Show that a dominant trading strategy exists if and only if there exists a trading strategy satisfying

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Show that a dominant trading strategy exists if and only if there exists a trading strategy satisfying V0 1(ω) ≥ 0 for all ω ∈ Ω. 

Consider the dominant trading strategy H = (ho h ... hm) satisfying Vo = 0 and V (w) > 0 for all w 2. Take

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