Evaluate Kahneman-Tversky Prospect Theory value function with loss aversion and diminishing sensitivity. Value function: v(x) = x^alpha for gains (x ≥ 0), v(x) = -lambda*|x|^beta for losses (x < 0). Captures behavioral phenomena: loss aversion (losses hurt more than gains feel good), reference dependence, and diminishing sensitivity. Returns value, marginal value, and loss aversion ratio. Essential for behavioral economics and decision theory. [Tier: STANDARD, Credits: 2]
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Outcome to evaluate (positive = gain, negative = loss relative to reference)
-100
Diminishing sensitivity exponent for gains (typically 0.88)
0 <= x <= 10.88
Diminishing sensitivity exponent for losses (typically 0.88)
0 <= x <= 10.88
Loss aversion parameter (typically 2.25, meaning losses hurt 2.25x more than gains)
x >= 12.25
Reference point (typically 0 for gains/losses relative to status quo)
0