The paper shows that financial market equilibria need not exist if agents possess cumulative prospect theory preferences with piecewise-power value functions. The reason is an infinite short-selling problem. But even when a short-sell constraint is added, non-existence can occur due to...

We examine time discounting factors in an international survey. Our analysis reveals a significant relationship between time discount factors and historical equity premiums across 27 countries. This result implies that higher historical equity risk premiums are observed in countries where survey...

In this paper, we first show that for classical rational investors with correct beliefs and constant absolute or constant relative risk aversion, the utility gains from structured products over and above a portfolio consisting of the risk-free asset and the market portfolio are typically much...

We demonstrate that in simple 2×2 games (cumulative) prospect theory preferences can be (semi-)evolutionarily stable, in particular, a population of players with prospect theory preferences is stable against more rational players, i.e. players with a smaller degree of probability weighting. We...

We prove a formula for the computation of optimal financial investments in an expected utility framework with arbitrary (not necessarily concave) utility functions. This extends classical results on optimal financial investments for strictly concave utility functions and is of importance...

We extend the original form of Prospect Theory by Kahneman and Tversky from finite lotteries to arbitrary probability distributions, thus paving the way for applications in economics and finance. Moreover, we suggest a method how to incorporate a crucial step of the “editing phase” into...

We study how the framework of classical game theory changes when the preferences of the players are described by Prospect Theory instead of Expected Utility Theory. Specifically, we study the influence of framing effect and probability weighting on the existence and specific structure of Nash...

We prove that under very weak conditions optimal financial products have to be co-monotone with the inverted state price density. Optimality is meant in the sense of the maximization of an arbitrary preference model, e.g. Expected Utility Theory or Prospect Theory. The proof is based on methods...

Based on the APARCH model and two outlier detection methods, we compute reliable time series of volatility asymmetry for 49 countries with relatively few observations. Results show a steady increase in the asymmetry over the years for most countries. We find that economic development and market...

We show that security-potential-aspiration theory (SP/A) and cumulative prospect theory (CPT), although based on very different psychological principles are mathematically very similar when studied in the appropriate framework. This helps to interpret results on portfolio optimization under...