Entscheidungsmodelle über angeordneten Körpern

The decision models considered in the paper, form a class of optimization problems which contains e.g. discounted Markovian decision models with finite decision space and state space, as well as Leontief-substitution problems. By the formulation of the decision models over arbitrary ordered fields it is possible e.g. to characterize the sensitivity analysis in such decision models also as an decision model over certain over-fields ([7]). We prove in the present paper the fundamental existence theorems and we show the connection between decision models and linear programming over ordered fields.