
Others' Picks | Pick Red | Pick Blue Red + Red | 3 Live | 2 Live Red + Blue | 2 Live | 3 Live Blue + Red | 2 Live | 3 Live Blue + Blue | 3 Live | 3 Live -------------------------------------- Expected Value | 2.5 Live | 2.75 Live I see a lot of people saying "Game theoretically red comes out on top", and this is plainly false. If you are selfish, picking red is obviously optimal, as it provides 100% of your value (your own life) every time. You don't need game theory to figure that out. If you are fair (value every life equally, including your own) or altruistic (value every OTHER life) blue is optimal. I would assume anyone trying to make the game theoretical argument would consider themselves in the fair bucket. The actual right option is based on what the distribution of other people who pick red or blue. Given that the test is uncoordinated, we are assuming the distribution is roughly 50% (which is both the game-theoretically objective thing to do, and borne out in the data). The 3-person case above scales up to any number of people (with an increasingly smaller margin). You can run the math if you want.












