We introduce a representation theory for risk operations on locally compact groups in a partition of unity on a topological manifold for Markowitz-Tversky-Kahneman (MTK) reference points. We identify (1) risk torsion induced by the flip rate for risk averse and risk seeking behavior, and (2) a...

The paper deals with maritime risk, which we consider important, no doubt, for ship-owners acting in volatile markets. Traditionally, risk is measured by "standard deviation". Other risk measures like "excess kurtosis", "excess skewness", "long-term dependence" and the "catastrophe propensity"...

The article is devoted to estimating the uncertainty parameters of Russian GDP on history, that arises as a result of revisions and refinements of data over time. A brief review of the reasons for the revisions allows us to form an understanding of their necessity and importance. For analysis,...

This paper examines a declining duopoly, where firms must choose when to exit from the market. The exogenous shock in the industry follows an exponential jump-diffusion process. We find Markov-perfect equilibria in firms' exit strategies. With small asymmetry in the firm-specific parameters,...

It has long been understood that risk aversion reduces the likelihood of suit. This article offers a simple proof that risk aversion is observationally equivalent to risk-neutral pessimism by applying a change of measure to risk-neutral probabilities. The observational equivalence of risk...

Subdiffusive processes can be used in finance to explicitly accommodate the presence of random waiting times between trades or "duration", which in turn allows the modelling of price staleness effects. Option pricing models based on subdiffusions are incomplete, as they naturally account for the...