This paper considers additive conjoint measurement on subsets of Cartesian products containing “rank-ordered‘ n-tuples. Contrary to what has often been thought, additive conjoint measurement on subsets of Cartesian products has characteristics different from additive conjoint measurement on full Cartesian products.

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doi.org/10.1016/0022-2496(91)90045-U, hdl.handle.net/1765/23215
Journal of Mathematical Psychology
Erasmus School of Economics

Wakker, P. (1991). Additive representations on rank-ordered sets. I. The algebraic approach. Journal of Mathematical Psychology, 35(4), 501–531. doi:10.1016/0022-2496(91)90045-U