Measure Extensions According to a Given Function
The question how to make a real function measurable by an adequate extension1) of a given measure is motivated by problems of applied mathematics. The question arises especially in connection with the definition of any feasible “randomized extensions” of a game with non-denumerable many pure strategies.
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- AUMANN, R.J.: Measurable utility and the measurable choice theorem. Proc.Coll.Intern. C.N.R.S. “La Décision”, Aixen-Provence, 15–26 (1967).Google Scholar
- HILDENBRAND, W.: Core and equilibria of a large economy. Princ. Univ. Press, Princeton,.Google Scholar
- MARCZEWSKI, E.: Ensembles indépendants et … Fund.Math. 35, 13–28 (1968).Google Scholar
- MERLO, J.C. and PANZONE, R.: Notes on the measure extension problem. Rev. Un. Mat. Argentina 23, 77–88 (1966/67).Google Scholar