A zero sum differential game with correlated informations on the initial position. A case with a continuum of initial positions

DOI10.3934/JDG.2021009zbMath1479.91045OpenAlexW3139126671MaRDI QIDQ825254

Chloe Jimenez

Publication date: 17 December 2021

Published in: Journal of Dynamics and Games (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jdg.2021009

zbMATH Keywords

differential gamesymmetric informationWasserstein distancecontinuous initial distributionIsaacs conditionfunctional on measures

Mathematics Subject Classification ID

Noncooperative games (91A10) 2-person games (91A05) Differential games (aspects of game theory) (91A23)

Related Items (1)

Dynamical Systems and Hamilton–Jacobi–Bellman Equations on the Wasserstein Space and their L² Representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential games with incomplete information on a continuum of initial positions and without Isaacs condition
• Existence of value for differential games with incomplete information and signals on initial states and payoffs
• Pure and random strategies in differential game with incomplete informations
• Differential games with asymmetric information and without Isaacs' condition
• Differential games with asymmetric and correlated information
• A double obstacle problem arising in differential game theory
• On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
• A two-player zero-sum game where only one player observes a Brownian motion
• On the variational principle
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Hamilton-Jacobi-Isaacs equations for differential games with asymmetric information on probabilistic initial condition
• A Probabilistic Representation for the Value of Zero-Sum Differential Games with Incomplete Information on Both Sides
• Variational Analysis in Sobolev andBVSpaces
• Differential Games with Asymmetric Information
• DETERMINISTIC DIFFERENTIAL GAMES UNDER PROBABILITY KNOWLEDGE OF INITIAL CONDITION

This page was built for publication: A zero sum differential game with correlated informations on the initial position. A case with a continuum of initial positions