We study the pricing and hedging of derivative securities with uncertainty about the volatility of the underlying asset. Rather than taking all models from a prespecified class equally seriously, we penalise less plausible ones based on their "distance" to a reference local volatility model. In...

We analyze a class of games with interdependent values and linear best responses. The payoff uncertainty is described by a multivariate normal distribution that includes the pure common and pure private value environment as special cases. We characterize the set of joint distributions over...

We present a dynamic equilibrium model to understand differences and interactions between informational and trading speed advantages. The model is a stochastic asynchronous game, with endogenous trading decisions and non-cooperation among agents, in a limit order market. We show that welfare and...

We study dynamic signaling in a game of stochastically evolving stakes. Our motivating example is dynamic limit pricing in markets with persistent demand shocks. An incumbent is privately informed about its costs, high or low, and can deter a potential entrant by setting prices strategically....

In an economy of interacting agents with both idiosyncratic and aggregate shocks, we examine how the information structure determines aggregate volatility. We show that the maximal aggregate volatility is attained in a noise free information structure in which the agents confound idiosyncratic...

The concept of model uncertainty is one of increasing importance in the field of Mathematical Finance. The main goal of this work is to explore model uncertainty in the specific area of algorithmic and high frequency trading. From a behavioural perspective, model uncertainty naturally leads to...