Comparing Risks by Acceptance and Rejection

Sergiu Hart

(Acrobat PDF files)

Stochastic dominance is a partial order on risky assets ("gambles") that is based on the uniform preference—of all decision-makers in an appropriate class—for one gamble over another. We modify this, first, by taking into account the status quo (given by the current wealth) and the possibility of rejecting gambles, and second, by comparing rejections that are substantive (that is, uniform over wealth levels or over utilities). This yields two new stochastic orders: "wealth-uniform dominance" and "utility-uniform dominance". Unlike stochastic dominance, these two orders are complete: any two gambles can be compared. Moreover, they are equivalent to the orders induced by, respectively, the Aumann–Serrano (JPE 2008) index of riskiness and the Foster–Hart (JPE 2009) measure of riskiness.

See also:


Last modified:
© Sergiu Hart