Strategic Expert Aggregation: A Hierarchical Bayesian Framework for Robust Decisions in Final Offer Arbitration

Published Online:https://doi.org/10.1287/deca.2026.0599

References

  • Abbas AE (2009) A Kullback Leibler view of linear and log linear pools. Decision Anal. 6(1):25–37.LinkGoogle Scholar
  • Aghassi M, Bertsimas D (2006) Robust game theory. Math. Programming 107(1–2):231–273.CrossrefGoogle Scholar
  • Albert I, Donnet S, Guihenneuc Jouyaux C, Low Choy S, Mengersen K, Rousseau J (2012) Combining expert opinions in prior elicitation. Bayesian Anal. 7(3):503–532.CrossrefGoogle Scholar
  • Ashenfelter O, Dahl GB (2012) Bargaining and the role of expert agents: An empirical study of final offer arbitration. Rev. Econom. Statist. 94(1):116–132.CrossrefGoogle Scholar
  • Bergemann D, Morris S (2013) Robust predictions in games with incomplete information. Econometrica 81(4):1251–1308.CrossrefGoogle Scholar
  • Brams SJ, Merrill S III (1983) Equilibrium strategies for final offer arbitration: There is no median convergence. Management Sci. 29(8):927–941.LinkGoogle Scholar
  • Chatterjee K (1981) Comparison of arbitration procedures: Models with complete and incomplete information. IEEE Trans. Systems Man Cybernetics 11(2):101–109.CrossrefGoogle Scholar
  • Clemen RT (2008) Comment on Cooke’s classical method. Reliability Engrg. System Safety 93(5):760–765.CrossrefGoogle Scholar
  • Clemen RT, Winkler RL (1999) Combining probability distributions from experts in risk analysis. Risk Anal. 19(2):187–203.CrossrefGoogle Scholar
  • Cooke RM (1991) Experts in Uncertainty: Opinion and Subjective Probability in Science (Oxford University Press, New York).CrossrefGoogle Scholar
  • Crawford VP (1979) On compulsory arbitration schemes. J. Political Econom. 87(1):131–159.CrossrefGoogle Scholar
  • Deck C, Farmer A (2007) Bargaining over an uncertain value: Arbitration mechanisms compared. J. Law Econom. Organ. 23(3):547–579.CrossrefGoogle Scholar
  • Dias LC, Morton A, Quigley J, eds. (2017) Elicitation: The Science and Art of Structuring Judgement (Springer, Berlin, Heidelberg).Google Scholar
  • Farber HS (1980) An analysis of final offer arbitration. J. Conflict Resolution 24(4):683–705.CrossrefGoogle Scholar
  • Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequences. Statist. Sci. 7(4):457–472.CrossrefGoogle Scholar
  • Genest C, Zidek JV (1986) Combining probability distributions: A critique and an annotated bibliography. Statist. Sci. 1(1):114–135.CrossrefGoogle Scholar
  • Hanany E, Kilgour DM, Gerchak Y (2007) Final offer arbitration and risk aversion in bargaining. Management Sci. 53(11):1785–1792.LinkGoogle Scholar
  • Hanea AM, McBride MF, Burgman MA, Wintle BC (2018) The value of performance weights and discussion in aggregated expert judgments. Risk Anal. 38(9):1781–1794.CrossrefGoogle Scholar
  • Hartley D, French S (2021) A Bayesian method for calibration and aggregation of expert judgement. Internat. J. Approximate Reasoning 130:192–225.CrossrefGoogle Scholar
  • Lin SW, Cheng CH (2009) The reliability of aggregated probability judgments obtained through Cooke’s classical model. J. Model. Management 4(2):149–161.CrossrefGoogle Scholar
  • Lindley DV (1983) Reconciliation of probability distributions. Oper. Res. 31(5):866–880.LinkGoogle Scholar
  • Marburger DR (2004) Arbitrator compromise in final offer arbitration: Evidence from Major League Baseball. Econom. Inquiry 42(1):60–68.CrossrefGoogle Scholar
  • Merrick JRW (2008) Getting the right mix of experts. Decis. Anal. 5(1):43–52.LinkGoogle Scholar
  • Morris PA (1977) Combining expert judgments: A Bayesian approach. Management Sci. 23(7):679–693.LinkGoogle Scholar
  • O’Hagan A (2019) Expert knowledge elicitation: Subjective but scientific. Amer. Statist. 73(1):69–81.CrossrefGoogle Scholar
  • O’Hagan A, Buck CE, Daneshkhah A, Eiser JR, Garthwaite PH, Jenkinson DJ, Oakley JE, Rakow T (2006) Uncertain Judgements: Eliciting Experts’ Probabilities (Wiley).CrossrefGoogle Scholar
  • Stefan AM, Katsimpokis D, Gronau QF, Wagenmakers EJ (2022) Expert agreement in prior elicitation and its effects on Bayesian inference. Psychonomic Bull. Rev. 29(5):1776–1794.CrossrefGoogle Scholar
  • Williams CJ, Wilson KJ, Wilson N (2021) A comparison of prior elicitation aggregation using the classical method and SHELF. J. Roy. Statist. Soc. Ser. A Statist. Soc. 184(3):920–940.CrossrefGoogle Scholar
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