8 citations · 10 across the 11 of their papers we have counts for
5 papers · 1 filter
Tractable Fragments of the Maximum Nash Welfare Problem
Jugal Garg, Edin Husić, Aniket Murhekar +1
We study the problem of maximizing Nash welfare (MNW) while allocating indivisible goods to asymmetric agents. The Nash welfare of an allocation is the weighted geometric mean of a…
On Circuit Diameter Bounds via Circuit Imbalances
Daniel Dadush, Zhuan Khye Koh, Bento Natura +1
We study the circuit diameter of polyhedra, introduced by Borgwardt, Finhold, and Hemmecke (SIDMA 2015) as a relaxation of the combinatorial diameter. We show that the circuit diam…
Circuit imbalance measures and linear programming
Farbod Ekbatani, Bento Natura, László A. Végh
We study properties and applications of various circuit imbalance measures associated with linear spaces. These measures describe possible ratios between nonzero entries of support…
Approximating Equilibrium under Constrained Piecewise Linear Concave Utilities with Applications to Matching Markets
Jugal Garg, Yixin Tao, László A. Végh
We study the equilibrium computation problem in the Fisher market model with constrained piecewise linear concave (PLC) utilities. This general class captures many well-studied spe…
On complete classes of valuated matroids
Edin Husić, Georg Loho, Ben Smith +1
We characterize a rich class of valuated matroids, called R-minor valuated matroids that includes the indicator functions of matroids, and is closed under operations such as taking…