= Solution
\b[Neither player has a <weakly dominant strategy> among its <pure strategies>.] Against an opponent at site one, the unique <best response> is site two, yielding $2k-2$. Co-location yields only $k$, and moving further right reduces one's <payoff>. Against an opponent at site $k$, the unique <best response> is $k-1$, by reflection. For $k\geq4$, these two sites differ. No single <pure strategy> can therefore be a <best response> to both opposing actions, as a <weakly dominant strategy> would require.
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