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We apply Blackwell optimality to repeated games. An equilibrium whose strategy profile is sequentially rational for all high enough discount factors simultaneously is a Blackwell (subgame-perfect, perfect public, etc.) equilibrium. The bite…

理论经济学 · 经济学 2025-01-13 Costas Cavounidis , Sambuddha Ghosh , Johannes Hörner , Eilon Solan , Satoru Takahashi

We study a two-player dynamic Stackelberg game where the follower's intention is unknown to the leader. Classical formulations of the Stackelberg equilibrium (SE) assume that the follower's best response (BR) function is known to the…

系统与控制 · 电气工程与系统科学 2026-04-09 Cayetana Salinas-Rodriguez , Jonathan Rogers , Sarah H. Q. Li

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

计算机科学与博弈论 · 计算机科学 2026-01-05 Sam Ganzfried

This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

多智能体系统 · 计算机科学 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

The Stackelberg game depicts a leader-follower relationship wherein decisions are made sequentially, and the Stackelberg equilibrium represents an expected optimal solution when the leader can anticipate the rational response of the…

系统与控制 · 电气工程与系统科学 2024-01-17 Yue Chen , Peng Yi

We introduce the notion of regularized Bayesian best response (RBBR) learning dynamic in heterogeneous population games. We obtain such a dynamic via perturbation by an arbitrary lower semicontinuous, strongly convex regularizer in Bayesian…

最优化与控制 · 数学 2023-03-13 Sayan Mukherjee , Souvik Roy

We study zero-sum differential games with state constraints and one-sided information, where the informed player (Player 1) has a categorical payoff type unknown to the uninformed player (Player 2). The goal of Player 1 is to minimize his…

计算机科学与博弈论 · 计算机科学 2024-06-05 Mukesh Ghimire , Lei Zhang , Zhe Xu , Yi Ren

Game-theoretic concepts have been extensively studied in economics to provide insight into competitive behaviour and strategic decision making. As computing systems increasingly involve concurrently acting autonomous agents, game-theoretic…

形式语言与自动机理论 · 计算机科学 2022-07-01 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos , Rui Yan

We describe an algorithm for computing best response strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents' types and actions, conditional on linear comparisons of…

计算机科学与博弈论 · 计算机科学 2012-07-19 Daniel Reeves , Michael P. Wellman

We consider a dynamic model of Bayesian persuasion in which information takes time and is costly for the sender to generate and for the receiver to process, and neither player can commit to their future actions. Persuasion may totally…

理论经济学 · 经济学 2022-10-03 Yeon-Koo Che , Kyungmin Kim , Konrad Mierendorff

We revisit the question of modeling incomplete information among 2 Bayesian players, following an ex-ante approach based on values of zero-sum games. $K$ being the finite set of possible parameters, an information structure is defined as a…

最优化与控制 · 数学 2019-04-02 Fabien Gensbittel , Marcin Peski , Jérôme Renault

Transparency of information disclosure has always been considered an instrumental component of effective governance, accountability, and ethical behavior in any organization or system. However, a natural question follows: \emph{what is the…

计算机科学与博弈论 · 计算机科学 2023-12-01 Tao Li , Quanyan Zhu

We study the value and the optimal strategies for a two-player zero-sum optimal stopping game with incomplete and asymmetric information. In our Bayesian set-up, the drift of the underlying diffusion process is unknown to one player…

概率论 · 数学 2020-07-15 Tiziano De Angelis , Erik Ekström , Kristoffer Glover

This paper investigates strategic interactions within a three party deception security game involving a defender, an insider, and external attackers. We propose a robust deception mechanism where the leader manipulates game parameters…

计算机科学与博弈论 · 计算机科学 2026-04-06 Xiaoyu Xin , Gehui Xu , Yiguang Hong

Through a stochastic control theoretic approach, we analyze reputation games where a strategic long-lived player acts in a sequential repeated game against a collection of short-lived players. The key assumption in our model is that the…

最优化与控制 · 数学 2020-01-22 Nuh Aygün Dalkıran , Serdar Yüksel

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

理论经济学 · 经济学 2020-01-16 Drew Fudenberg , Kevin He

$S$ equilibrium synthesizes a century of game-theoretic modeling. $S$-beliefs determine choices as in the refinement literature and level-$k$, without anchoring on Nash equilibrium or imposing ad hoc belief formation. $S$-choices allow for…

理论经济学 · 经济学 2023-07-13 Jacob K Goeree , Bernardo Garcia-Pola

We present novel techniques for neuro-symbolic concurrent stochastic games, a recently proposed modelling formalism to represent a set of probabilistic agents operating in a continuous-space environment using a combination of neural network…

计算机科学与博弈论 · 计算机科学 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

We study the problem of finding equilibrium strategies in multi-agent games with incomplete payoff information, where the payoff matrices are only known to the players up to some bounded uncertainty sets. In such games, an ex-post…

计算机科学与博弈论 · 计算机科学 2020-07-14 Wenshuo Guo , Mihaela Curmei , Serena Wang , Benjamin Recht , Michael I. Jordan

We study finite normal-form games in which payoffs are subject to random perturbations and players face uncertainty about how these shocks co-move across actions, an ambiguity that naturally arises when only realized (not counterfactual)…

理论经济学 · 经济学 2026-02-12 Yu Gui , Bahar Taşkesen