An Additive Utility for Finite Temporal Sequences

Abstract

This paper introduces a componentwise joint receipt operation on an n-component product set and constructs an additive representation for its binary relation. In the context of conjoint measurement, we present an axiom system that is adequate to the introduction of the componentwise operation. One new axiom is additive solvability, which weakens the independence axiom of n-component (n>2), additive conjoint structures. The other is multiple-indifference whose role is to give each component utility ui on Gi a similar calibration. These two and the weak ordering and weakened independence axioms lead to the additive representation.