  Data visualizations are standard tools for assessing and communicating risks.
However, it is not always clear which designs are optimal or how encoding
choices might influence risk perception and decision-making. In this paper, we
report the findings of a large-scale gambling game that immersed participants
in an environment where their actions impacted their bonuses. Participants
chose to either enter a draw or receive guaranteed monetary gains based on five
common visualization designs. By measuring risk perception and observing
decision-making, we showed that icon arrays tended to elicit economically sound
behavior. We also found that people were more likely to gamble when presented
area proportioned triangle and circle designs. Using our results, we model risk
perception and decisions for each visualization and provide a ranking to
improve visualization selection.
