{\displaystyle \forall \sigma _{i}\in \Sigma _{i}:u_{i}(\sigma _{1}^{*},\dotsc ,\sigma _{i}^{*},\dotsc ,\sigma _{n}^{*})\geq u_{i}(\sigma _{1}^{*},\dotsc ,\sigma _{i},\dotsc ,\sigma _{n}^{*})}