In this paper we test several risk management models for computing expected shortfall for one-period hedge errors of hedged derivatives positions. Contrary to value-at-risk, expected shortfall cannot be tested using the standard binomial test, since we need information of the distribution in the...

In a risk exchange, participants trade a privately owned risk for a share in a pool. If participants agree on a valuation rule, it can be decided whether or not, according to the given rule, these trades take place at equal value. If equality holds for all participants, then the exchange is said...

This paper develops a pension product that is explicit about the pre-established goals that are aimed for. The proposed product presents a trade-off that is transparent in terms of required contributions, the income level targeted and guarantees offered. Depending on participants' preferences,...

Distortion functions are employed to define measures of risk. Receiver operating characteristic (ROC) curves are used to describe the performance of parametrized test families in testing a simple null hypothesis against a simple alternative. This paper provides a connection between distortion...

A theory for disturbance decoupling problems has been well developed in the area of geometric control theory. The aim of the present study is to introduce disturbance decoupling problems in a dynamic game context. For this purpose, techniques from geometric control theory are applied. Necessary...

Maxmin or minmax optimization problems arise in many applications. There is a classical connection between these problems and zero-sum games. This paper shows that, under certain conditions, maxmin solutions also arise from Nash equilibria of population games as studied in evolutionary game...

This paper analyzes the problem of designing macroeconomic stabilization policies within the European Monetary Union (EMU) as a dynamic game between a centralized monetary authority, the European Central Bank (ECB), and national fiscal policy makers. Non-cooperative feedback Nash equilibrium and...