1,721,144 research outputs found
A note on the existence of continuous representations of homotheticpreferences on a topological vector space
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Semicontinuous representability of homothetic interval orders by means of two homogeneous functionals
No full textSemicontinuous utility representation of a nontransitive homothetic preference-indifference relation
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A note on continuity and continuous representability of interval orders
No full textWe introduce the notion of weak continuity relative to an interval on a topological space (X, τ). Then we show that a weakly continuous interval order on a second countable topological space (X, τ) is represented by a pair (u, v) of continuous real-valued functions. In this way we generalize the famous continuous utility representation theorem of Debreu according to which a total preorder on a second
countable topological space (X, τ) admits a continuous utility representation
Continuous von Neumann-Morgenstern utility representation ofpseudotransitive preferences
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