Games Played by Networked Players

This paper studies how some factors deviate human interaction from what classic game theory predicts. In particular, we focus on the factor of interpersonal relations among human players, which plays a crucial role in their strategy choosing in real-life games. For such a game, we characterise these relations by a directed and weighted social network, and discuss how to integrate its effect into the payoff matrix of the game. Also, we introduce a solution concept named relation equilibrium for such games. Finally, our model is used to analyse how a deviation will happen in a well-known game, prisoner´s dilemma, in the case that the players are networked. Accordingly, our model can be used in explanation, prediction, mechanism design and guide people´s action in real life.