a transferable utility game are weighted, then we show that the arising weighted modifications of the well-known (pre)nucleolus and (pre)kernel satisfy the equal treatment property if and only if the weight system is symmetric in the sense that the weight of...
Persistent link: https://www.econbiz.de/10013087342
This paper revisits the Alexia value, a recent solution concept for cooperative transferable utility games. We introduce the dual Alexia value and show that it coincides with the Alexia value for several classes of games. We demonstrate the importance of the notion of compromise stability for...
Persistent link: https://www.econbiz.de/10012729181
theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such …
Persistent link: https://www.econbiz.de/10014196913
representation we also define a generalized Bird allocation which we show to be in the core of the corresponding appropriate …
Persistent link: https://www.econbiz.de/10014171035
This paper introduces cooperative games arising from multi-depot Chinese postman problems and explores the properties of these games. A multi-depot Chinese postman problem (MDCP) is represented by a connected (di)graph G, a set of k depots that is a subset of the vertices of G, and a...
Persistent link: https://www.econbiz.de/10013088121
family sequencing game has a non-empty core by showing that a particular marginal vector belongs to the core.Finally, we …
Persistent link: https://www.econbiz.de/10013106485
Using network control structures this paper introduces network communication games as a generalization of vertex games and edge games corresponding to communication situations and studies their decomposition into unanimity games. We obtain a relation between the dividends of the network...
Persistent link: https://www.econbiz.de/10013010479