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We prove that every finite two-person shortest path game, where the local cost of every move is positive for each player, has a Nash equilibrium (NE) in pure stationary strategies, which can be computed in polynomial time. We also extend…

Discrete Mathematics · Computer Science 2025-05-22 Endre Boros , Khaled Elbassioni , Vladimir Gurvich , Mikhail Vyalyi

PPAD refers to a class of computational problems for which solutions are guaranteed to exist due to a specific combinatorial principle. The most well-known such problem is that of computing a Nash equilibrium of a game. Other examples…

Computer Science and Game Theory · Computer Science 2015-03-19 Paul W. Goldberg

Applications of combinatorial auctions (CA) as market mechanisms are prevalent in practice, yet their Bayesian Nash equilibria (BNE) remain poorly understood. Analytical solutions are known only for a few cases where the problem can be…

Computer Science and Game Theory · Computer Science 2021-02-09 Stefan Heidekrüger , Paul Sutterer , Nils Kohring , Maximilian Fichtl , Martin Bichler

We consider a multi-player non-zero-sum turn-based game (abbreviated as multi-player game) on a finite directed graph. A secure equilibrium (SE) is a strategy profile in which no player has the incentive to deviate from the strategy because…

Computer Science and Game Theory · Computer Science 2025-09-03 Hiroki Mizuno , Yoshiaki Takata , Hiroyuki Seki

In this paper we study the problem of exact recovery of the pure-strategy Nash equilibria (PSNE) set of a graphical game from noisy observations of joint actions of the players alone. We consider sparse linear influence games --- a…

Computer Science and Game Theory · Computer Science 2019-05-28 Asish Ghoshal , Jean Honorio

In this paper we present a new competitive packet routing model with edge priorities. We consider players that route selfishly through a network over time and try to reach their destinations as fast as possible. If the number of players who…

Computer Science and Game Theory · Computer Science 2018-08-22 Robert Scheffler , Martin Strehler , Laura Vargas Koch

The Nash Equilibrium (NE), one of the elegant and fundamental concepts in game theory, plays a crucial part within various fields, including engineering and computer science. However, efficiently computing an NE in normal-form games remains…

Optimization and Control · Mathematics 2025-04-01 Jianing Chen

We consider a class of N-player stochastic games of multi-dimensional singular control, in which each player faces a minimization problem of monotone-follower type with submodular costs. We call these games "monotone-follower games". In a…

Optimization and Control · Mathematics 2019-02-05 Jodi Dianetti , Giorgio Ferrari

Consider a strongly monotone game where the players' utility functions include a reward function and a linear term for each dimension, with coefficients that are controlled by the manager. Gradient play converges to a unique Nash…

Multiagent Systems · Computer Science 2026-02-25 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos

Sensor network localization (SNL) is a challenging problem due to its inherent non-convexity and the effects of noise in inter-node ranging measurements and anchor node position. We formulate a non-convex SNL problem as a multi-player…

Optimization and Control · Mathematics 2024-07-08 Gehui Xu , Guanpu Chen , Baris Fidan , Yiguang Hong , Hongsheng Qi , Thomas Parisini , Karl H. Johansson

Computing a Nash equilibrium (NE) is a central task in computer science. An NE is a particularly appropriate solution concept for two-agent settings because coalitional deviations are not an issue. However, even in this case, finding an NE…

Computer Science and Game Theory · Computer Science 2012-10-19 Nicola Gatti , Giorgio Patrini , Marco Rocco , Tuomas Sandholm

We suggest a novel stochastic-approximation algorithm to compute a symmetric Nash-equilibrium strategy in a general queueing game with a finite action space. The algorithm involves a single simulation of the queueing process with dynamic…

Probability · Mathematics 2023-08-30 Liron Ravner , Ran I. Snitkovsky

Job-scheduling games have traditionally assumed fixed processing times. However, in many realistic environments, ranging from cyber-security response to high-frequency trading, a task's duration depends on its starting time. We study…

Computer Science and Game Theory · Computer Science 2026-04-29 Ido Borenstein , Tami Tamir

Noncooperative game theory provides a normative framework for analyzing strategic interactions. However, for the toolbox to be operational, the solutions it defines will have to be computed. In this paper, we provide a single reduction that…

Computer Science and Game Theory · Computer Science 2007-05-23 Vincent Conitzer , Tuomas Sandholm

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

Systems and Control · Computer Science 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

This paper presents a concurrent learning-based actor-critic-identifier architecture to obtain an approximate feedback-Nash equilibrium solution to an infinite horizon N-player nonzero-sum differential game online, without requiring…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Justin Klotz , Warren E. Dixon

We present an algorithm that computes approximate pure Nash equilibria in a broad class of constraint satisfaction games that generalize the well-known cut and party affiliation games. Our results improve previous ones by Bhalgat et al.~(EC…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Angelo Fanelli , Nick Gravin

This work presents a variation of Naor's strategic observable model (1969), by adding a component of customer heterogeneity induced by the location of customers in relation to the server. Accordingly, customers incur a travel cost which…

Optimization and Control · Mathematics 2016-10-14 Refael Hassin , Irit Nowik , Yair Y. Shaki

We present a new class of vertex cover and set cover games. The price of anarchy bounds match the best known constant factor approximation guarantees for the centralized optimization problems for linear and also for submodular costs -- in…

Computer Science and Game Theory · Computer Science 2012-03-02 Georgios Piliouras , Tomas Valla , Laszlo A. Vegh

We prove that in a normal form n-player game with m actions for each player, there exists an approximate Nash equilibrium where each player randomizes uniformly among a set of O(log(m) + log(n)) pure strategies. This result induces an…

Computer Science and Game Theory · Computer Science 2013-07-19 Yakov Babichenko , Ron Peretz