Decision Making under Ambiguity

Abstract : Ellsberg's paradox demonstrates that ambiguous or vague probabilities derived from choices between gambles are not coherent. A descriptive model of judgement under ambiguity is developed in which an initial estimate serves as a starting point and adjustments are made for abbiguity. The adjustments involve a mental simulation in which higher and lower probabilities are considered and differentially weighted. Implications of this model include ambiguity avoidance and seeking; sub- and superadditivity of complementary probabilities; dynamic ambiguity; and reversals in the meaning of data. Three experiments involving Ellsberg's paradox and the setting of buying and selling prices for insurance and warranties test the model. A choice rule under ambiguity is developed that implies a lack of independence between ambiguous probabilities and the sign of payoff utility. The applicability of the model to the case where probabilities are explicitly stated is considered, including the handling of context effects. Keywords: Ambiguity, Decision making, Insurance.

[1]  R. Yerkes,et al.  The relation of strength of stimulus to rapidity of habit‐formation , 1908 .

[2]  F. Knight The economic nature of the firm: From Risk, Uncertainty, and Profit , 2009 .

[3]  F. W. Irwin,et al.  Stated expectations as functions of probability and desirability of outcomes. , 1953, Journal of personality.

[4]  D. Ellsberg Decision, probability, and utility: Risk, ambiguity, and the Savage axioms , 1961 .

[5]  Howard Raiffa,et al.  Risk, Ambiguity, and the Savage Axioms: Comment , 1961 .

[6]  J. P. Gould,et al.  The Economics of Legal Conflicts , 1973, The Journal of Legal Studies.

[7]  L. J. Savage,et al.  Personal probabilities of probabilities , 1975 .

[8]  J. Frank Yates,et al.  Characterization of Ambiguity in Decision Making. , 1976 .

[9]  Ralph L. Keeney,et al.  Decisions with multiple objectives: preferences and value tradeoffs , 1976 .

[10]  Paul J. H. Schoemaker,et al.  Risk Taking and Problem Context in the Domain of Losses: An Expected Utility Analysis , 1980 .

[11]  Martin Edman The Probable and the Provable , 1980 .

[12]  R. Thaler Toward a positive theory of consumer choice , 1980 .

[13]  H. Kunreuther,et al.  Sources of Bias in Assessment Procedures for Utility Functions , 1982 .

[14]  P. Schoemaker The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations , 1982 .

[15]  David E. Bell,et al.  Regret in Decision Making under Uncertainty , 1982, Oper. Res..

[16]  J. Quiggin A theory of anticipated utility , 1982 .

[17]  N. Cohen,et al.  The Reticuloendothelial System , 2012, Springer US.

[18]  T S Wallsten,et al.  Stability and coherence of health experts' upper and lower subjective probabilities about dose-response functions. , 1983, Organizational behavior and human performance.

[19]  Louis Narens,et al.  Classification of concatenation measurement structures according to scale type , 1985 .

[20]  Howard Kunreuther,et al.  Ambiguity and Insurance Decisions , 1985 .

[21]  Baruch Fischhoff,et al.  Response Mode, Framing and Information-processing Effects in Risk Assessment , 1988 .