In the first part of the dissertation, I study evolutionary models when players interact on networks. We show that the prediction of the standard model is network-independent and the evolutionary dynamics always lead to the risk dominant selection. Next, we modify the standard model and assume that small groups of players may act cooperatively. We show that in such a situation the prediction depends on the network: the dynamics may select the risk-dominant, the payoff-dominant and sometimes neither of these. The second part is devoted to repeated games. We study a situation in which only one player is informed about one of two possible states of the world and only the informed player's pay-offs depend on this state. The other player forms beliefs. We characterize set of all equilibrium payoffs when players become increasingly patient.
My Research
