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This paper introduces a new solution concept for cooperative games with general coalitional structure in which only certain sets of players, including the set of all players, are able to form feasible coalitions. The solution concept takes into account the marginal contribution of players. This...
Persistent link: https://www.econbiz.de/10013088770
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
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
introduced, under which the value is guaranteed to be an element of the core. For games with complete graph communication the …
Persistent link: https://www.econbiz.de/10013097263
, 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
In the literature various models of games with restricted cooperation can be found. In those models, instead of allowing for all subsets of the set of players to form, it is assumed that the set of feasible coalitions is a proper subset of the power set of the set of players. In this paper we...
Persistent link: https://www.econbiz.de/10013088777
-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/10012723213
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