An irrational behavior proof condition for multistage multicriteria games

We use the payment schedule based approach to ensure stable cooperation in multistage games with vector payoffs. On the example of the Shapley value in multicriteria game it is shown that the irrational behavior proof condition and the balance condition may be incompatible. We design a recurrent payment schedule that satisfies such advantageous properties as the efficiency condition, non-negativity and irrational behavior proofness.