In many repeated interactions, repetition is not guaranteed but instead must be agreed upon. We formulate a model of voluntary repetition by introducing outside options to a repeated Prisoner’s Dilemma and investigate how the structure of outside options affects the sustainability of mutual...

In the modern society, mobility of players has increased dramatically. It is important to extend game theory to endogenize the set of players. In this paper, we extend the repeated n-person Prisoner's Dilemma by allowing some or all players to exit after each period and analyze how mobility...

In the current mobile world, repeated relationships ("communities") must be self-sustained. We formulate a framework in which some or all players strategically choose whether to terminate or repeat an N-person game. A dynamic game ends when a certain number of players choose termination. To...

Theoretical literature on collusion has focused on a specific formulation of payoff fluctuations, namely by demand shocks, and showed that payoff fluctuations are bad for collusion. Introducing general payoff fluctuations, we show that (i) payoff fluctuations may strictly reduce the minimum...

If agents can choose when to end a repeatable interaction as well as what to do within the partnership, cooperation incentives are interrelated with the ending decision. Using a Prisoner's Dilemma with outside options, we investigate how the structure of outside options affects the minimum...

Research on cartel inspection has considered dynamic behaviors of firms but not of the regulator. The current paper allows the antitrust authority to choose the level of cartel monitoring intensity and its dynamic patterns. Specifically, we compare stationary monitoring policies with "switching"...

In the current mobile world, repeated relationships (communities) must be self-sustained by its members. We formulate a framework in which some or all players strategically choose whether to repeat an N-person game or to terminate it. This dynamic game ends when a certain number of players...