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This paper aims to solve two fundamental problems on finite or infinite horizon dynamic games with perfect or almost perfect information. Under some mild conditions, we prove (1) the existence of subgame-perfect equilibria in general…

Economics · Quantitative Finance 2015-04-01 Wei He , Yeneng Sun

Bayesian rationality in strategic games presumes that it is possible to translate strategic uncertainty into imperfect information. Correlated equilibrium is guided by the idea that players are Bayes rational, have a common prior, and…

Computer Science and Game Theory · Computer Science 2016-02-02 Gabriel Frahm

We study a class of deterministic finite-horizon two-player nonzero-sum differential games where players are endowed with different kinds of controls. We assume that Player 1 uses piecewise-continuous controls, while Player 2 uses impulse…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Puduru Viswanadha Reddy , Georges Zaccour

We investigate a linear quadratic stochastic zero-sum game where two players lobby a political representative to invest in a wind turbine farm. Players are time-inconsistent because they discount performance with a non-constant rate. Our…

General Economics · Economics 2023-09-04 Ali Lazrak , Hanxiao Wang , Jiongmin Yong

This paper considers a continuous time Kyle-Back model which is a game problem between an insider and a market marker. The existing literature typically focuses on the existence of equilibrium by using the PDE approach, which requires…

Optimization and Control · Mathematics 2025-06-17 Bixing Qiao , Jianfeng Zhang

While the topic of mean-field games (MFGs) has a relatively long history, heretofore there has been limited work concerning algorithms for the computation of equilibrium control policies. In this paper, we develop a computable policy…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Muhammad Aneeq uz Zaman , Kaiqing Zhang , Erik Miehling , Tamer Başar

In the framework of finite games in extensive form with perfect information and strict preferences, this paper introduces a new equilibrium concept: the Perfect Prediction Equilibrium (PPE). In the Nash paradigm, rational players consider…

Computer Science and Game Theory · Computer Science 2021-02-01 Ghislain Fourny , Stéphane Reiche , Jean-Pierre Dupuy

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…

Computer Science and Game Theory · Computer Science 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

Computer Science and Game Theory · Computer Science 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

In this paper, we consider both finite and infinite horizon discounted dynamic mean-field games where there is a large population of homogeneous players sequentially making strategic decisions and each player is affected by other players…

Computer Science and Game Theory · Computer Science 2019-10-23 Deepanshu Vasal

This paper addresses a Stackelberg stochastic linear-quadratic (LQ) differential game under closed-loop information, a problem inherently time-inconsistent. Existing approaches rely on solving two coupled Hamilton-Jacobi-Bellman (HJB)…

Optimization and Control · Mathematics 2026-04-27 Qi Lü , Bowen Ma , Hanxiao Wang

This paper establishes a data-driven solution for infinite horizon linear quadratic Gaussian Mean Field Games with network-coupled heterogeneous agent populations where the dynamics of the agents are unknown. The solution technique relies…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Jean Zhu , Shuang Gao

In this work we consider a stochastic linear quadratic two-player game. The state measurements are observed through a switched noiseless communication link. Each player incurs a finite cost every time the link is established to get…

Computer Science and Game Theory · Computer Science 2017-09-21 Dipankar Maity , Achilleas Anastasopoulos , John S. Baras

We analyze in this paper finite horizon hierarchical signaling games between (information provider) senders and (decision maker) receivers in a dynamic environment. The underlying information evolves in time while sender and receiver…

Computer Science and Game Theory · Computer Science 2019-07-24 Muhammed O. Sayin , Emrah Akyol , Tamer Basar

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…

Optimization and Control · Mathematics 2022-10-24 Kaixin Kang , Jingtao Shi

In this paper, we revisit the two-player continuous-time infinite-horizon linear quadratic differential game problem, where one of the players can sample the state of the system only intermittently due to a sensing constraint while the…

Optimization and Control · Mathematics 2024-06-11 Shubham Aggarwal , Tamer Başar , Dipankar Maity

We investigate the consequences of allowing players to adopt strategies which take advantage of quantum randomization devices. In games of full information, the resulting equilibria are always correlated equilibria, but not all correlated…

Optimization and Control · Mathematics 2011-10-24 Gordon B. Dahl , Steven E. Landsburg

We investigate a privacy-signaling game problem in which a sender with privacy concerns observes a pair of correlated random vectors which are modeled as jointly Gaussian. The sender aims to hide one of these random vectors and convey the…

Information Theory · Computer Science 2022-03-08 Ertan Kazıklı , Sinan Gezici , Serdar Yüksel

We study dynamic signaling when the informed party does not observe the signals generated by her actions. A long-run player signals her type continuously over time to a myopic second player who privately monitors her behavior; in turn, the…

Theoretical Economics · Economics 2020-07-31 Gonzalo Cisternas , Aaron Kolb

We consider a general time-inconsistent stochastic linear-quadratic differential game. The time-inconsistency arises from the presence of quadratic terms of the expected state as well as state-dependent term in the objective functionals. We…

Mathematical Finance · Quantitative Finance 2024-05-15 Qinglong Zhou , Gaofeng Zong