Lexicographic decomposition of chains and the concept of a planar chain
نویسندگان
چکیده
In an earlier paper [Journal of Mathematical Economics, 37 (2002) 17–38], we proved that if a preference relation on a commodity space is non-representable by a real-valued function then that chain is necessarily a long chain, a planar chain, an Aronszajn-like chain or a Souslin chain. In this paper, we study the class of planar chains, the simplest example of which is the Debreu chain (R2, <l). © 2002 Elsevier Science B.V. All rights reserved. JEL classification: C60
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