1950, Albert Tucker, an American mathematician, made up a story called "Prisoner's Dilemma" in order to explain game theory to a group of psychologists.

Two prisoners, A and B, were interrogated separately. If two people betray each other and confess their crimes, they will both be sentenced to 8 years in prison; However, if one person confesses and one person does not confess, the person who confesses will be released directly, and the person who does not confess will be sentenced to 15. What if two people cooperate and don't confess? Because of insufficient evidence, only 1 year was sentenced.

Not confessing is not a stable Nash equilibrium, but confessing is.

What is the prisoner's dilemma? Games that need to meet two conditions:

So the solution to the prisoner's dilemma is:

First, let the "cooperation award >; Betrayal temptation "

Improve the reward of cooperation, reduce the temptation of betrayal, and turn "no confession" into a new Nash equilibrium;

Second, let "Punishment of Betrayal"; I got the money. "

Improve the punishment for betrayal, reduce cheating, and break the original Nash equilibrium of "full confession".