👉 Nash's theorem is a fundamental result in game theory that establishes the existence of Nash equilibria, which are critical points where agents choose their strategies optimally under uncertainty. It states that any collection of n players (n ≥ 2) with rational preferences can find an equilibrium where each player's expected payoff equals their own expected payoff plus a positive constant. This result is crucial in social choice theory and has numerous applications across various fields, including economics, politics, and law.