| Article ID: | iaor201110204 |
| Volume: | 72 |
| Issue: | 10 |
| Start Page Number: | 2181 |
| End Page Number: | 2187 |
| Publication Date: | Oct 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Chkhartishvili G, Fedyanin N |
| Keywords: | control, markov processes, game theory |
We present an analysis of game model that represents a composition of Markov model of social network and a new model of behavior of the agents under lump sum payment of the principal. We calculated Nash equilibria, conditions on types of the agents within social network and found an algorithm of optimal control of social network. Based on these results, optimal control for types is developed which ensures maximum goal function of the principal.