Player one is able to see simply by checking out that matrix which their payoffs inside every mobile of this number one line have always been more than their payoffs as part of every matching cellular regarding the base line.
That is why, it may by no means be utility-maximizing to him to relax and play their bottom-row system, viz., refusing in order to confess, it doesn’t matter what Player II can. As Player I’s bottom-row approach can be played, never we are able to only delete the underside line through the matrix. Now it really is clear it Player II will likely not will not confess, as this girl reward at confessing within the couple cells your stay looks more than the girl reward at refusing. So that, once more, we could delete your one-cell line from the from the comfort to the video game. We’ve only 1 mobile remaining, which related in order to the results triggered 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.