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We describe computer simulations of a number of associative models of classical conditioning in an attempt to assess the strengths and weaknesses of each The behavior of the Sutton-Barto model, the TD model, the Klopf model, the Balkenius model and the Schmajuk-DiCarlo model are investigated. All models are shown to have problems explaining some of the available experimental data. The IST curves for trace and delay conditioning for all the models are presented together with simulations of acquisition and extinction, reacquisition, blocking, conditioned inhibition, secondary conditioning and facilitation by an extra stimulus. We also present cases where some of the models show an unexpected behavior.