Assessing Probability with Multiple Individuals: Group Interaction Versus Mathematical Aggregation.

Abstract

The application of decision theory often involves assessing subjective probabilities and procedures for assessing them are quite well developed. But such procedures are based on assessments by a single person. Often multiple individuals are called on to provide the probabilistic judgments. Unanimity in judgments among the multiple individuals cannot be expected, thereby creating the problem of how to arrive at a single probability distribution that can be used in applying decision theory. Two general approaches to this problem exist. The individuals can interact as a group to reach a consensus, or the individual judgments can be mathematically aggregated to produce a single probability distribution. Each of these approaches has advantages and disadvantages. Group interaction allows the exchange of information, but may be susceptible to dominance by certain individuals or pressure for conformity. Mathematical aggregation is simple to use and ensures that a single distribution will result, but theoretical difficulties are encountered in specifying an appropriate aggregation model. Using several forms of group interaction and mathematical aggregation models, this research investigated the quality of probabilities produced by interaction versus mathematical models.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA073363

Entities

People

  • David Arden Seaver

Tags

Communities of Interest

  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Bayesian Networks
  • Cognition
  • Decision Theory
  • Delphi Method
  • Mathematical Models
  • Motor Skills
  • New York
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Psychology
  • Public Administration
  • Social Problems
  • Social Psychology
  • Social Sciences
  • Statistics
  • Systems Engineering

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.
  • Theoretical Analysis.