definition
admitted
Weak Dominance
A strategy $s_i$ weakly dominates another strategy $s'_i$ for player $i$ if, for every profile $\sigma$ of the other players, playing $s_i$ yields at least as high a payoff as playing $s'_i$:
$$\forall \sigma, \quad u_i(\sigma[i \mapsto s'_i]) \le u_i(\sigma[i \mapsto s_i]).$$
References
- [MSZ, Chapter 2, Section 2.3] Maschler, Solan, and Zamir, Game Theory. Definition of weak dominance.