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Susie, Bobby and Betty are fighting over how to split a chocolate bar. Their father intervenes to resolve the dispute by instituting a modified version

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Susie, Bobby and Betty are fighting over how to split a chocolate bar. Their father intervenes to resolve the dispute by instituting a modified version of "one cuts, one chooses". First, Susie will divide the chocolate bar into 3 pieces. Then, Bobby will take one of these pieces. Betty will then take one of the two remaining pieces. Susie will get the piece that remains. Suppose the chocolate bar has 8 squares and can therefore only be divided into multiples of 1/8. Describe the two SPNE of the game. In one SPNE of this game, Bobby and Betty both get pieces. (2 points) In the only other SPNE of the game, Bobby gets _ pieces.... (1 point) ..while Betty gets _ - pieces. (1 point)

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