5 papers · 1 filter
Finding Representative and Approximately Efficient Committees
Dominik Peters, Rohit Vaish, Jatin Yadav
In approval-based committee voting, proportional approval voting (PAV) is a well-studied rule that combines proportional representation with Pareto efficiency. However, computing a…
Easier, but Not Easy: Nash Welfare under Lexicographic Valuations
Soumil Aggarwal, Rohit Vaish, Jatin Yadav
Maximizing Nash welfare over indivisible goods is a central problem in resource allocation. For additive valuations, the best-known approximation factor is roughly $e^{-1/e}\approx…
The Landscape of Almost Equitable Allocations
Hadi Hosseini, Vishwa Prakash HV, Aditi Sethia +1
Equitability is a fundamental notion in fair division which requires that all agents derive equal value from their allocated bundles. We study, for general (possibly non-monotone)…
Best-of-Both-Worlds Guarantees with Fairer Endings
Telikepalli Kavitha, Surya Panchapakesan, Rohit Vaish +2
We study best-of-both-worlds guarantees for the fair division of indivisible goods. Prior work has shown that under additive valuations, there always exists a randomized allocation…
Approximating One-Sided and Two-Sided Nash Social Welfare With Capacities
Salil Gokhale, Harshul Sagar, Rohit Vaish +2
We study the problem of maximizing Nash social welfare, which is the geometric mean of agents' utilities, in two well-known models. The first model involves one-sided preferences,…