The two envelopes paradox is a good one: http://consc.net/papers/envelope.html http://consc.net/papers/envelope.html And another that I've figured out the "ri

The two envelopes paradox is a good one: http://consc.net/papers/envelope.html http://consc.net/papers/envelope.html And another that I've figured out the "right" answer to but think there might be more to it is this: Suppose I set up a two-player game as follows: 1. One player is the "odd" player, the other is the "even" player. 2. Each player may choose a single number per turn, either one or two. 3. The result of each turn is the sum of the two players' choices. For example, if the even player picks 1 and the odd player picks 2, the result of that turn is 3. 4. If the result is odd, the even player pays the odd player that amount, and vice-versa. In our example result of 3, the even player would pay the odd player 3 dollars. Question: Is this game fair? If not, is it possible to give either player a per-turn stipend to make the game fair? If so, how much is that amount?