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Non-Archimedean extensive measurement with incomparability

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  • Carlson, Erik

Abstract

Standard theories of extensive measurement require that all objects to be measured are comparable, and that no object is infinitely or infinitesimally greater than another. The present paper develops a theory that leaves room for infinite and infinitesimal differences, as well as incomparable objects. Our result is analogous to the standard representation and uniqueness theorem of extensive measurement, and only simple and familiar mathematical concepts are assumed.

Suggested Citation

  • Carlson, Erik, 2011. "Non-Archimedean extensive measurement with incomparability," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 71-76, July.
    • Handle: RePEc:eee:matsoc:v:62:y:2011:i:1:p:71-76
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    1. Baron, Jonathan & Spranca, Mark, 1997. "Protected Values," Organizational Behavior and Human Decision Processes, Elsevier, vol. 70(1), pages 1-16, April.
    2. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
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