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Two-team zero-sum games are one of the most important paradigms in game theory. In this paper, we focus on finding an unexploitable equilibrium in large team games. An unexploitable equilibrium is a worst-case policy, where members in the…

Computer Science and Game Theory · Computer Science 2024-03-04 Naming Liu , Mingzhi Wang , Youzhi Zhang , Yaodong Yang , Bo An , Ying Wen

We study a class of two-player repeated games with incomplete information and informational externalities. In these games, two states are chosen at the outset, and players get private information on the pair, before engaging in repeated…

Probability · Mathematics 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

We address the problem of solving parity games with imperfect information on finite graphs of bounded structural complexity. It is a major open problem whether parity games with perfect information can be solved in PTIME. Restricting the…

Computer Science and Game Theory · Computer Science 2017-03-03 Bernd Puchala , Roman Rabinovich

Game theory's prescriptive power typically relies on full rationality and/or self-play interactions. In contrast, this work sets aside these fundamental premises and focuses instead on heterogeneous autonomous interactions between two or…

Computer Science and Game Theory · Computer Science 2012-03-19 Enrique Munoz de Cote , Archie C. Chapman , Adam M. Sykulski , Nicholas R. Jennings

We study Bayesian coordination games where agents receive noisy private information over the game's payoffs, and over each others' actions. If private information over actions is of low quality, equilibrium uniqueness obtains in a manner…

General Economics · Economics 2021-11-23 Dominik Grafenhofer , Wolfgang Kuhle

This paper presents a novel data-driven approach for approximating the $\varepsilon$-Nash equilibrium in continuous-time linear quadratic Gaussian (LQG) games, where multiple agents interact with each other through their dynamics and…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Zhenhui Xu , Jiayu Chen , Bing-Chang Wang , Tielong Shen

We study the group strategic behaviors in Bayesian games. Equilibria in previous work do not consider group strategic behaviors with bounded sizes and are too ``strong'' to exist in many scenarios. We propose the ex-ante Bayesian $k$-strong…

Computer Science and Game Theory · Computer Science 2025-02-04 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

Prior AI breakthroughs in complex games have focused on either the purely adversarial or purely cooperative settings. In contrast, Diplomacy is a game of shifting alliances that involves both cooperation and competition. For this reason,…

Artificial Intelligence · Computer Science 2021-05-04 Jonathan Gray , Adam Lerer , Anton Bakhtin , Noam Brown

Creating strong agents for games with more than two players is a major open problem in AI. Common approaches are based on approximating game-theoretic solution concepts such as Nash equilibrium, which have strong theoretical guarantees in…

Computer Science and Game Theory · Computer Science 2018-11-07 Sam Ganzfried , Austin Nowak , Joannier Pinales

We study balanced solutions for network bargaining games with general capacities, where agents can participate in a fixed but arbitrary number of contracts. We provide the first polynomial time algorithm for computing balanced solutions for…

Computer Science and Game Theory · Computer Science 2013-06-19 Linda Farczadi , Konstantinos Georgiou , Jochen Koenemann

There has been tremendous recent progress on equilibrium-finding algorithms for zero-sum imperfect-information extensive-form games, but there has been a puzzling gap between theory and practice. First-order methods have significantly…

Computer Science and Game Theory · Computer Science 2018-10-09 Christian Kroer , Gabriele Farina , Tuomas Sandholm

We tackle a fundamental problem in empirical game-theoretic analysis (EGTA), that of learning equilibria of simulation-based games. Such games cannot be described in analytical form; instead, a black-box simulator can be queried to obtain…

Computer Science and Game Theory · Computer Science 2019-06-03 Enrique Areyan Viqueira , Cyrus Cousins , Eli Upfal , Amy Greenwald

In this paper, we present a model of a game among teams. Each team consists of a homogeneous population of agents. Agents within a team are cooperative while the teams compete with other teams. The dynamics and the costs are coupled through…

Computer Science and Game Theory · Computer Science 2023-10-20 Jayakumar Subramanian , Akshat Kumar , Aditya Mahajan

The sequence form, owing to its compact and holistic strategy representation, has demonstrated significant efficiency in computing normal-form perfect equilibria for two-player extensive-form games with perfect recall. Nevertheless, the…

Computer Science and Game Theory · Computer Science 2025-11-19 Yuqing Hou , Yiyin Cao , Chuangyin Dang , Yong Wang

In their seminal work, Nayyar et al. (2013) showed that imperfect information can be abstracted away from common-payoff games by having players publicly announce their policies as they play. This insight underpins sound solvers and…

Computer Science and Game Theory · Computer Science 2023-08-02 Samuel Sokota , Ryan D'Orazio , Chun Kai Ling , David J. Wu , J. Zico Kolter , Noam Brown

The combination of deep reinforcement learning and search at both training and test time is a powerful paradigm that has led to a number of successes in single-agent settings and perfect-information games, best exemplified by AlphaZero.…

Computer Science and Game Theory · Computer Science 2020-12-01 Noam Brown , Anton Bakhtin , Adam Lerer , Qucheng Gong

Nash equilibrium is a popular solution concept for solving imperfect-information games in practice. However, it has a major drawback: it does not preclude suboptimal play in branches of the game tree that are not reached in equilibrium.…

Computer Science and Game Theory · Computer Science 2017-05-29 Christian Kroer , Gabriele Farina , Tuomas Sandholm

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

Optimization and Control · Mathematics 2023-10-25 Tatiana Tatarenko , Angelia Nedich

Asymmetrical multiplayer (AMP) game is a popular game genre which involves multiple types of agents competing or collaborating with each other in the game. It is difficult to train powerful agents that can defeat top human players in AMP…

Artificial Intelligence · Computer Science 2023-04-21 Chenglu Sun , Yichi Zhang , Yu Zhang , Ziling Lu , Jingbin Liu , Sijia Xu , Weidong Zhang

The process of revising (or constructing) a policy at execution time -- known as decision-time planning -- has been key to achieving superhuman performance in perfect-information games like chess and Go. A recent line of work has extended…

Artificial Intelligence · Computer Science 2024-05-14 Samuel Sokota , Gabriele Farina , David J. Wu , Hengyuan Hu , Kevin A. Wang , J. Zico Kolter , Noam Brown