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Reference.org
Nonlinear expectation
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<p>In <a href="/facts/Probability_theory/mFBn51rE">probability theory</a>, a nonlinear expectation is a nonlinear generalization of the <a href="/facts/Expected_value/1XV0JKL8">expectation</a>. Nonlinear expectations are useful in <a href="/facts/Utility_theory/wlMDG74L">utility theory</a> as they more closely match human behavior than traditional expectations. The common use of nonlinear expectations is in assessing risks under uncertainty. Generally, nonlinear expectations are categorized into sub-linear and super-linear expectations dependent on the additive properties of the given sets. Much of the study of nonlinear expectation is attributed to work of mathematicians within the past two decades. </p>