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Prospect Theory Model

v1.0

Prospect Theory models decision making under risk using a non-linear value function and distorted probability weighting.

Structural Form

Prospect value equals weighted subjective gains plus weighted subjective losses.

π(p) = exp(−(−ln p)^γ)
V = π(p_gain)·v(gain) + π(p_loss)·v(loss)

Losses are weighted more heavily than gains and probabilities are psychologically distorted.

Assumptions

  • Reference-dependent preferences
  • Loss aversion
  • Non-linear probability weighting

Outputs

  • Prospect value
  • Weighted probabilities
  • Subjective gain and loss values