 where \(\Pr_{A_i}(S_j)\) is roughly how likely the agent considers \(S_j\) given that she has performed act \(A_i\). Difficulties about how this quantity should be defined give rise to the schism between evidential and causal decision theory (see Section 3.3 in Thoma, 2019). However, in many situations, including the dilemma of the omelet, the act chosen does not affect the probabilities with which states obtain. This is called “act-state independence” in the jargon of rational choice theory. In cases of act-state independence there is broad consensus that \(\Pr_{A_i}(S_j)\) should be equal to the unconditional degree of belief \(\Pr(S_j)\).