If anyone wants to know what number they should put down to have the highest expected value in game 1, the answer is you should put your vote as close as possible to the total number of other votes. Meaning if everyone else does 1 each, you should put down 4, to have a 50% chance of winning. If everyone else put down 2, you should put 8 etc etc. If this is intuitive or not I'm not sure.