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¡Ú¥¿¥¤¥È¥ë¡Û¡§Monotonic extension and its applications in the choice theory
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The existence of an extension of a continuous and (strictly)monotonic function defined on a closed subset of a Euclidean space thatpreserves these properties to the entire space is proved. These results are applied to study the choice behavior in the context of two-stage choice situation where in the first stage a menu, and in the second stage an alternative from the chosen menu is chosen.
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