The two-page paper by John Nash made the cornerstone to game theory.
Let's review what has been conveyed in this classic work.
Nash argued that in n-person games, there are equilibrium points. The arguments expand as follows:
Suppose there are \(n\) players, each with a pure strategy.
A point of a strategy profile is a vector of \(n\) player's strategies.
A countering strategy for player \(i\) is that given all other players' strategy fixed, the strategy along with best payoff for player \(i\).
A countering strategy profile \(p_{c}\) counters \(p\) if and only if every strategy in \(p_c\) counters \(p\).
A self-countering strategy profile is an equilibrium.
Nash argued there