Cooperation in real-world dilemmas takes many forms. We introduce a class of two-player games that permits two distinct ways to cooperate in the repeated game. One way to cooperate is to play cutoff strategies, which rely solely on a player's private value to defection. The second cooperative...

Sometimes cooperation between two parties requires exactly one to cede to the other. If the decisions whether to cede are made simultaneously, then neither or both may acquiesce leading to an inefficient outcome. However, inefficiency may be avoided if a party can wait to see what the other...