It is well-known that various criteria for comparing aversion to real-outcome risks are equivalent. Some of this theory has been extended to Euclidean-outcome risks. We extend it further by:(a) filling the conceptual gaps, most notably by providing a criterion using our generalized Arrow-Pratt...

This article examines the optimal selling mechanism problem in real estate market using mean-variance analysis and downside risk analysis. When sellers can choose between accepting the first offer above a reservation price or auctions (waiting an optimal and fixed time), more risk averse sellers...

Using properties of the cdf of a random variable defined as a saddle-type point of a real valued continuous stochastic process, we derive first-order asymptotic properties of tests for stochastic spanning w.r.t. a stochastic dominance relation. First, we define the concept of Markowitz...

We investigate what it means for one act to be more ambiguous than another. The question is evidently analogous to asking what makes one prospect riskier than another, but beliefs are neither objective nor representable by a unique probability. Our starting point is an abstract class of...

We investigate whether alternative asset classes should be included in optimal portfolios of the most prominent investor personae in the Behavioral Finance literature, namely, the Cumulative Prospect Theory, the Markowitz and the Loss Averse types of investors. We develop a stochastic spanning...

We present the first calibration of quantum decision theory (QDT) to an empirical data set. The data comprise 91 choices between two lotteries (two "prospects") presented in 91 random pairs made by 142 subjects offered at two separated times. First, we quantitatively account for the fraction of...

We derive critical values for the violation area in Nth order Almost Stochastic Dominance based on the Nth degree coefficient of relative risk aversion of reasonable utility functions. Our critical values are consistent with existing experimental estimates but apply for a broader range of choice...

This paper analyzes the problem faced by a risk-averse firm considering how much to invest in a risky project. The firm receives a signal about the value of the project. We derive necessary and sufficient conditions on the signal distribution such that (i) the agent's investment is nondecreasing...

This article examines the optimal selling mechanism problem in real estate market using mean-variance analysis and downside risk analysis. When sellers can choose between accepting the first offer above a reservation price or auctions (waiting an optimal and fixed time), more risk averse sellers...

Investments in energy technologies are substantially governed by climate policy. We demonstrate analytically that price-based instruments, such as carbon-taxes, and quantity-based regulations, like emission trading systems, have distinct effects on the (co-)variance of power plant profits. If...