Bets on Hats - On Dutch Books Against Groups, Degrees of Belief as Betting Rates, and Group-Reflection
Abstract in UndeterminedThe aim was to use Todd Ebert's Hats puzzle to devise a Dutch Book showing that individual rationality could add up to collective irrationality even if the players aim to promote common goals. Situations in which this happens involve violations of what might be called the Group-Reflection Principle. The Dutch book that can be set up against groups that violate Group-Reflect
