The game-theory solution for game 5: If it comes down to the third round, Mike can just give $1 to three players and keep $5,997, because those three players will vote "yes", because they get nothing otherwise. So in round 2 and by extension round 1, Mike can also give $1 to three players, knowing that they will vote "yes" because they cannot get more than this.,(reply>), Why would anybody let Mike get away with $5,997 just for a mere dollar? As Rohin said: "I'd vote no just in spite". Mike could not <b>realistically</b> risk losing that much money by offering a deal in which the other party has nothing to gain ($1 is nothing) and nothing to lose.