Advanced Microeconomics/Dominance and Iterative Deletion

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Dominance[edit]

A strategy  s_i is strictly dominant iff:
 \forall s_j \neq s_i \in \mathbb{\mathcal{S}}:\quad U(s_i,s_{-i})>U(s_j,s_{-i})
A strategy  s_i is weakly dominant iff:
 \forall s_j \neq s_i \in \mathbb{\mathcal{S}}:\quad U(s_i,s_{-i})\geq U(s_j,s_{-i})