On the Arrow-Hahn utility representation method

DOI10.1016/j.mathsocsci.2009.11.004zbMath1197.54031OpenAlexW2039117295MaRDI QIDQ975934

Michele Gori, Giulio Pianigiani

Publication date: 11 June 2010

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2009.11.004

zbMATH Keywords

convex metric spacepreference relationBeardon's generalization of Arrow-Hahn utilitygeneralized Peano continuumsemi-continuous utility function

Mathematics Subject Classification ID

Connected and locally connected spaces (general aspects) (54D05)

Cites Work

• Utility functions on locally connected spaces
• Some results on the existence of utility functions on path connected spaces
• Utility representation of continuous preferences
• Representations of preference orderings
• Constructive utility functions on Banach spaces
• Continuity Properties of Paretian Utility
• On convex metric spaces IV
• A convex metric for a locally connected continuum
• Grille decomposition and convexification theorems for compact metric locally connected continua
• Metric spaces, convexity and nonpositive curvature
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