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In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this context, the performance of a learning algorithm is often…

Computer Science and Game Theory · Computer Science 2021-10-19 Yu-Guan Hsieh , Kimon Antonakopoulos , Panayotis Mertikopoulos

Companies like Google and Microsoft run billions of auctions every day to sell advertising opportunities. Any change to the rules of these auctions can have a tremendous effect on the revenue of the company and the welfare of the…

Computer Science and Game Theory · Computer Science 2019-11-07 Saeed Alaei , Ashwinkumar Badanidiyuru , Mohammad Mahdian , Sadra Yazdanbod

Mediation analysis is a form of causal inference that investigates indirect effects and causal mechanisms. Confidence intervals for indirect effects play a central role in conducting inference. The problem is non-standard leading to…

Econometrics · Economics 2024-12-17 Kees Jan van Garderen , Noud van Giersbergen

This paper develops bootstrap procedures for inference in linear regression models with two-way clustered data. We characterize the estimator's asymptotic behavior in five mutually exclusive and exhaustive regimes: three Gaussian and two…

Statistics Theory · Mathematics 2026-05-04 Ulrich Hounyo , Jiahao Lin

The paper is devoted to a generalization of static and dynamic mathematical models of behavior with explicitly stated reflexive models of agents' decision-making. Reflexion is considered as agent's beliefs about nature, opponents' beliefs…

Computer Science and Game Theory · Computer Science 2018-01-23 Dmitry Novikov , Vsevolod Korepanov , Alexander Chkhartishvili

Large amounts of evidence suggest that trust levels in a country are an important determinant of its macroeconomic growth. In this paper, we investigate one channel through which trust might support economic performance: through the levels…

General Economics · Economics 2022-12-01 Linas Nasvytis

This book summarizes ongoing research introducing probability space isomorphic mappings into the strategy spaces of game theory. This approach is motivated by discrepancies between probability theory and game theory when applied to the same…

Computer Science and Game Theory · Computer Science 2013-04-23 Michael J Gagen

Modeling the interaction between traffic agents is a key issue in designing safe and non-conservative maneuvers in autonomous driving. This problem can be challenging when multi-modality and behavioral uncertainties are engaged. Existing…

Robotics · Computer Science 2024-09-24 Zhenmin Huang , Tong Li , Shaojie Shen , Jun Ma

We study bandit learning in matching markets, where players and arms constitute the two market sides, and the players' utilities are linear in the arm contexts. In each round, new arms arrive with observable contexts. Then, the algorithm…

Machine Learning · Computer Science 2026-05-28 Shiyun Lin , Simon Mauras , Vianney Perchet , Nadav Merlis

Cooperation and competition between human players in repeated microeconomic games offer a powerful window onto social phenomena such as the establishment, breakdown and repair of trust. This offers the prospect of particular insight into…

Neurons and Cognition · Quantitative Biology 2018-07-04 Andreas Hula , Iris Vilares , Peter Dayan , P. Read Montague

We propose a methodology for constructing confidence regions with partially identified models of general form. The region is obtained by inverting a test of internal consistency of the econometric structure. We develop a dilation bootstrap…

Econometrics · Economics 2021-02-10 Alfred Galichon , Marc Henry

Empirically, many strategic settings are characterized by stable outcomes in which players' decisions are publicly observed, yet no player takes the opportunity to deviate. To analyze such situations in the presence of incomplete…

Econometrics · Economics 2024-04-12 Paul S. Koh

Econometric inference allows an analyst to back out the values of agents in a mechanism from the rules of the mechanism and bids of the agents. This paper gives an algorithm to solve the problem of inferring the values of agents in a…

Computer Science and Game Theory · Computer Science 2020-03-31 Jason Hartline , Aleck Johnsen , Denis Nekipelov , Zihe Wang

Classical reinforcement learning assumes the agent interacts with a fixed environment whose behavior does not depend on the agent's policy. This assumption breaks down in non-realizable settings where other actors might anticipate the…

Aggregate shocks affect most households' and firms' decisions. Using three stylized models we show that inference based on cross-sectional data alone generally fails to correctly account for decision making of rational agents facing…

Methodology · Statistics 2022-04-28 Jinyong Hahn , Guido Kuersteiner , Maurizio Mazzocco

Bounded rationality is an important consideration stemming from the fact that agents often have limits on their processing abilities, making the assumption of perfect rationality inapplicable to many real tasks. We propose an…

Information Theory · Computer Science 2021-05-28 Benjamin Patrick Evans , Mikhail Prokopenko

We investigate how individuals form expectations about population behavior using statistical inference based on observations of their social relations. Misperceptions about others' connectedness and behavior arise from sampling bias…

Theoretical Economics · Economics 2022-05-27 Andreas Bjerre-Nielsen , Martin Benedikt Busch

Graphical models describe associations between variables through the notion of conditional independence. Gaussian graphical models are a widely used class of such models where the relationships are formalized by non-null entries of the…

Methodology · Statistics 2023-08-08 Sagnik Bhadury , Riten Mitra , Jeremy T. Gaskins

We study online learning in Bayesian Stackelberg games, where a leader repeatedly interacts with a follower whose unknown private type is independently drawn at each round from an unknown probability distribution. The goal is to design…

Computer Science and Game Theory · Computer Science 2026-02-03 Matteo Bollini , Francesco Bacchiocchi , Samuel Coutts , Matteo Castiglioni , Alberto Marchesi

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In this dynamics, a belief estimate of the parameter is repeatedly updated given players' strategies and realized…

Computer Science and Game Theory · Computer Science 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar