A Beautiful Grid?

摘要

John Nash - the well-known mathematician made famous by the movie A Beautiful Mind - is the father of modern game theory. Game theory explains the dynamics of multiple players making decisions governed by rules. In many games, all are better off when cooperating rather than all acting in their own self-interest. Unfortunately, individual players will try to improve their situation by acting selfishly. Selfish behavior leads to a locally optimal Nash Equilibrium: players cannot improve their situations by acting alone, but could improve everyone's situation and "jump out" of the local minimum by cooperating.