Problem 4 Alice, Bob, and Colin have to divide a dollar. Alice plays first, and then Bob and Colin play simultaneously a

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Problem 4 Alice Bob And Colin Have To Divide A Dollar Alice Plays First And Then Bob And Colin Play Simultaneously A 1 (81.28 KiB) Viewed 25 times

Problem 4 Alice, Bob, and Colin have to divide a dollar. Alice plays first, and then Bob and Colin play simultaneously after observing Alice's play. Alice's strategy consist of proposing an amount x = [0,100] to Bob, and an amount y € [0,100] to Colin (x and y are real numbers), such that x+y < 100. If both Bob and Colin accepts then Alice gets 100 – X – y, Bob gets x and Colin gets (). If at least one rejects the offer then all the three players get (. Find all the subgame perfect equilibria of this game.