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We investigate a two-player zero-sum differential game with asymmetric information on the payoff and without Isaacs condition. The dynamics is an ordinary differential equation parametrised by two controls chosen by the players. Each player…

最优化与控制 · 数学 2015-07-30 Rainer Buckdahn , Marc Quincampoix , Catherine Rainer , Yuhong Xu

We investigate a two-player zero-sum stochastic differential game in which the players have an asymmetric information on the random payoff. We prove that the game has a value and characterize this value in terms of dual solutions of some…

最优化与控制 · 数学 2007-05-23 Pierre Cardaliaguet , Catherine Rainer

In this paper, we investigate the existence and characterization of the value for a two-player zero-sum differential game with symmetric incomplete information on a continuum of initial positions and with signal revelation. Before the game…

最优化与控制 · 数学 2026-01-01 Xiaochi Wu

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

A general model for zero-sum stochastic games with asymmetric information is considered. In this model, each player's information at each time can be divided into a common information part and a private information part. Under certain…

系统与控制 · 电气工程与系统科学 2019-12-25 Dhruva Kartik , Ashutosh Nayyar

We study a two-player zero-sum stochastic differential game with asymmetric information where the payoff depends on a controlled continuous-time Markov chain X with finite state space which is only observed by player 1. This model was…

最优化与控制 · 数学 2018-02-26 Fabien Gensbittel

This article introduces differential hybrid games, which combine differential games with hybrid games. In both kinds of games, two players interact with continuous dynamics. The difference is that hybrid games also provide all the features…

计算机科学中的逻辑 · 计算机科学 2017-08-17 André Platzer

This paper studies the rationalization and identification of binary games where players have correlated private types. Allowing for correlation is crucial in global games and in models with social interactions as it represents correlated…

统计方法学 · 统计学 2018-03-20 Nianqing Liu , Quang Vuong , Haiqing Xu

Information asymmetry in games enables players with the information advantage to manipulate others' beliefs by strategically revealing information to other players. This work considers a double-sided information asymmetry in a Bayesian…

计算机科学与博弈论 · 计算机科学 2023-08-29 Tao Li , Quanyan Zhu

We study the role of costly information in non-cooperative two-player games when an extrinsic third party information broker is introduced asymmetrically, allowing one player to obtain information about the other player's action. This…

计算机科学与博弈论 · 计算机科学 2020-02-20 Matthew J. Young , Andrew Belmonte

We prove that for a class of zero-sum differential games with incomplete information on both sides, the value admits a probabilistic representation as the value of a zero-sum stochastic differential game with complete information, where…

最优化与控制 · 数学 2017-01-04 Fabien Gensbittel , Catherine Rainer

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…

概率论 · 数学 2010-07-27 Dinah Rosenberg , Eilon Solan , Nicolas Vieille

We study the asymptotic value of a frequency-dependent zero-sum game with separable payoff following a differential approach. The stage payoffs in such games depend on the current actions and on a linear function of the frequency of actions…

最优化与控制 · 数学 2019-01-23 Joseph Abdou , Nikolaos Pnevmatikos

In this paper, we present a conceptual model game to examine the dynamics of asymmetric interactions in games with imperfect information. The game involves two agents with starkly contrasting capabilities: one agent can take actions but has…

多智能体系统 · 计算机科学 2025-01-09 Fabian Farestam , Dilian Gurov

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

We investigate quantum games in which the information is asymmetrically distributed among the players, and find the possibility of the quantum game outperforming its classical counterpart depends strongly on not only the entanglement, but…

量子物理 · 物理学 2007-05-23 Jiangfeng Du , Hui Li , Chenyong Ju

This paper is concerned with a three-level stochastic linear-quadratic Stackelberg differential game with asymmetric information, in which three players participate credited as Player 1, Player 2 and Player 3. Player 3 acts as the leader of…

最优化与控制 · 数学 2022-10-24 Kaixin Kang , Jingtao Shi

Desensitization addresses safe optimal planning under parametric uncertainties by providing sensitivity function-based risk estimates. This paper expands upon the existing work on desensitization in optimal control to address safe planning…

系统与控制 · 电气工程与系统科学 2024-02-08 Vinodhini Comandur , Tulasi Ram Vechalapu , Venkata Ramana Makkapati , Panagiotis Tsiotras , Seth Hutchinson

We prove that in a general zero-sum repeated game where the first player is more informed than the second player and controls the evolution of information on the state, the uniform value exists. This result extends previous results on…

最优化与控制 · 数学 2013-01-10 Fabien Gensbittel , Miquel Oliu-Barton , Xavier Venel

Using the duality techniques introduced by De Meyer (1996a, 1996b), De Meyer and Marino (2005) provided optimal strategies for both players in finitely repeated games with incomplete information on two sides, in the independent case. In…

最优化与控制 · 数学 2021-06-09 Fabien Gensbittel , Miquel Oliu-Barton
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