Abstract
Axiomatizations of ordered preference differences typically assume that preferences are ordered. However, the mere assumption that preference differences can be ordered says nothing about whether preferences themselves are ordered. Utility representations for ordered differences without ordered preferences are investigated.
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References
Adams, E. W.: 1965, ‘Elements of a Theory of Inexact Measurement’, Philosophy of Science 32, 205–28.
Alt, F.: 1936, ‘Über die Messbarkeit des Nutzens’, Zeitschrift für Nationalökonomie 7, 161–9.
Chipman, J. S.: 1960, ‘The Foundations of Utility’, Econometrica 28, 193–224.
Debreu, G.: 1964, ‘Continuity Properties of Paretian Utility’, International Economic Review 5, 285–93.
Dyer, J. S. and R. K. Sarin: 1979, ‘Measurable Multiattribute Value Functions’, Operations Research 27, 810–22.
Eilenberg, S.: 1941, ‘Ordered Topological Spaces’, American Journal of Mathematics 63, 39–45.
Fishburn, P. C.: 1970a, Utility Theory for Decision Making, Wiley, New York.
Fishburn, P. C.: 1970b, ‘Utility Theory with Inexact Preferences and Degrees of Preferences’, Synthese 21, 204–21.
Fishburn, P. C.: 1982, ‘Nontransitive Measurable Utility’, Journal of Mathematical Psychology 26, 31–67.
Fishburn, P. C.: 1983, ‘Transitive Measurable Utility’, Journal of Economic Theory 31, 293–317.
Frisch, R.: 1926, ‘Sur un problème d'économie pure’, Norsk Mathematisk Forenings Skrifter 16, 1–40.
Krantz, D. H., R. D. Luce, P. Suppes, and A. Tversky: 1971, Foundations of Measurement. Volume I, Academic Press, New York.
Lange, O.: 1934, ‘The Determinateness of the Utility Function’, Review of Economic Studies 1, 218–24.
Scott, D.: 1964, ‘Measurement Structures and Linear Inequalities’, Journal of Mathematical Psychology 1, 233–47.
Scott, D. and P. Suppes: 1958, ‘Foundational Aspects of Theories of Measurement’, Journal of Symbolic Logic 23, 113–28.
Suppes, P. and M. Winet: 1955, ‘An Axiomatization of Utility Based on the Notion of Utility Differences’, Management Science 1, 259–70.
Suppes, P. and J. L. Zinnes: 1963, ‘Basic Measurement Theory’, in R. D. Luce, R. R. Bush, and E. Galanter (eds.), Handbook of Mathematical Psychology, Vol. 1, Wiley, New York.
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Fishburn, P.C. Ordered preference differences without ordered preferences. Synthese 67, 361–368 (1986). https://doi.org/10.1007/BF00540076
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DOI: https://doi.org/10.1007/BF00540076