A mathematical theory of evidence for G.L.S. Shackle

Mind and Society 2 (1):77-98 (2001)
Abstract
Evidence Theory is a branch of mathematics that concerns combination of empirical evidence in an individual’s mind in order to construct a coherent picture of reality. Designed to deal with unexpected empirical evidence suggesting new possibilities, evidence theory is compatible with Shackle’s idea of decision-making as a creative act. This essay investigates this connection in detail, pointing to the usefulness of evidence theory to formalise and extend Shackle’s decision theory. In order to ease a proper framing of the issues involved, evidence theory is compared with sub-additive probability theory and Ewens’s infinite alleles model. Furthermore, the original version of evidence theory is presented along with its most recent developments
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DOI 10.1007/BF02512076
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The Foundations of Statistics.Leonard J. Savage - 1954 - Wiley Publications in Statistics.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.

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