We present a new implication of Aumann and Serrano's (2008) index of riskiness for decision makers: if one gamble is riskier than another gamble, decision makers whose initial wealth level is above a certain threshold, and who reject the less risky gamble, will also reject the riskier one. A similar (but not identical) result is shown for multiplicative gambles.
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- Acceptance dominance
- Risk aversion
- Stochastic dominance