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Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

In persuasion problems where the receiver's action is one-dimensional and his utility is single-peaked, optimal signals are characterized by duality, based on a first-order approach to the receiver's problem. A signal is optimal iff the…

Theoretical Economics · Economics 2022-08-31 Anton Kolotilin , Roberto Corrao , Alexander Wolitzky

Quantum games with incomplete information can be studied within a Bayesian framework. We consider a version of prisoner's dilemma (PD) in this framework with three players and characterize the Nash equilibria. A variation of the standard PD…

Quantum Physics · Physics 2017-03-10 Neal Solmeyer , Ricky Dixon , Radhakrishnan Balu

Poker is a challenging problem for artificial intelligence, with non-deterministic dynamics, partial observability, and the added difficulty of unknown adversaries. Modelling all of the uncertainties in this domain is not an easy task. In…

Computer Science and Game Theory · Computer Science 2012-07-09 Finnegan Southey , Michael P. Bowling , Bryce Larson , Carmelo Piccione , Neil Burch , Darse Billings , Chris Rayner

We study the canonical signaling game, endowing the sender with commitment power: before learning the state, sender designs a strategy, which maps the state into a probability distribution over actions. We provide a geometric…

Theoretical Economics · Economics 2025-02-04 Raphael Boleslavsky , Mehdi Shadmehr

We study a communication game between an informed sender and an uninformed receiver with repeated interactions and voluntary transfers. Transfers motivate the receiver's decision-making and signal the sender's information. Although full…

Theoretical Economics · Economics 2020-12-11 Anton Kolotilin , Hongyi Li

We introduce the study of sequential information elicitation in strategic multi-agent systems. In an information elicitation setup a center attempts to compute the value of a function based on private information (a-k-a secrets) accessible…

Computer Science and Game Theory · Computer Science 2012-07-19 Rann Smorodinsky , Moshe Tennenholtz

Adversarial environments require agents to navigate a key strategic trade-off: acquiring information enhances situational awareness, but may simultaneously expose them to threats. To investigate this tension, we formulate a…

Artificial Intelligence · Computer Science 2025-10-10 Valerio La Gatta , Dolev Mutzari , Sarit Kraus , VS Subrahmanian

Bayesian regression games are a special class of two-player general-sum Bayesian games in which the learner is partially informed about the adversary's objective through a Bayesian prior. This formulation captures the uncertainty in regard…

Machine Learning · Computer Science 2021-10-04 Wenshuo Guo , Michael I. Jordan , Tianyi Lin

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

We study repeated two-player games where one of the players, the learner, employs a no-regret learning strategy, while the other, the optimizer, is a rational utility maximizer. We consider general Bayesian games, where the payoffs of both…

Machine Learning · Computer Science 2022-05-19 Yishay Mansour , Mehryar Mohri , Jon Schneider , Balasubramanian Sivan

In this paper, we study axiomatic foundations of Bayesian persuasion, where a principal (i.e., sender) delegates the task of choice making after informing a biased agent (i.e., receiver) about the payoff relevant uncertain state (see, e.g.,…

Theoretical Economics · Economics 2025-12-30 Youichiro Higashi , Kemal Ozbek , Norio Takeoka

It is common in recommendation systems that users both consume and produce information as they make strategic choices under uncertainty. While a social planner would balance "exploration" and "exploitation" using a multi-armed bandit…

Computer Science and Game Theory · Computer Science 2019-02-20 Nicole Immorlica , Jieming Mao , Aleksandrs Slivkins , Zhiwei Steven Wu

We study information design settings where the designer controls information about a state, and there are multiple agents interacting in a game who are privately informed about their types. Each agent's utility depends on all agents' types…

Theoretical Economics · Economics 2022-01-31 Ozan Candogan , Philipp Strack

Political and advertising campaigns increasingly exploit social networks to spread information and persuade people. This paper studies a persuasion model to examine whether such a strategy is better than simply sending public signals.…

Theoretical Economics · Economics 2025-08-12 Yifan Zhang

This paper addresses a mathematically tractable model of the Prisoner's Dilemma using the framework of active inference. In this work, we design pairs of Bayesian agents that are tracking the joint game state of their and their opponent's…

Physics and Society · Physics 2023-08-31 Daphne Demekas , Conor Heins , Brennan Klein

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

We examine receiver-optimal mechanisms for aggregating information divided across many biased senders. Each sender privately observes an unconditionally independent signal about an unknown state, so no sender can verify another's report. A…

Theoretical Economics · Economics 2025-08-05 James Best , Daniel Quigley , Maryam Saeedi , Ali Shourideh

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

In this paper a new multiple access algorithm for cognitive radio networks based on game theory is presented. We address the problem of a multiple access system where the number of users and their types are unknown. In order to do this, the…

Computer Science and Game Theory · Computer Science 2013-05-24 Oscar Filio Rodriguez , Serguei Primak , Valeri Kontorovich , Abdallah Shami
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