activity
20042022
most citedThe Complexity of Gradient Descent: CLS = PPAD PLS

25 citations · 80 across the 30 of their papers we have counts for

collaborators

37 papers

cs.GT2022

Contests to Incentivize a Target Group

Edith Elkind, Abheek Ghosh, Paul Goldberg

We study how to incentivize agents in a target group to produce a higher output in the context of incomplete information, by means of rank-order allocation contests. We describe a…

cs.MA2022

Complexity of Deliberative Coalition Formation

Edith Elkind, Abheek Ghosh, Paul Goldberg

Elkind et al. (AAAI, 2021) introduced a model for deliberative coalition formation, where a community wishes to identify a strongly supported proposal from a space of alternatives,…

cs.GT2021

Contest Design with Threshold Objectives

Edith Elkind, Abheek Ghosh, Paul W. Goldberg

We study contests where the designer's objective is an extension of the widely studied objective of maximizing the total output: The designer gets zero marginal utility from a play…

cs.GT2021

Equivalence of Models of Cake-Cutting Protocols

Paul W. Goldberg, Ioana Iaru

The cake-cutting problem involves dividing a heterogeneous, divisible resource fairly between agents. Brânzei et al. [6] introduced {\em generalised cut and choose} (GCC) proto…

cs.GT2021

Lower Bounds for the Query Complexity of Equilibria in Lipschitz Games

Paul W. Goldberg, Matthew J. Katzman

Nearly a decade ago, Azrieli and Shmaya introduced the class of -Lipschitz games in which every player's payoff function is -Lipschitz with respect to the actions of the othe…

cs.CC2020★ 25 cited

The Complexity of Gradient Descent: CLS = PPAD PLS

John Fearnley, Paul W. Goldberg, Alexandros Hollender +1

We study search problems that can be solved by performing Gradient Descent on a bounded convex polytopal domain and show that this class is equal to the intersection of two well-kn…