A derivative asset is a security whose payoff is entirely determined by the prices of one or more underlying securities. Call and put options on stocks are simple examples. Since 1973, when Black and Scholes published their path-breaking option price formula, a rapidly growing literature has...

Several authors have derived closed-form option prices in models where the underlying financial variable follows a diffusion process with the following two charactieristics: (i) the process has natural upper and lower boundaries; (ii) its diffusion coefficient is quadratic in the current value...

We analyze a two-player game of strategic experimentation with two-armed bandits. Each player has to decide in continuous time whether to use a safe arm with a known payoff or a risky arm whose likelihood of delivering payoffs is initially unknown. The quality of the risky arms is perfectly...

We analyze continuous-time games of strategic experimentation with two-armedbandits when there is no discounting. We show that for all specifications of priorbeliefs and payoff-generating processes that satisfy some separability condition, the unique symmetric Markov perfect equilibrium can be...

We study a continuous-time game of strategic experimentation in which the players try to assess the failure rate of some new equipment or technology. Breakdowns occur at the jump times of a Poisson process whose unknown intensity is either high or low. In marked contrast to existing models, we...

We consider two players facing identical discrete-time bandit problems with a safe and a risky arm. In any period, the risky arm yields either a success or a failure, and the first success reveals the risky arm to dominate the safe one. When payoffs are public information, the ensuing free-rider...

We analyze a two-player game of strategic experimentation with two-armed bandits. Each player has to decide in continuous time whether to use a safe arm with a known payoff or a risky arm whose likelihood of delivering payoffs is initially unknown. The quality of the risky arms is perfectly...

We propose a life-cycle model of the housing market with a property ladder and a credit constraint. We focus on equilibria which replicate the facts that credit constraints delay some households' first home purchase and force other households to buy a home smaller than they would like. The model...