A Hierarchical Model of a Vector Nash Equilibrium Search in a Control Problem under Conflict and Uncertainty

Abstract

This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).

Neuro-Evolutionary Synthesis of Game Models of Control under Uncertainty Based on Distributed Computing Technology

“…To solve it, the principles of vector minimax and vector minimax regret are used. The hierarchical model of MCOU is considered in [24,25].…”

“…-Antagonistic interaction (principles of guaranteed result and saddle point); -Non-coalition interaction (scalar equilibrium and vector Nash equilibrium, Ω-equilibrium); -Coalition interaction (coalition equilibrium, equilibrium of threats and counter-threats, active equilibrium); -Cooperative interaction (arbitration schemes, Pareto optimality principle). The hierarchical model of Nash vector equilibrium search under uncertainty is considered in [25].…”