@TechReport{iza:izadps:dp3121, author={Bellemare, Charles and Bissonnette, Luc and Kröger, Sabine}, title={Flexible Approximation of Subjective Expectations Using Probability Questions: An Application to the Investment Game}, year={2007}, month={Oct}, institution={Institute of Labor Economics (IZA)}, address={Bonn}, type={IZA Discussion Paper}, number={3121}, url={https://www.iza.org/publications/dp3121}, abstract={We use spline interpolation to approximate the subjective cumulative distribution function of an economic agent over the future realization of a continuous (possibly censored) random variable. The method proposed exploits information collected using a small number of probability questions on expectations and requires a weak prior knowledge of the shape of the underlying distribution. We find that eliciting 4 or 5 points on the cumulative distribution function of an agent is sufficient to accurately approximate a wide variety of underlying distributions. We show that estimated moments of general functions of the random variable can be computed analytically and/or using standard simulation techniques. We illustrate the usefulness of the method by estimating a simple model to asses the impact of expectations on investment decisions in a commonly used trust game.}, keywords={decision making under uncertainty;approximation of subjective expectations;spline interpolation}, }