Compensated Discount Functions - An Experiment on Integrating Rewards with Expected Income

Abstract

This paper examines the empirical question of whether subjects’ static choices among rewards received at different times are influenced by their expected income levels at those times. Moreover, we recover time preferences after compensating for possible income effects. Besides eliciting subjects’ preference between standard delayed rewards, the experimental design also elicited their preferences over delayed rewards that are received only if the subject’s income remains approximately constant. These preferences, along with elicited subjective probabilities of satisfying the condition, make the correction possible. We conducted the experiments in Iceland, where our prompt access to income tax records enabled us to condition delayed rewards on income realizations. We find that background income is associated with preferences over unconditional delayed rewards. While most people exhibited present bias when comparing unconditional delayed rewards, subjects with stable income did not. The results are similar for the entire sample once we correct subjects’ discount functions for income effects. This suggests that income expectations have an effect on choices between future rewards, and that this may account for some of the present-bias observed in experiments.The Supplement for this paper is available at the following URL: http://ssrn.com/abstract=2446690