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We consider active learning under incentive compatibility constraints. The main application of our results is to economic experiments, in which a learner seeks to infer the parameters of a subject's preferences: for example their attitudes…

计算机科学与博弈论 · 计算机科学 2019-11-15 Federico Echenique , Siddharth Prasad

There is growing experimental evidence that $Q$-learning agents may learn to charge supracompetitive prices. We provide the first theoretical explanation for this behavior in infinite repeated games. Firms update their pricing policies…

综合经济学 · 经济学 2025-05-30 Cristian Chica , Yinglong Guo , Gilad Lerman

Projected gradient ascent is known to satisfy no-external regret as a learning algorithm. However, recent empirical work shows that projected gradient ascent often finds the Nash equilibrium in settings beyond two-player zero-sum…

计算机科学与博弈论 · 计算机科学 2025-06-05 Mete Şeref Ahunbay , Martin Bichler

Considering a class of gradient-based multi-agent learning algorithms in non-cooperative settings, we provide local convergence guarantees to a neighborhood of a stable local Nash equilibrium. In particular, we consider continuous games…

最优化与控制 · 数学 2024-09-23 Benjamin Chasnov , Lillian J. Ratliff , Eric Mazumdar , Samuel A. Burden

This work is dedicated to the algorithm design in a competitive framework, with the primary goal of learning a stable equilibrium. We consider the dynamic price competition between two firms operating within an opaque marketplace, where…

计算机科学与博弈论 · 计算机科学 2023-05-30 Mengzi Amy Guo , Donghao Ying , Javad Lavaei , Zuo-Jun Max Shen

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We consider generalized Nash equilibrium (GNE) problems in games with strongly monotone pseudo-gradients and jointly linear coupling constraints. We establish the convergence rate of a payoff-based approach intended to learn a variational…

最优化与控制 · 数学 2024-11-14 Tatiana Tatarenko , Maryam Kamgarpour

We report the results of statistical analysis performed on course grades for calculus-based introductory physics for data collected over a four-year period. We consider two important categories of scores: proctored (in-class proctored exams…

物理教育 · 物理学 2018-04-17 Benjamin O. Tayo , Ananda A. Jayawardhana

We study Markov potential games under the infinite horizon average reward criterion. Most previous studies have been for discounted rewards. We prove that both algorithms based on independent policy gradient and independent natural policy…

机器学习 · 计算机科学 2024-03-12 Min Cheng , Ruida Zhou , P. R. Kumar , Chao Tian

We study the inefficiency of equilibria for various classes of games when players are (partially) altruistic. We model altruistic behavior by assuming that player i's perceived cost is a convex combination of 1-\alpha_i times his direct…

计算机科学与博弈论 · 计算机科学 2013-02-21 Po-An Chen , Bart de Keijzer , David Kempe , Guido Schaefer

Envy, the inclination to compare rewards, can be expected to unfold when inequalities in terms of payoff differences are generated in competitive societies. It is shown that increasing levels of envy lead inevitably to a self-induced…

物理与社会 · 物理学 2020-06-18 Claudius Gros

It is known that there are uncoupled learning heuristics leading to Nash equilibrium in all finite games. Why should players use such learning heuristics and where could they come from? We show that there is no uncoupled learning heuristic…

计算机科学与博弈论 · 计算机科学 2015-04-27 Burkhard C. Schipper

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

The purpose of this paper is to improve upon existing variants of gradient descent by solving two problems: (1) removing (or reducing) the plateau that occurs while minimizing the cost function, (2) continually adjusting the learning rate…

机器学习 · 计算机科学 2021-08-04 Michael F. Zimmer

Generative models hold great potential, but only if one can trust the evaluation of the data they generate. We show that many commonly used quality scores for comparing two-dimensional distributions of synthetic vs. ground-truth data give…

人工智能 · 计算机科学 2025-01-24 Phuc Nguyen , Miao Li , Alexandra Morgan , Rima Arnaout , Ramy Arnaout

We study the performance of the gradient play algorithm for stochastic games (SGs), where each agent tries to maximize its own total discounted reward by making decisions independently based on current state information which is shared…

机器学习 · 计算机科学 2023-12-08 Runyu Zhang , Zhaolin Ren , Na Li

This paper analyzes a steady state matching model interrelating the education and labor sectors. In this model, a heterogeneous population of students match with teachers to enhance their cognitive skills. As adults, they then choose to…

最优化与控制 · 数学 2021-02-25 Alice Erlinger , Robert J. McCann , Xianwen Shi , Aloysius Siow , Ronald Wolthoff

We study the relationship between two central concepts in the allocation of divisible goods: competitive equilibrium (CE) and allocations that maximize Nash welfare, i.e., allocations where the weighted geometric mean of the utilities is…

计算机科学与博弈论 · 计算机科学 2026-03-18 Jugal Garg , Yixin Tao , László A. Végh

We introduce a new algorithm for the numerical computation of Nash equilibria of competitive two-player games. Our method is a natural generalization of gradient descent to the two-player setting where the update is given by the Nash…

最优化与控制 · 数学 2020-07-02 Florian Schäfer , Anima Anandkumar

Correlated equilibria arise naturally when agents communicate or rely on intermediaries such as recommendation systems. We study when a given Nash equilibrium can be improved within the set of correlated equilibria for general objectives.…

理论经济学 · 经济学 2026-05-01 Kirill Rudov , Fedor Sandomirskiy , Leeat Yariv
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