We study stochastic games with incomplete information on one side, in which the transition is controlled by one of the players. We prove that if the informed player also controls the transitions, the game has a value, whereas if the uninformed player controls the transitions, the max-min value as well as the min-max value exist, but they may differ. We… (More)
We study a simple protocol for communication networks, in which users get no receipt acknowledgment of their requests. As a result, users hold partial and differential information over the state of the protocol. We characterize optimal behavior by viewing the protocol as a stochastic game with partial observation. We also study two classes of protocols that… (More)
a r t i c l e i n f o a b s t r a c t JEL classification: C72 D82 Players who have a common interest are engaged in a game with incomplete information. Before playing they get differential stochastic signals that depend on the actual state of nature. These signals provide the players with partial information about the state of nature and may also serve as a… (More)
We focus on two-player, two-armed bandit games. We analyze the joint effect on the informational spillovers between the players of the correlation between the risky arms, and the extent to which one's experimentation results are publicly disclosed. Our main results only depend on whethert informational shocks bring good or bad news. In the latter case,… (More)
We apply the average cost optimality equation to zero-sum Markov games, by considering a simple game with one-sided incomplete information that generalizes an example of Aumann and Maschler (1995). We determine the value and identify the optimal strategies for a range of parameters.
In a game with incomplete information players receive stochastic signals about the state of nature. The distribution of the signals given the state of nature is determined by the information structure. Different information structures may induce different equilibria. Two information structures are equivalent from the perspective of a modeler, if they induce… (More)