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I study a repeated game in which a patient player (e.g., a seller) wants to win the trust of some myopic opponents (e.g., buyers) but can strictly benefit from betraying them. Her benefit from betrayal is strictly positive and is her…

理论经济学 · 经济学 2020-06-16 Harry Pei

An ideal strategy in zero-sum games should not only grant the player an average reward no less than the value of Nash equilibrium, but also exploit the (adaptive) opponents when they are suboptimal. While most existing works in Markov games…

机器学习 · 计算机科学 2022-06-15 Qinghua Liu , Yuanhao Wang , Chi Jin

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

计算机科学与博弈论 · 计算机科学 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

We investigate concurrent two-player win/lose stochastic games on finite graphs with prefix-independent objectives. We characterize subgame optimal strategies and use this characterization to show various memory transfer results: 1) For a…

计算机科学与博弈论 · 计算机科学 2023-01-26 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

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…

计算机科学与博弈论 · 计算机科学 2021-09-06 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

Zero-determinant strategies are memory-one strategies in repeated games which unilaterally enforce linear relations between expected payoffs of players. Recently, the concept of zero-determinant strategies was extended to the class of…

最优化与控制 · 数学 2022-09-07 Masahiko Ueda

In two-player finite-state stochastic games of partial observation on graphs, in every state of the graph, the players simultaneously choose an action, and their joint actions determine a probability distribution over the successor states.…

计算机科学与博弈论 · 计算机科学 2011-07-13 Krishnendu Chatterjee , Laurent Doyen

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…

最优化与控制 · 数学 2018-04-13 Tatiana Tatarenko

Recent theory shows that extortioners taking advantage of the zero-determinant (ZD) strategy can unilaterally claim an unfair share of the payoffs in the Iterated Prisoner's Dilemma. It is thus suggested that against a fixed extortioner,…

物理与社会 · 物理学 2022-01-13 Xingru Chen , Feng Fu

Recent results in the ML community have revealed that learning algorithms used to compute the optimal strategy for the leader to commit to in a Stackelberg game, are susceptible to manipulation by the follower. Such a learning algorithm…

A checkers-like model game with a simplified set of rules is studied through extensive simulations of agents with different expertise and strategies. The introduction of complementary strategies, in a quite general way, provides a tool to…

It is shown in recent studies that in a Stackelberg game the follower can manipulate the leader by deviating from their true best-response behavior. Such manipulations are computationally tractable and can be highly beneficial for the…

计算机科学与博弈论 · 计算机科学 2023-02-28 Yurong Chen , Xiaotie Deng , Jiarui Gan , Yuhao Li

Accurately predicting the outcome of sporting events has been a goal for many groups who seek to maximize profit. What makes this challenging is that the outcome of an event can be influenced by many factors that dynamically change across…

应用统计 · 统计学 2017-10-23 Erik J. Schlicht

In Stackelberg security games when information about the attacker's payoffs is uncertain, algorithms have been proposed to learn the optimal defender commitment by interacting with the attacker and observing their best responses. In this…

计算机科学与博弈论 · 计算机科学 2019-11-01 Jiarui Gan , Qingyu Guo , Long Tran-Thanh , Bo An , Michael Wooldridge

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In each step, an information system estimates a belief distribution of the parameter based on the players'…

系统与控制 · 电气工程与系统科学 2020-10-20 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

One common assumption in game theory is that any player optimizes a utility function that takes into account only its own payoff. However, it has long been observed that in real life players may adopt an altruistic or even spiteful…

计算机科学与博弈论 · 计算机科学 2025-11-25 Michail Fasoulakis , Leonidas Bakopoulos , Charilaos Akasiadis , Georgios Chalkiadakis

We study the problem of learning a most biased coin among a set of coins by tossing the coins adaptively. The goal is to minimize the number of tosses until we identify a coin i* whose posterior probability of being most biased is at least…

数据结构与算法 · 计算机科学 2013-09-10 Karthekeyan Chandrasekaran , Richard Karp

Stochastic games are often used to model reactive processes. We consider the problem of synthesizing an optimal almost-sure winning strategy in a two-player (namely a system and its environment) turn-based stochastic game with both a…

系统与控制 · 计算机科学 2015-11-03 Min Wen , Ufuk Topcu

We design and analyze minimax-optimal algorithms for online linear optimization games where the player's choice is unconstrained. The player strives to minimize regret, the difference between his loss and the loss of a post-hoc benchmark…

机器学习 · 计算机科学 2013-02-12 H. Brendan McMahan

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

最优化与控制 · 数学 2016-06-03 Mario Bravo , Panayotis Mertikopoulos