Representations of Interval Orders on Connected Separable Topological Spaces

Yann Rébillé

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Abstract: We establish a partial continuous interval representation for interval orders preferences on connected separable topological spaces. Then we provide a generalization of interval representations of interval orders when a continuous strict weak order is given. This allows one to obtain for incomplete preferences one-side or two-sides interval representations and also one-side or two-sides weak interval representations that are partial continuous.

Date: 2020-01-24
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Published in Mathematical Topics on Representations of Ordered Structures and Utility Theory, 263, Springer International Publishing, pp.85-108, 2020, Studies in Systems, Decision and Control, ⟨10.1007/978-3-030-34226-5_4⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04486133

DOI: 10.1007/978-3-030-34226-5_4

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