Non-Archimedean extensive measurement with incomparability
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.
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- Rabin, Matthew, 1997.
"Psychology and Economics,"
Department of Economics, Working Paper Series
qt8jd5z5j2, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
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