Dr. William V. Gehrlein

Professor of Operations Management
Department of Business Administration

Website
E-mail: wvgatudel [dot] edu

Education:

  • Ph.D - Pennsylvania State University
  • MS, Pennsylvania State University
  • BS, Gannon College, Erie, Pennsylvania

Research Interests:

  • Decision Theory
  • Social Choice Theory
  • Graph Theory

Teaching Interests:

  • Operations Management
  • Operations Research

Honors and Activities:

  • Member of the Journal Editorial Board of Social Choice and Welfare, an international journal in the area of social choice, voting models and welfare economics.
  • Served as a member of the Board of Associate Editors for Institute of Industrial Engineers (IIE) Transactions.
  • Served as the guest editor for a special issue of the Annals of Operations Research, Volume 23, 1990, on "Intransitive Preferences".
  • Served as the guest coeditor (with Bret J. Wagner) for a special issue of the Annals of Operations Research, Volume 74, 1997, on "Nontraditional Approaches to Statistical Classification and Regression".
  • Served on the Board of Directors of Northeast Decision Sciences Institute.
  • Elected to full membership in the Operations Research Society of America.
  • Selected as a member of the Executive Council of the International Society for Social Choice and Welfare.

Recent Publications:

  • Operations Management Cases, Published by McGraw-Hill/Irwin, 2004, 160 pages.

  • Condorcet's Paradox, Published by Springer Publishing, 2006, 290 pages.

  • "A Two-Stage Least Cost Credit Scoring Model," (With Bret Wagner), Annals of Operations Research, Volume 74, 1997, 159-171.
  • "Decision Rules for the Academy Awards Versus those for Elections," (with Hemant Kher), Interfaces, Volume 34, 2004, 226-234.
  • "Inducing Relations on Incomplete Ordinal Data," (with Peter C. Fishburn), Quality And Quantity, Volume 24, 1990, 17-36.
  • "The Expected Likelihood of Transitivity With a Probabilistic Chooser," Annals Of Operations Research, Volume 23, 1990, 235-246.
  • "The Expected Likelihood of Transitivity of Preference," Psychometrika, Volume 55, Number 4, 1990, 695-706.
  • "The Expected Likelihood of Transitivity for Probabilistic Choosers with Single Peaked Preferences," Mathematical Social Sciences, Volume 25, 1993, 143-155.
  • "The Expected Likelihood of Transitivity: A Survey," Theory And Decision, Volume 37, 1994, 175-209.
  • "Coincidence of Agreement Between Probabilistic and Algebraic Choosers," Quality and Quantity, Volume 9, 2005, 317-336.
  • "The Three-Permutations Problem," (with Peter C. Fishburn), Discrete Mathematics, Volume 79, 1990, 259-264.
  • "Linear Extension Majority Cycles on Partial Orders," (with Peter C. Fishburn), Annals Of Operations Research, Volume 23, 1990, 311-322.
  • "Linear Extension Majority Cycles of Small (n<9) Partial Orders," (with Peter C. Fishburn), Computers And Mathematics With Applications, Volume 20, 1990, 41-44.
  • "Linear Extensions on Height-1 Posets," (with Peter C. Fishburn and Kevin Ewacha), Order, Volume 6, 1990, 313-318.
  • "Frequency Estimates for Linear Extension Majority Cycles on Partial Orders," RAIRO-Operations Research, Volume 25, 1991, 359-364.
  • "Niche Graphs," (with Peter C. Fishburn), Journal Of Graph Theory, Volume 16, 1992, 131-139.
  • "Balance Theorems for Height-1 Posets," (with W.T. Trotter and Peter C. Fishburn), Order, Volume 9, 1992, 43-52.
  • "The Smallest Directed Graph with Niche Number Three," (with Peter C. Fishburn), Computers And Mathematics With Applications, Volume 27, 1994, 53-57.
  • "Niche Number Four," (with Peter C. Fishburn). Computers And Mathematics With Applications, Volume 32, 1996, 51-54.
  • "The Probability that all Weighted Scoring Rules Have the Same Winner," (with Dominique Lepelley), Economics Letters, Volume 66, 2000, 191-197.
  • "Strong Condorcet Efficiency of Scoring Rules," (with Dominique Lepelley), Economics Letters, Volume 68, 2000, 157-164.
  • "Condorcet Efficiency: A Preference for Indifference," (with Fabrice Valognes), Social Choice and Welfare, Volume 18, 2001, 193-205.
  • "The Condorcet Efficiency of Borda Rule with Anonymous Voters," (with Dominique Lepelley), Mathematical Social Sciences, Volume 41, 2001, 39-50.
  • "Obtaining Representations for Probabilities of Voting Outcomes with Effectively Unlimited Precision Integer Arithmetic," Social Choice and Welfare, Volume 19, 2002, 503-512.
  • "Condorcet Winners on Four Candidates with Anonymous Voters," Economics Letters, Volume 71, 2001, 335-340.
  • "Condorcet's Paradox and the Likelihood of its Occurrence: Different Perspectives on Balanced Preferences," Theory and Decision, Volume 52, 2002, 171-199.
  • "On Some Limitations of the Median Voting Rule," (with Dominique Lepelley), Public Choice, Volume 117, 2003, 177-190..
  • "Consistency of Measures of Social Homogeneity: A Connection with Proximity to Single Peaked Preferences," Quality and Quantity, Volume 38, 2004, 147-171.
  • "The Effectiveness of Weighted Scoring Rules when Pairwise Majority Rule Cycles Exist," Mathematical Social Sciences, Volume 47, 2004, 69-85.
  • 'The Sensitivity of Weight Selection for Scoring Rules to Proximity to Single Peaked Preferences," Social Choice and Welfare, Volume 26, 2006, 191-208.
  • "What Scoring Rule Maximizes Condorcet Efficiency Under IAC?" (with Davide Cervone and William Zwicker), Theory and Decision, Volume 58, 2005, 145-185.
  • "Probabilities of Election Outcomes with Two Parameters: The Relative Impact of Unifying and Polarizing Candidates," Review of Economic Design, Volume 9, 2005, 317-336.
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