This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.
|Place of Publication||Tilburg|
|Number of pages||12|
|Publication status||Published - 2007|
|Name||CentER Discussion Paper|
- Multi-choice games
- Convex games
- Marginal games
- Weber set
- Monotonic allocation schemes.