We give a functional description of the space of stochastic integrals with respect to a given family of martingales, based on the notion of direct integral of Hilbert spaces. We define the multiplicity function of a filtration and show, using our Hilbert space construction, that the multiplicity...

The optimal contracts in portfolio delegation are characterized when the underlying state variable is not contractible and the principal must rely on the final wealth of portfolios to design compensation schemes for the fund manager. We show that finding the optimal contracts for general utility...

Uncertainty in expected return estimates introduces a risk that is small over short periods of time and therefore often ignored. However, it becomes very important over longer horizons, in some circumstances outweighing more conventional risks. This paper demonstrates the effect of incorporating...

The incomplete information financial economic equilibrium (IIE) literature has been growing at an increasing rate since its inception in the early 1980s. This paper examines issues and concepts essential to understanding, implementing, and testing IIE and understanding its relation to complete...

Simultaneous research efforts made in 1962 by Gary Becker and Vernon Smith proved that neither rationality nor complete information are necessary market conditions to reach a competitive equilibrium. Although behavioral extensions to this framework have shown significant progress towards a...

The optimal contracts in portfolio delegation under general preferences are characterized when the underlying state variable is not contractible, and the principal must rely on the final returns of portfolios to design the compensation schemes for the fund manager. We show that the optimal...

We study a notion of good-deal hedging, that corresponds to good-deal valuation and is described by a uniform supermartingale property for the tracking errors of hedging strategies. For generalized good-deal constraints, defined in terms of correspondences for the Girsanov kernels of pricing...

Modelling cause and effect relationships has been a major challenge for statisticians in a wide range of application areas. Bayesian Networks (BN) combine graphical analysis with Bayesian analysis to represent causality maps linking measured and target variables. Such maps can be used for...

The solution of a multistage stochastic programming problem needs a suitable representation of uncertainty which may be obtained through a satisfactory scenario tree construction. There is a trade-off between the level of accuracy in the description of the stochastic component and the...

We formulate and solve a costly multi-unit search problem for the optimal selling of a stock of goods. Our showcase application is an inventory liquidation problem with fixed holding costs, such as warehousing, salaries or floor planning. A seller faces a stream of buyers periodically arriving...