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We propose a simple uncertainty modification for the agent model in normal-form games; at any given strategy profile, the agent can access only a set of "possible profiles" that are within a certain distance from the actual action profile.…

Computer Science and Game Theory · Computer Science 2020-02-11 Erman Acar , Reshef Meir

Hindsight rationality is an approach to playing general-sum games that prescribes no-regret learning dynamics for individual agents with respect to a set of deviations, and further describes jointly rational behavior among multiple agents…

Computer Science and Game Theory · Computer Science 2022-06-03 Dustin Morrill , Ryan D'Orazio , Marc Lanctot , James R. Wright , Michael Bowling , Amy R. Greenwald

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

Computer Science and Game Theory · Computer Science 2013-06-13 Mario Bravo , Mathieu Faure

In competitive multi-player interactions, simultaneous optimality is a key requirement for establishing strategic equilibria. This property is explicit when the game-theoretic equilibrium is the simultaneously optimal solution of coupled…

Computer Science and Game Theory · Computer Science 2024-04-04 Sarah H. Q. Li , Yue Yu , Florian Dörfler , John Lygeros

We introduce a class of extensive form games where players might not be able to foresee the possible consequences of their decisions and form a model of their opponents which they exploit to achieve a more profitable outcome. We improve…

Artificial Intelligence · Computer Science 2016-05-31 Paolo Turrini

We study the iteration complexity of decentralized learning of approximate correlated equilibria in incomplete information games. On the negative side, we prove that in $\mathit{extensive}$-$\mathit{form}$ $\mathit{games}$, assuming…

Computer Science and Game Theory · Computer Science 2024-06-05 Binghui Peng , Aviad Rubinstein

A dominant approach to solving large imperfect-information games is Counterfactural Regret Minimization (CFR). In CFR, many regret minimization problems are combined to solve the game. For very large games, abstraction is typically needed…

Machine Learning · Computer Science 2019-12-02 Ryan D'Orazio , Dustin Morrill , James R. Wright

Estimating discrete games of complete information is often computationally difficult due to partial identification and the absence of closed-form moment characterizations. This paper proposes computationally tractable approaches to…

Econometrics · Economics 2025-10-02 Paul S. Koh

In nature and society problems arise when different interests are difficult to reconcile, which are modeled in game theory. While most applications assume uncorrelated games, a more detailed modeling is necessary to consider the…

Physics and Society · Physics 2019-08-21 A. D. Correia , H. T. C. Stoof

Blackwell approachability, regret minimization and calibration are three criteria evaluating a strategy (or an algorithm) in different sequential decision problems, or repeated games between a player and Nature. Although they have at first…

Computer Science and Game Theory · Computer Science 2013-01-15 Vianney Perchet

We introduce a new approach for computing optimal equilibria via learning in games. It applies to extensive-form settings with any number of players, including mechanism design, information design, and solution concepts such as correlated,…

This paper introduces the new concept of (follower) satisfaction in Stackelberg games and compares the standard Stackelberg game with its satisfaction version. Simulation results are presented which suggest that the follower adopting…

Computer Science and Game Theory · Computer Science 2024-08-22 Langford White , Duong Nguyen , Hung Nguyen

Most of the literature on learning in games has focused on the restrictive setting where the underlying repeated game does not change over time. Much less is known about the convergence of no-regret learning algorithms in dynamic multiagent…

Machine Learning · Computer Science 2023-10-19 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

We develop an algorithmic framework for solving convex optimization problems using no-regret game dynamics. By converting the problem of minimizing a convex function into an auxiliary problem of solving a min-max game in a sequential…

Machine Learning · Computer Science 2023-02-21 Jun-Kun Wang , Jacob Abernethy , Kfir Y. Levy

In the framework of continuous time symmetric stochastic differential games in open loop strategies, we introduce a generalization of mean field game solution, called coarse correlated solution. This can be seen as the analogue of a coarse…

Probability · Mathematics 2024-12-20 Luciano Campi , Federico Cannerozzi , Markus Fischer

Imperfect-Information Extensive-Form Games (IIEFGs) is a prevalent model for real-world games involving imperfect information and sequential plays. The Extensive-Form Correlated Equilibrium (EFCE) has been proposed as a natural solution…

Machine Learning · Computer Science 2022-05-17 Ziang Song , Song Mei , Yu Bai

We study the performance of optimistic regret-minimization algorithms for both minimizing regret in, and computing Nash equilibria of, zero-sum extensive-form games. In order to apply these algorithms to extensive-form games, a…

Computer Science and Game Theory · Computer Science 2019-10-29 Gabriele Farina , Christian Kroer , Tuomas Sandholm

The long-run behavior of multi-agent learning - and, in particular, no-regret learning - is relatively well-understood in potential games, where players have aligned interests. By contrast, in harmonic games - the strategic counterpart of…

Computer Science and Game Theory · Computer Science 2024-12-31 Davide Legacci , Panayotis Mertikopoulos , Christos H. Papadimitriou , Georgios Piliouras , Bary S. R. Pradelski

Correlated Equilibrium is a solution concept that is more general than Nash Equilibrium (NE) and can lead to outcomes with better social welfare. However, its natural extension to the sequential setting, the \textit{Extensive Form…

Computer Science and Game Theory · Computer Science 2023-01-02 Chun Kai Ling , Fei Fang

In this paper, we study contention resolution protocols from a game-theoretic perspective. We focus on \emph{acknowledgment-based} protocols, where a user gets feedback from the channel only when she attempts transmission. In this case she…

Computer Science and Game Theory · Computer Science 2016-06-22 George Christodoulou , Martin Gairing , Sotiris Nikoletseas , Christoforos Raptopoulos , Paul Spirakis