This paper shows how de Finetti's book-making principle, commonly used to justify additive subjective probabilities, can be modi/ed to agree with some nonexpected utility models. More precisely, a new foundation of the rank-dependent models is presented that is based on a comonotonic extension of the book-making principle. The extension excludes book-making only if all gambles considered induce a same rank-ordering of the states of nature through favorableness of their associated outcomes, and allows for nonadditive probabilities. Typical features of rank-dependence, hedging, ambiguity aversion, and pessimism and optimism, can be accommodated.
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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number
76.
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Find related papers by JEL classification: D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General
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