Dutch Book Arguments

Our beliefs come in degrees. I''m 70% confident it will rain tomorrow and 0.001% sure my lottery ticket will win. What''s more we think these degrees of belief should abide by certain principles if they are to be rational. For instance you shouldn''t believe that a person''s taller than 6ft more strongly than you believe that they''re taller than 5ft since the former entails the latter. In Dutch Book arguments we try to establish the principles of rationality for degrees of belief by appealing to their role in guiding decisions. In particular we show that degrees of belief that don''t satisfy the principles will always guide action in some way that is bad or undesirable. In this Element we present Dutch Book arguments for the principles of Probabilism Conditionalization and the Reflection Principle among others and we formulate and consider the most serious objections to them.