Dora divides the picnic lunch she brought into four fair shares S1, S2, S3, S4 for...

 

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Dora divides the picnic lunch she brought into four fair shares S1, S2, S3, S4 for herself, Boots, Tico, and even for Swiper - I always had a soft spot for Swiper (write D, B, T, S for their names). They use the Lone Divider method, so the next step is for each of B, T, S to submit bids about which of the shares they find acceptable. a) Suppose their bids look like this. Name B T S Bid {$1, $3} {$2, $3} {S2, S3} Can you make a fair distribution of all four shares using these bids? Are there any other ways to distribute the shares so all players are satisfied? b) Suppose that their bids look like this. Name B T Bid {$1, $2} {$1, $4} S {$1, 84} Find two different ways of achieving a fair division. c) Suppose their bids look like this. Name B T S Bid {84} {$1, 84} {51, 54} Can you make a fair distribution of all four shares using these bids? Dora divides the picnic lunch she brought into four fair shares S1, S2, S3, S4 for herself, Boots, Tico, and even for Swiper - I always had a soft spot for Swiper (write D, B, T, S for their names). They use the Lone Divider method, so the next step is for each of B, T, S to submit bids about which of the shares they find acceptable. a) Suppose their bids look like this. Name B T S Bid {$1, $3} {$2, $3} {S2, S3} Can you make a fair distribution of all four shares using these bids? Are there any other ways to distribute the shares so all players are satisfied? b) Suppose that their bids look like this. Name B T Bid {$1, $2} {$1, $4} S {$1, 84} Find two different ways of achieving a fair division. c) Suppose their bids look like this. Name B T S Bid {84} {$1, 84} {51, 54} Can you make a fair distribution of all four shares using these bids?