{% extends "global/Page.html" %} {% load otree %} {% block title %} Belief about your score {% endblock %} {% block content %}

For example, let's assume that after taking the IQ test, you believe that it is 62% likely that you scored in the top half.

Suppose that you report your belief accurately. Then, if x is below 62%, you will get option A, which gives you a higher probability of winning {{ payment_belief_elicitation }} (namely 62%) than you would get with option B (namely x). If x is above 62%, you will get option B, which gives you a higher chance of winning {{ payment_belief_elicitation }} (namely x) than you would get with option A (namely 62%). So, whatever the value of x, you will always get the option that gives you the highest chance of winning {{ payment_belief_elicitation }}.

Suppose you report an inaccurate beliefs, let's say 10%. Then, if x is below 10%, you will get option A, which gives you a higher probability of winning {{ payment_belief_elicitation }} (namely 62%) than you would get with option B (namely x). If x is above 10%, you will get option B, but this option may give you a lower chance of winning {{ payment_belief_elicitation }} than option A. If x is between 10% and 62%, you get option B, even though you are better off with option A which gives you a probability of 62%. Reporting a wrong belief will therefore reduce your chances of winning {{ payment_belief_elicitation }}.

The logic in this example holds for all probabilities. egardless of your belief about the probability of scoring in the top half, you maximize your chance of winning the prize if you report your true belief.

Remember

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