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Blyth’s paradox «of three pies»: setwise vs. pairwise event preferences

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  • Vorobyev, Oleg Yu.

Abstract

The pairwise independence of events does not entail their setwise independence (Bernstein’s example, 1910-1917). The probability distributions of all pairs of events do not determine the probability distribution of the whole set of events (the triangular room paradox of negative probabilities of events [8, 9, 2001]). The pairwise preferences of events do not determine their setwise preferences (Blyth’s paradox, 1972). The eventological theory of setwise event preferences, proposed in [8, 2007], gives an event justification and extension of the classical theory of preferences and explains Blyth’s paradox «of three pies»1 (that was already well-known to Yule2) by human ability to use triplewise and morewise preferences.

Suggested Citation

  • Vorobyev, Oleg Yu., 2016. "Blyth’s paradox «of three pies»: setwise vs. pairwise event preferences," MPRA Paper 81897, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:81897
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    1. Vorobyev, Oleg Yu., 2016. "Triangle room paradox of negative probabilities of events," MPRA Paper 81894, University Library of Munich, Germany.
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      Keywords

      Eventology; event; probability; preference; pairwise event preferences; setwise event preferences; theory of setwise event preferences.;
      All these keywords.

      JEL classification:

      • A1 - General Economics and Teaching - - General Economics
      • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
      • C0 - Mathematical and Quantitative Methods - - General
      • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
      • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
      • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
      • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
      • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
      • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
      • Z1 - Other Special Topics - - Cultural Economics
      • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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