In Iwao Hirose & Andrew Reisner (eds.), Weighing and Reasoning: Themes from the Philosophy of John Broome. Oxford University Press. pp. 129-39 (2015)

Luc Bovens
University of North Carolina, Chapel Hill
In decision-theory, the notion of regret enters into the minimax decision-rule and has a determinate usage in this context. However, there are many alternative ways of conceiving of regret. The chapter constructs the einmalist- nicht-keinmal ('once is not never') game, in which a single sampling radically changes the expected value of the game in a way that is quite counterintuitive, as the basis for studying regret after a loss following the choice of an uncertain action. Crucially, the very loss affects the posterior expectation of the game and the posterior credence about the objective chances of a win. Our taxonomy of regret contains regret over the action chosen and regret over the outcome obtained as its main categories, and is mirrored by a taxonomy of joy after a win following the choice of an uncertain action, and is used to critique of Krähmer and Stone's analysis of risk aversion for uncertain actions.
Keywords Regret  Decision-Theory  Risk Aversion
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