1 Introduction.- 2 Linear Utility on Mixture Sets.- 3 Expected Utility for Probability Measures.- 4 Lexicographic Quasilinear Utility.- 5 Linear Utility for Partially Ordered Preferences.- 6 Linear Utilities on Product Sets.- 7 Multilinear Utility on Products of Mixture Sets.- 8 Multilinear Utility for Probability Measures.- 9 Subjective Linear Utility on Products Of Mixture Sets.- 10 Subjective Expected Utility for Arbitrary State Sets.- 11 Subjective Linear Utility for Partially Ordered Preferences.- 12 Subjective Linear Utility with Conditional Preference Comparisons.- References.