منابع مشابه
Lexicographic choice functions
We investigate a generalisation of the coherent choice functions considered by Seidenfeld et al. (2010), by sticking to the convexity axiom but imposing no Archimedeanity condition. We define our choice functions on vector spaces of options, which allows us to incorporate as special cases both Seidenfeld et al.'s (2010) choice functions on horse lotteries and sets of desirable gambles (Quaegheb...
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We investigate the connection between choice functions and lexicographic probabilities, by means of the convexity axiom considered by [7] but without imposing any Archimedean condition. We show that lexicographic probabilities are related to a particular type of sets of desirable gambles, and investigate the properties of the coherent choice function this induces via maximality. Finally, we sho...
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In Tversky’s (1969) model of a lexicographic semiorder, a preference is generated via the sequential application of numerical criteria by declaring an alternative x better than an alternative y if the first criterion that distinguishes between x and y ranks x higher than y by an amount exceeding a fixed threshold. We generalize this idea to a fully fledged model of boundedly rational choice. We...
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This paper discusses a brand positioning model in which two brands of a product are to be positioned in a pricequality space under a new behavioral assumption. This assumption asserts that customers determine the highestquality product within their reservation price and purchase it, provided its quality does not fall short of a minimum standard. The model also includes producers' costs that are...
متن کاملLexicographic differentiation of nonsmooth functions
We present a survey on the results related to the theory of lexicographic differentiation. This theory ensures an efficient computation of generalized (lexicographic) derivative of a nonsmooth function belonging to a special class of lexicographically smooth functions. This class is a linear space which contains all differentiable functions, all convex functions, and which is closed with respec...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2018
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2017.10.011