# Foundations of spatial preferences

*Jon Eguia*

*Journal of Mathematical Economics*, 2011, vol. 47, issue 2, 200-205

**Abstract:**
Abstract I provide an axiomatic foundation for the assumption of specific utility functions in a multidimensional spatial model, endogenizing the spatial representation of the set of alternatives. Given a set of objects with multiple attributes, I find simple necessary and sufficient conditions on preferences such that there exists a mapping of the set of objects into a Euclidean space where the utility function of the agent is linear city block, quadratic Euclidean, or more generally, it is the [delta] power of one of Minkowski (1886) metric functions. In a society with multiple agents I characterize the set of preferences that are representable by weighted linear city block utility functions, and I discuss how the result extends to other Minkowski utility functions.

**Keywords:** Utility; representation; Spatial; models; Multidimensional; preferences; Spatial; representation (search for similar items in EconPapers)

**Date:** 2011

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**Related works:**

Working Paper: The Foundations of Spatial Preferences (2008)

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**Persistent link:** https://EconPapers.repec.org/RePEc:eee:mateco:v:47:y:2011:i:2:p:200-205

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