In an asymmetric tournament model with endogenous risk choice by the agents it is shown that equilibrium efforts decrease (increase) with risk if abilities are sufficiently similar (different). Risk also affects winning probabilities. The interaction of both effects is analyzed.

We analyze the optimal choice of risk in a two-stage tournament game  between two players that have different concave utility functions. At the first stage, both players simultaneously choose risk. At the second stage, both observe overall risk and simultaneously decide on effort or investment....