Approximate Solution

A pair $(s,v)\in\overline\Gamma$ is an approximate solution if there exist profiles $s^n$ and positive numbers $\epsilon_n\to 0$ such that:

1. each $s^n$ is an $\epsilon_n$-equilibrium;
2. $(s^n,g(s^n))\to(s,v)$.

The profile $s$ is then called an approximate equilibrium.

References

• [MFoGT, Def. 4.8.9] Laraki, Renault, and Sorin, Mathematical Foundations of Game Theory. Approximate solution and approximate equilibrium.