Let's diverge to game theory for a bit. Games that consist of three or more players tend to be very challenging to solve, but two-player games are much simpler and are what we will focus on here.
Let's suppose we have two players that are represented by , respectively, and they are playing rock paper scissors. As we know, in this game we tend to make decisions without any information about what the other player will choose. Each player naturally wants to win, so each player has the following payoff matrices:
Personally, I am not ...