CitedEvidence
User Settings
Article

Среднеквадратичное равновесное решение в игровой задаче

Матвеев Владимир Александрович-2010-01-01-CyberLeninK (CyberLeninka)
0

TL;DRAbstract

The paper considers the following mathematical model: a game problem for n persons with vector payoffs. The Nash-Pareto equilibrium is usually used as a solution in this case. As a rule, there is an infinite set of such solutions, so a refinement problem arises. The root-mean-square equilibrium is suggested. The paper presents the existence conditions of this solution and adduces a model example.

Chat with Paper

AI Agents for this Paper

The paper considers the following mathematical model: a game problem for n persons with vector payoffs. The Nash-Pareto equilibrium is usually used as a solution in this case. As a rule, there is an infinite set of such solutions, so a refinement problem arises. The root-mean-square equilibrium is suggested. The paper presents the existence conditions of this solution and adduces a model example.

Keywords

Mathematical economicsNash equilibriumMathematicsPareto principleSet (abstract data type)Mathematical optimizationRoot (linguistics)Applied mathematics

Chat

Click to start Chat