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Let the following divide dollar game.
2 player P1 and P2 makes a decision how to split the dollar between themselves. Players move sequentially. First, P1 moves. P1 can make any offer to P2 in increments of 25 cents; that is P1 can offer $0:00, $0:25, $0:50, $0:75, or $1:00. Observing P1.s offer, P2 makes a decision whether to accept offer or to reject it. If P2 accepts offer, P2 keeps offered amount and P1 keeps rest. If P2 rejects offer, both players get 0.
(a) Signify this game in extensive form
(b) Assume P1 and P2 move simultaneously. Represent this game in normal form.
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