Consider a variation on the ultimatum game, in which the proposer can choose any number in the interval [0,1] in which, if player 2 rejects an offer, player 2's payoff is zero, but player 1's payoff is s, where 0< s <1. (You can think of this version as modeling a scenario in which player 1, with probability , will get to play the game with another player who is sure to accept any offer, and with probability 1does not get to play again and thus gets nothing.)Find the game's subgame perfect equilibria.