Sir Roy George Douglas Allen
Allen in 1978
Born(1906-06-03)3 June 1906
Died29 September 1983(1983-09-29) (aged 77)[1]
Alma materUniversity of Cambridge
Known forPartial elasticity of substitution
AwardsGuy Medal (gold, 1978)
Scientific career
InstitutionsLondon School of Economics

Sir Roy George Douglas Allen, CBE, FBA (3 June 1906 – 29 September 1983) was an English economist, mathematician and statistician, also member of the International Statistical Institute.


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Allen was born in Worcester and educated at the Royal Grammar School Worcester, from which he won a scholarship to Sidney Sussex College, Cambridge. He gained a First Class Honours in Mathematics, ranking top of his year as the Senior Wrangler.

He became a lecturer at the London School of Economics (LSE) later becoming Professor of Statistics. He wrote many papers and books on mathematical economics including the famous paper on A Reconsideration of the Theory of Value published in Economics in 1934 with Sir John Hicks. Other books include: Mathematical Analysis for Economists (1938), Statistics for Economists (1949), Mathematical Economics (1956), and Macroeconomic Theory (1967).

Allen was knighted in 1966 for his services to economics and became president of the Royal Statistical Society, who awarded him the Guy Medal in Gold in 1978. He was also treasurer of the British Academy of which he was a fellow (FBA).

He introduced the concept of "partial elasticity of substitution" to economics in his famous 1938 book Mathematical Analysis for Economists.

Allen became a fellow of Sidney Sussex, Cambridge and died in 1983. He had a son, Jeremy, who was a co-founder of the consultancy International Planning and Research, and a grandson, Dion.

Publications (selection)


  1. ^ Eatwell, John; Milgate, Murray; Newman, Peter (1987). The New Palgrave: a dictionary of economics - Sir Robert Harry Inglis Palgrave - Google Books. ISBN 9780333372357. Retrieved 27 June 2012 – via Google Books.