In the present paper properties of theoretical response functions in the duration reproduction task (DRT) are studied. If the DRT response is to be interpreted as the measure of a temporal duration elapsed in the past, the reproduction function (RF) must be additively measuring. The additivity property is defined for bivariate RFs, taking into account the delay between retention and reproduction. The requirement that an RF be additively measuring leads to a system of two functional equations, which are solved…
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