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 infiniteshort-selling problem. But even when a short-sell constraint is added, non-existence can occur due to...

We demonstrate that in simple 2 X 2 games (cumulative) prospect theorypreferences can be evolutionarily stable, i.e. a population of players withprospect theory preferences can not be invaded by more rational players. Thisholds also if probability weighting is applied to the probabilities of...

We study how the framework of classical game theory changes whenthe preferences of the players are described by Prospect Theory (PT)and Cumulative Prospect Theory (CPT) instead of Expected UtilityTheory. Specically, we study the inuence of framing eects and probabilityweighting on the existence...

We observe that the standard variant of Prospect Theory cannot describe very risk-averse choices in simple lotteries. This makes it diffcult to accommodate it with experimental data. Using an exponential value function can solve this problem and allows to cover the whole spectrum of risk-averse...

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...

Prospect Theory is a widely accepted descriptive framework to model decisions under risk. However, it is limited to situations with finitely many outcomes. Moreover, it is discontinuous, i.e., small changes in a lottery can produce large differences in its utility, contrary to experiments. In...

According to the traditional view held in finance returns of assets are determined by complete rationality of decision makers. Rational decisions are defined by a set of axioms that are universal and do not leave room for cultural differences. In this article we show that cultural differences do...

In this paper we suggest a behavioral foundation for the reward-risk approach to portfolio selection based on prospect theory. We identify sufficient conditions for mutual fund separation in reward-risk models in general and for prospect theory in particular. It is shown that a prospect theory...

Markowitz and Sharpe won the Nobel Prize in Economics more than a decade ago for the development of Mean-Variance analysis and the Capital Asset Pricing Model (CAPM). In the year 2002, Kahneman won the Nobel Prize in Economics for the development of Prospect Theory. Can these two apparently...

We develop an algorithm to compute asset allocations for Kahneman and Tversky's (1979) prospect theory. An application to benchmark data as in Fama and French (1992) shows that the equity premium puzzle is resolved for parameter values similar to those found in the laboratory experiments of...