The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this...

We studied information and interaction processes in six lending relationships between a universal bank and medium sized firms. The study is based on the credit files of the respective firms. If no problems occur in these lending relationships, bank monitoring is based mainly on cheap,...

We scrutinize the use of value at risk as traders' limit in banks. Thereby, we compare a bank with uninformed traders dealing on a perfect capital market, with a bank in which traders receive a noisy signal about the future price of the stock they are dealing in. Additionally, they are able to...

McAfee and Reny (1992) have given a necessary and sufficient condition for full surplus extraction in models with a continuum of types. We interpret their condition as significantly stronger version of the requirement of injectiveness of the function mapping abstract types into beliefs and prove...

Neeman (2004) and Heifetz and Neeman (2006) have shown that, in auctions with incomplete information about payoffs, full surplus extraction is only possible if agents’ beliefs about other agents are fully informative about their own payoff parameters. They argue that the set of...