@article{Blanc2023, 
author = {Pablo Blanc and Fernando Charro and Juan J. Manfredi and Julio D. Rossi},
title = {Games associated with products of eigenvalues of the Hessian},
year = {2023},
journal = {Mathematics in Engineering},
volume = {5},
number = {3},
pages = {1-26},
keywords = {eigenvalues of the Hessian, games, Monge-Ampère equations},
url = {https://www.sciopen.com/article/10.3934/mine.2023066},
doi = {10.3934/mine.2023066},
abstract = {We introduce games associated with second-order partial differential equations given by arbitrary products of eigenvalues of the Hessian. We prove that, as a parameter that controls the step length goes to zero, the value functions of the games converge uniformly to a viscosity solution of the partial differential equation. The classical Monge-Ampère equation is an important example under consideration.}
}