Some results in the monotone comparative statics literature tell us that if a parameter increases, some old equilibria are smaller than some new equilibria. We give a sufficient condition such that at a new parameter value every old equilibrium is smaller than every new equilibrium. We also...

The literature on the computation of Nash equilibria in n-person games is dominated by simplicial methods. This paper is the first to introduce a globally convergent algorithm that fully exploits the differentiability present in the problem. It presents an everywhere differentiable homotopy to...

We fuse a social dilemma game and a game pitting the group against nature, where the group's probability of avoiding disaster depends on the resources it raises from members. The result is the Nederlander-Prisoner's Dilemma Game where the cost of failure is equally shared. We introduce the...

We consider generalized sender-receiver games in which the sender also has a decision to make, but this decision does not directly affect the receiver. We introduce specific perfect Bayesian equilibria, in which the players agree on a joint decision after that a message has been sent ("talk and...

Is civil and criminal litigation a search for truth, like science or philosophy, or a game of skill and luck, like the game of poker? Although the process of litigation has been modeled as a Prisoner’s Dilemma, as a War of Attrition, as a Game of Chicken, and even as a simple coin toss, no one...

This paper explores cooperation incentives in the absence of public reputation information, using an infinite-horizon Prisoners' Dilemma model of sequential relationships. We examine a strategy which we call Quit-for-Tat (QFT). In this model, individuals initially are paired randomly. In the...

While there is an extensive literature on the theory of infinitely repeated games, empirical evidence on how %22the shadow of the future%22 affects behavior is scarce and inconclusive. We simulate infinitely repeated prisoner's dilemma games in the lab by having a random continuation rule. The...

Case studies of cartels and recent theory suggest that repeated communication is key for stable cooperation in environments where signals about others' actions are noisy. However, empirically the exact role of communication is not well understood. We study cooperation under different monitoring...