Decision Making with Imperfect Knowledge of the State Space

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Working paper
Author/s: 
Mengel Friederike, Tsakas Elias and Vostroknutov Alexander
Issue number: 
RM/11/013
Publisher: 
Maastricht University
Year: 
2011
We conduct an experiment to study how imperfect knowledge of the state space affects subsequent choices under uncertainty with perfect knowledge of the state space. Participants in our experiment choose between a sure outcome and a lottery in 32 periods. All treatments are exactly identical in periods 17 to 32 but differ in periods 1 to 16. In the early periods of the “Risk Treatment” there is perfect information about the lottery; in the “Ambiguity Treatment” partici- pants perfectly know the outcome space but not the associated probabilities; in the “Unawareness Treatment” participants have imperfect knowledge about both outcomes and probabilities. All three treatments induce strong behavioural dif- ferences in periods 17 to 32. In particular participants who have been exposed to an environment with very imperfect knowledge of the state space subsequently choose lotteries with high (low) variance less (more) often compared to other par- ticipants. Estimating individual risk attitudes from choices in periods 17 to 32 we find that the distribution of risk attitude parameters across our treatments can be ranked in terms of first order stochastic dominance. Our results show how exposure to different degrees of uncertainty can have long-lasting effects on indi- viduals’ risk-taking behaviour.
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