Consider a contract over trade in continuous time between two players, according to which one player makes a payment to the other in exchange for an exogenous service. At each point in time, either player may unilaterally require an adjustment to the contract payment, involving adjustment costs...

We analyze the optimal choice of risk in a two-stage tournament game between two players that have different concave utility functions. At the first stage, both players simultaneously choose risk. At the second stage, both observe overall risk and simultaneously decide on effort or investment....