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

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Susie, Bobby and Betty are ghting over how to split a chocolate bar. Their father intervenes to resolve the dispute by instituting a modied 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 \"US. Describe the two SPNE of the game. In one SPNE of this game, Bobby and Betty both get pieces. E In the only other SPNE ofthe game, Bobby gets _ pieces... D ...while Betty gets __ pieces. E

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