Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
696180 | Automatica | 2014 | 9 Pages |
Abstract
A linear system, called the potential equation (PE), is presented. It is proved that a finite game is potential if and only if its potential equation has solution. Some properties of the potential equation are obtained. Based on these properties, a closed form solution of the PE is obtained. Moreover, a formula based on the solution of the PE is obtained to calculate the potential function. Finally, it is proved that a networked evolutionary game is potential if and only if its fundamental network game is potential. Some interesting examples are presented to illustrate the theoretical results.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Daizhan Cheng,