Causation

How Historical Precedent Can Lead to a Pareto-Inferior Nash Equilibrium

In games with multiple Nash equilibria, such as the specialization game, there is no certainty that players will coordinate on the Pareto-superior outcome. When players act independently, the final outcome can be influenced by external factors such as historical practices or social conventions. For example, if Bala traditionally grows cassava, Anil's best response is to cultivate rice. This locks them into the (Rice, Cassava) equilibrium. Even though both would earn more in the (Cassava, Rice) equilibrium, neither has a unilateral incentive to switch, illustrating how path dependency can result in a stable, yet Pareto-inferior, outcome.

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Updated 2025-07-30

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