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The traditional model of sequential decision making, for instance, in extensive form games, is a tree. Most texts define a tree as a connected directed graph without loops and a distinguished node, called the root. But an abstract graph is not a domain for decision theory. Decision theory...
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We correct a misspecified property in "Trees and Extensive Forms'', Journal of Economic Theory 143 (2008), 216-250. As a consequence a few proofs need to be adjusted, and a few statements need to be adapted. Two minor results, which are not needed for the proofs of the main results, do not hold...
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Influential economic approaches as random utility models assume a monotonic relation between choice frequencies and "strength of preference," in line with widespread evidence from the cognitive sciences, which also document an inverse relation to response times. However, for economic decisions...
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