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Ictor Ask Do not ask Hermione Yes No Ron Ron Do not Do not Do not Ask Ask Ask ask ask ask 5 Victor 8

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Ictor Ask Do not ask Hermione Yes No Ron Ron Do not Do not Do not Ask Ask Ask ask ask ask 5 Victor 8 2 Hermione Hermione 4 Ron 3 6 5 Hermione 6 5 3 Yes No Yes No 6 NW 8 8 A 7 NIt is the week before the Yule Ball Dance, and Victor and Ron are each contemplating whether to ask Hermione to the dance. The game tree above represents this interaction. Answer the following questions accordingly. i. There are subgames, including the whole game itself. (Note: As we did in class, count the single (terminal) decision nodes as subgames as well.) ii. Victor has information set(s), Hermione has information set(s), Ron has information set(s). (Recall: An information set can contain one or more decision nodes.) iii. Before he decides whether to ask Hermione, Ron whether Victor asked Hermione. If Victor did invite Hermione, Ron Hermione's answer to Victor before he decides whether to ask Hermione himself

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