The value at risk measure attempts to summarize in a single number market value risk of a portfolio of financial assets.The paper focuses on the interaction between the solvency probability of a bank, on one hand, and the diversification potential of its portfolio, on the other hand, when...

We establish a class of fully nonlinear conditional expectations. Similarly to the usage of linear expectations when a probabilistic description of uncertainty is present, we observe analogue quantitative and qualitative properties. The type of nonlinearity captures the agents sentiments of...

Under risk, Arrow-Debreu equilibria can be implemented as Radner equilibria by continuous trading of few long-lived securities. We show that this result generically fails if there is Knightian uncertainty in the volatility. Implementation is only possible if all discounted net trades of the...

We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.

Due to globalization competitive firms face increasing economic opportunities for locating their activities in countries, regions and cities that provide the best business environment for their specific needs. In our study we focus on the impact of economic risk and risk preferences upon...

We consider fundamental questions of arbitrage pricing arising when the uncertainty model is given by a set of possible mutually singular probability measures. With a single probability model, essential equivalence between the absence of arbitrage and the existence of an equivalent martingale...

Die vorliegende Arbeit untersucht ein Duopol bei unsicherer Nachfrage unter Risikoaversion. Die Produktion der gesamten Industrie fällt durch die Einführung von Nachfrageunsicherheit; der Marktpreis steigt wegen des schwächeren Wettbewerbs. Damit ist die Veränderung des Gewinns und des...

This paper establishes, in the setting of Brownian information, a general equilibrium existence result under a stochastic differential formulation of intertemporal recursive utility. The present class of utility functionals is generated by a backward stochastic differential equation and...

The present paper considers a class of general equilibrium economics when the primitive uncertainty model features uncertainty about continuous-time volatility. This requires a set of mutually singular priors, which do not share the same null sets. For this setting we introduce an appropriate...