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Cumulative Prospect Theory (CPT) Lottery Calculator — Compatibility Version (no dynamic arrays)
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Inputs (yellow)Outputs (green)
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OutcomeAmount (x)Probability (p)MetricValueSorted outcomes (by x)
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1$200.0050.0%CPT utility (prospect value)-30.41Keyx_sortedp_sortedv(x)cum_losstail_gainπ_lossπ_gain
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2-$200.0050.0%Certainty equivalent (CE)-$30.0-199.999999998-$200.000.500-138.6289690.5000.5000.4387710.000000
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3-$50.000.0%Risk Premium (=CE-EP)$30.03-49.999999997-$50.000.000-45.7305050.5000.5000.0000000.000000
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Expected Payoff (EP)$0.00200.000000001$200.000.50069.3144840.5000.5000.0000000.438771
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Prospect Theory parametersKey1200.000000001
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alpha (gains curvature)0.800Key2-199.999999998
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beta (losses curvature)0.800Key3-49.999999997
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lambda (loss aversion)2.000
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gamma (gain weighting)0.650
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delta (loss weighting)0.650
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Sum of probabilities100.0%
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Check (should be 100%)OK
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Tip:
Set unused outcomes' probability to 0.
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