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This paper aims at providing new insights into dynaraic spatial interaction and I-O analysis by linking a multiple objective programming approach to stochastic dynaraic spatial allocation models. In this context, a multiple objective optimal control model is designed, which appears to lead to a generalized solution for conventional spatial interaction problems. Next, by using a Wiener (or Brownian) motion process model for the dynamic evolution of flows of origin, a new type of dynamic spatial interaction model is generated, for which the solution (based on Hamilton-Jacobs-Bellman equations and Lagrangean equations) appears to incorporate a generalized stochastic gravity model.