This paper discusses the core of the game corresponding to the standard fixed tree problem. We introduce the concept of a weighted constrained egalitarian solution. The core of the standard fixed tree game equals the set of all weighted constrained egalitarian solutions. The notion of home-down allocation is developed to create further insight in the local behavior of the weighted constrained egalitarian allocation. A similar and dual approach by the notion of down-home allocations gives us the class of weighted Shapley values. The constrained egalitarian solution is characterized in terms of a cost sharing mechanism.
|Place of Publication||Tilburg|
|Number of pages||27|
|Publication status||Published - 1998|
|Name||CentER Discussion Paper|
- Cooperative game theory
- tree games
- weighted constrained egalitarian solution