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643:. For example, an apple and a hat are considered independent: the utility a person receives from having an apple is the same whether or not he has a hat, and vice versa. A typical utility function for this case is given at the right.
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As mentioned above, additivity is a property of cardinal utility functions. An analogous property of
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629:{\displaystyle u(A)=u(\emptyset )+\sum _{x\in A}{\big (}u(\{x\})-u(\emptyset ){\big )}.}
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be a finite set of items. A cardinal utility function
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484:{\displaystyle u(A)+u(B)=u(A\cup B)+u(A\cap B).}
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309:{\displaystyle u:2^{S}\to \mathbb {R} }
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96:March 2021
66:newspapers
766:economics
611:∅
602:−
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562:∑
552:∅
505:⊆
470:∩
449:∪
384:⊆
345:power set
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249:linearity
203:∅
120:economics
680:See also
316:, where
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