This chapter gives an overview of current research in evolutionary fi- nance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas...

Agents with cognitive limitations may compute the expected value of a risky asset incorrectly. If market prices reflect the probabilities of the payoff-relevant states, agents who compute the probabilities incorrectly encounter a market price that is inconsistent with their calculation. We test...

We study the existence of equilibria with endogenously complete markets in a continuous-time, heterogenous agents economy driven by a multidimensional diffusion process. Our main results show that if prices are real analytic as functions of time and the state variables of the model then a suffi-...

Using data for the 1978-2008 period, this study presents evidence for cointegration between securitized (NAREIT) and direct (NCREIF) total return indices. Cointegration between the indices indicates that REITs and direct real estate are substitutable in the portfolio of a long-horizon...

We derive representations for the stock price drift and volatility in the equilibrium of agents with arbitrary, heterogeneous utility functions and with the aggregate dividend following an arbitrary Markov diffusion. We introduce a new, intrinsic characteristic of the aggregate dividend process...

This chapter surveys theoretical research on the long-term performance of fixed-mix investment strategies. These self-financing strategies rebalance the portfolio over time so as to keep constant the proportions of wealth invested in various assets. The main result is that wealth can be grown...

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,...

This paper analyzes competition between mutual funds in a multiple funds version of the model of Hugonnier and Kaniel [18]. We characterize the set of equilibria for this delegated portfolio management game and show that there exists a unique Pareto optimal equilibrium. The main result of this...

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...

Choosing an appropriate benchmark is not unproblematic for academics or practitioners. Index construction methodologies vary from index to index as tradeoffs are made between the breadth of market coverage and the investability of the securities in the index. This paper examines the nuances...