Before revision:  In particular, our comparative statics results are useful when an increase in the lottery's riskiness increases the agent's optimal action , but an increase in the lottery's expected value decreases the agent's optimal action .
After revision:  In particular, our comparative statics results are useful when an increase in the lottery's riskiness increases the agent's optimal action in the opposite direction to an increase in the lottery's expected value decreases the agent's optimal action .