The Shapley value for directed graph (digraph) games, TU games with limited cooperation introduced by an arbitrary digraph prescribing the dominance relation among the players, is...
The expected utility knapsack problem is to pick a set of items whose values are described by random variables so as to maximize the expected utility of the total value of the ite...
It is well-known that the intersection of the matching polytope with a cardinality constraint is integral [8]. We prove a similar result for the polytope corresponding to the tran...
Matthias Walter, Pelin Damci-Kurt, Santanu S. Dey,...
We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalenc...
Dorais asked for the maximum guaranteed size of a dimension d subposet of an n-element poset. A lower bound of order √ n was found by Goodwillie. We provide a sublinear upper bou...