Abstract— A number of recent results on optimization problems involving submodular functions have made use of the ”multilinear relaxation” of the problem [3], [8], [24], [14]...
— We study the complexity of rationalizing network formation. In this problem we fix an underlying model describing how selfish parties (the vertices) produce a graph by making...
Given a set A of m agents and a set I of n items, where agent A ∈ A has utility uA,i for item i ∈ I, our goal is to allocate items to agents to maximize fairness. Specificall...
Deeparnab Chakrabarty, Julia Chuzhoy, Sanjeev Khan...
In the classical balls-and-bins paradigm, where n balls are placed independently and uniformly in n bins, typically the number of bins with at least two balls in them is Θ(n) and ...
We consider the Item Pricing problem for revenue maximization in the limited supply setting, where a single seller with n items caters to m buyers with unknown subadditive valuati...