The complexity of infinite-horizon general-sum stochastic games

Y Jin, V Muthukumar, A Sidford - arXiv preprint arXiv:2204.04186, 2022 - arxiv.org
We study the complexity of computing stationary Nash equilibrium (NE) in n-player infinite-
horizon general-sum stochastic games. We focus on the problem of computing NE in such …

A polynomial-time algorithm for 1/3-approximate Nash equilibria in bimatrix games

A Deligkas, M Fasoulakis, E Markakis - ACM Transactions on Algorithms, 2023 - dl.acm.org
Since the celebrated PPAD-completeness result for Nash equilibria in bimatrix games, a
long line of research has focused on polynomial-time algorithms that compute ε-approximate …

Smoothed complexity of 2-player Nash equilibria

S Boodaghians, J Brakensiek… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
We prove that computing a Nash equilibrium of a two-player (n× n) game with payoffs in [-1,
1] is PPAD-hard (under randomized reductions) even in the smoothed analysis setting …

A polynomial-time algorithm for 1/2-well-supported nash equilibria in bimatrix games

A Deligkas, M Fasoulakis, E Markakis - SIAM Journal on Computing, 2023 - SIAM
Since the seminal PPAD-completeness result for computing a Nash equilibrium even in two-
player games, an important line of research has focused on relaxations achievable in …

On the approximation of Nash equilibria in sparse win-lose multi-player games

Z Liu, J Li, X Deng - Proceedings of the AAAI Conference on Artificial …, 2021 - ojs.aaai.org
A polymatrix game is a multi-player game over n players, where each player chooses a pure
strategy from a list of its own pure strategies. The utility of each player is a sum of payoffs it …

(In) Existence of Equilibria for 2-Players, 2-Values Games with Concave Valuations

C Georgiou, M Mavronicolas, B Monien - arXiv preprint arXiv:2009.04425, 2020 - arxiv.org
We consider 2-players, 2-values minimization games where the players' costs take on two
values, $ a, b $, $ a< b $. The players play mixed strategies and their costs are evaluated by …

Search and optimization with randomness in computational economics: equilibria, pricing, and decisions

S Boodaghians - 2021 - ideals.illinois.edu
In this thesis we study search and optimization problems from computational economics with
primarily stochastic inputs. The results are grouped into two categories: First, we address the …

Algorithms and complexity results for problems on fair division and imitation games

A Murhekar - 2020 - ideals.illinois.edu
Abstract" We study the problem of allocating indivisible goods to agents in a fair and efficient
manner. We consider different notions of fairness such as envy-freeness up to one good …

(In) Existence of Equilibria for 2-Player, 2-Value Games with Semistrictly Quasiconcave Cost Functions

C Georgiou, M Mavronicolas, B Monien - Theory of Computing Systems, 2022 - Springer
Abstract We consider 2-player, 2-value cost minimization games where the players' costs
take on two values, a, b, with a< b. The players play mixed strategies and their costs are …