Date : Feb. 5, 2015, 2 p.m. - Room :Amphi Garcia

Games on concept lattices.

Michel GRABISCH - Université Paris I Panthéon-Sorbonne, Paris School of Economics

We introduce cooperative TU-games on concept lattices, where a concept is a pair (S,S’) with S being a subset of players or objects, and S’ a subset of attributes. Any such game induces a game on the set of players/objects, which appears to be a TU-game whose collection of feasible coalitions is a lattice closed under intersection and a game on the set of attributes. We investigate the geometrical properties of the core (nonemptiness, boundedness, pointedness, extremal rays).