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arXiv 2016-06-23 0 views

Skorohod's representation theorem and optimal strategies for markets with frictions

Chau, Huy N. · Rásonyi, Miklós

Original · EN

We prove the existence of optimal strategies for agents with cumulative prospect theory preferences who trade in a continuous-time illiquid market, transcending known results which pertained only to risk-averse utility maximizers. The arguments exploit an extension of Skorohod's representation theorem for tight sequences of probability measures. This method is applicable in a number of similar optimization problems.

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