The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Black, Duncan (1908–1991)

  • Bernard Grofman
Reference work entry


Born on 23 May 1908 in Motherwell, Scotland, Black studied at the University of Glasgow, where he received an MA (Mathematics and Physics) in 1929, an MA (Economics and Politics) in 1932, and a Ph.D. (Economics) in 1937. He also served there as Senior Lecturer in Social Economics, 1946–52. The bulk of his teaching career was at the University College of North Wales, Bangor: Lecturer in Economics, 1934–45; Professor of Economics, 1952–68; and Professor Emeritus 1968 onwards.


Black, D. Borda, J.-C. de Carroll, Lewis Condorcet, Marquis de Game theory Majority rule Median voter Public choice Single-peaked preferences Spatial voting game Voting paradoxes 

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  1. Campbell, C.D., and G. Tullock. 1965. A measure of the importance of cyclical majorities. Economic Journal 75: 853–857.CrossRefGoogle Scholar
  2. Condorcet, N.C. de. 1785. Essai sur l’application de l’analyse à la probabilité des decisions rendues à la pluralité des voix. Paris.Google Scholar
  3. Grofman, B. 1981. The theory of committees and elections: the legacy of Duncan Black. In Towards a science of politics: Essays in honor of Duncan Black, ed. G. Tullock. Blacksburg: Public Choice Center, Virginia Polytechnic Institute and State University.Google Scholar
  4. McLean, I., A. McMillan, and B.L. Munroe (eds.). 1996. A mathematical approach to proportional representation: Duncan Black on Lewis Carroll. Dordrecht: Kluwer.Google Scholar

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© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • Bernard Grofman
    • 1
  1. 1.