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...

In this paper, we axiomatize a target-based model of choice that allows decision makers to be both risk averse and risk seeking, depending on the payoff's position relative to a pre- specified target. The approach can be viewed as a hybrid model, capturing in spirit two celebrated ideas: first,...

In this paper we present a two period model, where the agent's preferences are described by prospect theory as proposed by Kahneman and Tversky. We solve for the agent's portfolio decision. Our findings are that the changes in portfolio weights depend crucially on the reference point and the...

Ambiguity aversion in dynamic models is motivated by the presence of unknown time-varying features, which agents do not understand and cannot theorize about. We analyze the consequences of this assumption for economic agents and model builders, who typically need to estimate a model, e.g., to...

Estimates of agents' risk aversion dier between market studies and experimental studies. We demonstrate that the estimates can be reconciled through consistent treatment of agents' tendency for narrow framing, regarding integration of background wealth as well as across risky outcomes: Risk...

A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, non financial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire...

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...

This study develops a framework for dealing with stochastic reference points and endogenously selecting the reference point in reference-dependent choice theories that accounts for the joint probability distribution of the prospects and the reference point. Without accounting for the dependence...

We analyze the risk levels chosen by agents who have private information regarding their quality, and whose performance will be judged and rewarded by outsiders. Assume that risk choice is observable. Even risk-neutral agents will choose risk strategically to enhance their expected reputation....