Assume we have $n$ players (each knows the number of competitors). Each has to chose a natural number and the player that has selected the smallest number, that appears uniquely, is going to win (if such a player exists). Hence, for example, if one player selects number 3 and number 1 and 2 has been selected two or more times and no one else has selected number 3, that player is going to win.

I am wondering whether with game theory one can figure out an optimal strategy (like selecting a probability distribution for each natural number to select it).


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.