Strategy profile
= Strategy profile
{title2=$s=(s_1,\ldots,s_n)$}
A <strategy profile> specifies one strategy for every player. A <pure strategy> <strategy profile> lies in the <Cartesian product> $S_1\times\cdots\times S_n$ of the players' strategy <sets>. A <mixed strategy> <strategy profile> specifies one <probability distribution> $\sigma_i$ over each $S_i$. Write $s_{-i}$ or $\sigma_{-i}$ for the choices of all players except player $i$.