Decision with multiple alternatives: Geometric models in higher dimensions — the cube model

Publication date: December 2019Source: Journal of Mathematical Psychology, Volume 93Author(s): Keivan Mallahi-Karai, Adele DiederichAbstractWe propose a family of new multi-episode models of decision making with more than two alternatives. These models can be viewed as multi-dimensional extensions of the standard diffusion model (i.e. Wiener process) with two alternatives introduced in Laming (1968), Link and Heath (1975), Ratcliff (1978) while at the same time, they incorporate Tversky’s notion Tversky (1972)of elimination by aspects, as well as the possibility of correlated noise. The models can be extended to an attention-switching framework in a standard way. Moreover, we will work towards obtaining semi-analytic solutions for choice probabilities and the reaction time and contrast this model with other existing models.

Source: Journal of Mathematical Psychology - November 5, 2019 Category: Psychiatry & Psychology Source Type: research