Player one is able to see through checking out that the matrix in which their payoffs at every cellular associated with row that is top more than their payoffs at every corresponding mobile regarding the base row.
Consequently, it could not be utility-maximizing towards him to relax and play his strategy that is bottom-row,, refusing in order to confess, it doesn’t matter what Player II do. Because Player I’s bottom-row system will likely do not try to be performed, we could only delete the base line through the matrix. This time it really is apparent it Player II wont won’t confess, because the lady reward after confessing when you look at the a couple cells which stay was more than the lady reward off refusing. So that, once more, we are able to delete their one-cell line on from the benefits to the video game. We’ve got only one mobile leftover, your matching in order to the end result caused by shared confession. The outcome on which its play must converge to the extent that economic rationality correctly models the behavior of the players since the reasoning that led us to delete all other possible outcomes depended at each step only on the premise that both players are economically rational — that is, will choose strategies that lead to higher payoffs over strategies that lead to lower ones—there are strong grounds for viewing joint confession as the solution to the game. Continue reading