Decision-Making Calculators

• Calculators for Models of Risky Decision Making
  • RAM Model and CPT 92 Calculator by Birnbaum and Bailey 1998
  • TAX Model and CPT 95 Calculator by Birnbaum and Bailey 1998
  • CPT Calculator by Veronika Köbberling 2002-takes up to 4 branches both positive and negative
  • Link to Behavioral Finance--CPT Calculators with any number of outcomes
  • ADM_calc. Additive Difference Model Parameter Grid Search Calculator. See Birnbaum (2020).
• Programs that select "random gambles" to explore Risky Decision Making Models
  • Random 3-branch Gambles chooser. This program checks for Stochastic Dominance and for predicted violations of stochastic dominance in the TAX model. See Birnbaum's (2004) article in J. Math Psych.
  • Priority Heuristic Calculator-Model of Brandstätter, et al. (2005).
  • Calculator to Explore Predicted Violations of Transitivity in the Pele Schramm model, JavaScript by Lucy Wan
• Programs to Simulate Data for Analysis
  • True and Error Simulator--simulates data for 2 choices with 2 reps
  • MARTER_sim.htm Markov Process Plus TE Model 8 X 8 by Birnbaum and Wan (2020)
  • iid_sim.htm Simulation program for iid choices; control for Markov and TE process (described in Birnbaum and Wan, 2020).
  • Markov Model for stable state and n-step matrix by Hiroshi Fukuda See Birnbaum and Wan (2020).
  • Simulation program for Stochastic model of parameters changing in the Additive Difference Model with power functions and simulated preference patterns in a test of transitivity. (See Birnbaum and Wan (2020), Birnbaum (2020), and Butler and Pogrebna (2018).
  • ADM_sim.htm Simulates Stochastic parameters in ADM model with Birnbaum's notation.
• Miscellaneous Demo Calculators in JavaScript
  • Bayesian Inference Calculator by Birnbaum
  • Numerical/Scientific Calculator by Birnbaum (teaches Math Object)

References

• Birnbaum, M. H. (2004). Causes of Allais common consequence paradoxes: An experimental dissection. Journal of Mathematical Psychology, 48, 87-106.
• Birnbaum, M. H. (2020). Reanalysis of Butler and Pogrebna (2018) using true and error model. Judgment and Decision Making, 15(6), 1044-1051.
• Birnbaum, M. H. (submitted). Testing transitivity of preference in individuals. Revision Under Review, xx, xxx-xxx.
• Birnbaum, M. H., & Diecidue, E. (2015). Testing a class of models that includes majority rule and regret theories: Transitivity, recycling, and restricted branch independence. Decision, 2, 145-190.
  
• Birnbaum, M. H., & Wan, L. (2020). MARTER: Markov True and Error model of drifting parameters. Judgment and Decision Making, 15(1), 47-73.
  Link to the journal issue where you can download pdf of the paper and also the supplement with program files
• Butler, D. J., & Pogrebna, G. (2018). Predictably intransitive preferences. Judgment and Decision Making, 13, 217-236.

This material is based upon work supported by the National Science Foundation under Grants No. SBR-9410572, SES-9986436, and BCS-0129453. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.