Abstract
This paper investigates the representation of best–worst choice probabilities (picking the best and the worst alternative from an offered set). It is shown that non-negativity of best–worst Block–Marschak polynomials is necessary and sufficient for the existence of a random utility representation. The representation theorem is obtained by extending proof techniques for a corresponding result on best choices (picking the best alternative from an offered set) developed by Falmagne (1978).
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