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Cumulative Prospect Theory

A behavioral decision theory proposed by Tversky and Kahneman that describes human risk decision-making under uncertainty using a probability weighting function and a value function. It posits different risk attitudes toward gains and losses.

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Nov 5

Cumulative Prospect Theory (CPT) was proposed by Tversky and Kahneman in 1992 as an improvement on the original prospect theory, used to describe human risky decision-making under uncertainty.

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Nov 5

The core of CPT consists of two points: the probability weighting function (assigning excessive weight to small-probability events and insufficient weight to medium- and high-probability events) and the value function (defining gain and loss utility relative to a reference point, with a steeper loss region, and risk aversion in the gain region and risk seeking in the loss region).

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Nov 5

CPT utility is a nonlinear functional of the reward distribution, not a linear expectation of reward, which breaks the linear additivity of expectation that traditional optimistic algorithms rely on.

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