Game theory

Limits of equilibrium predictions

An equilibrium is a consistency condition on strategies and beliefs under a specified model. It does not guarantee that people will discover or play it.

Ask the Game theory assistant 1 min read · Updated September 9, 2026

Definition

An equilibrium is a consistency condition on strategies and beliefs under a specified model. It does not guarantee that people will discover or play it.

Intuition

Preferences, information, timing, and feasible actions must be modeled before an equilibrium prediction has meaning.

Worked example

Two coordination equilibria can both be stable against unilateral deviation, while the model alone does not select which one players reach.

The math

Existence, uniqueness, efficiency, and convergence are separate properties. Proving one does not establish the others.

Where it is used

Compare predicted behavior with evidence, and state assumptions when applying a classroom game to real institutions.

Sources

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