Work

A zero-sum differential game for two opponent masses

Year: 2025

Type: article

Abstract: We investigate an infinite dimensional partial differential equation of Isaacs’ type, which arises from a zero-sum differential game between two masses. The evolution of the two masses is described by a controlled transport/continuity equation, where the control is given by the velocity vector field. Our study is set in the framework of the viscosity solutions theory in Hilbert spaces, and we prove the uniqueness of the value functions as solutions of the Isaacs equation.

Source: Partial Differential Equations and Applications

DOI: 10.1007/s42985-025-00322-5

Authors: Fabio Bagagiolo, Rossana Capuani, Luciano Marzufero

Institutions: University of Trento, University of Arizona, Free University of Bozen-Bolzano

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Trento, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni