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On representation and regularity of continuous parameter multivalued martingales
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In this paper we study multivalued martingales in continuous time. First we show that every multivalued martingale in continuous time can be represented as the closure of a sequence of martingale selections. Then we prove two results concerning the cadlag modifications of continuous time multivalued martingales, in Kuratowski-Mosco convergence and in convergence in the Hausdorff metric respectively.
American Mathematical Society (AMS)
Title: On representation and regularity of continuous parameter multivalued martingales
Description:
In this paper we study multivalued martingales in continuous time.
First we show that every multivalued martingale in continuous time can be represented as the closure of a sequence of martingale selections.
Then we prove two results concerning the cadlag modifications of continuous time multivalued martingales, in Kuratowski-Mosco convergence and in convergence in the Hausdorff metric respectively.
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