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

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  • Guido Fioretti

Abstract

Evidence Theory is a branch of mathematics that concerns the 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 has a lot in common 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 not only compared with Shackle's ideas but also with additive and sub-additive probability theories. Furthermore, the presentation of evidence theory does not refer to the original version only, but takes account of its most recent developments, too.

Suggested Citation

  • Guido Fioretti, 2001. "A mathematical theory of evidence for G.L.S. Shackle," ICER Working Papers 03-2001, ICER - International Centre for Economic Research.
    • Handle: RePEc:icr:wpicer:03-2001
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    Cited by:

    1. Fioretti, Guido, 2009. "Either, Or. Exploration of an Emerging Decision Theory," MPRA Paper 12897, University Library of Munich, Germany.
    2. Guido Fioretti, 2004. "Evidence Theory: A Mathematical Framework For Unpredictable Hypotheses," Metroeconomica, Wiley Blackwell, vol. 55(4), pages 345-366, November.
    3. Guido Fioretti, 2009. "Evidence Theory As A Procedure For Handling Novel Events," Metroeconomica, Wiley Blackwell, vol. 60(2), pages 283-301, May.

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