A more serious worry confronts IP when you have to make sequences of decisions. There is a rich literature in economics on sequences of decisions for agents who fail to be orthodox expected utility maximisers (Seidenfeld 1988; 1994; Machina 1989; Al-Najjar and Weinstein 2009, and the references therein). This topic was brought to the attention of philosophers again after the publication of Elga’s (2010) paper Subjective Probabilities Should Be Sharp which highlights the problem with a simple decision example, although a very similar example appears in Hammond (1988) in relation to Seidenfeld’s discussion of Levi’s decision rule “E-admissibility” (Seidenfeld 1988).