Multi-Time Generalized Nash Equilibria with Dynamic Flow Applications
Open Access
- 14 July 2021
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 9 (14), 1658
- https://doi.org/10.3390/math9141658
Abstract
We propose a multi-time generalized Nash equilibrium problem and prove its equivalence with a multi-time quasi-variational inequality problem. Then, we establish the existence of equilibria. Furthermore, we demonstrate that our multi-time generalized Nash equilibrium problem can be applied to solving traffic network problems, the aim of which is to minimize the traffic cost of each route and to solving a river basin pollution problem. Moreover, we also study the proposed multi-time generalized Nash equilibrium problem as a projected dynamical system and numerically illustrate our theoretical results.Keywords
Funding Information
- Israel Science Foundation (820/17)
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