This paper critically reviews Ken Binmore's non-utilitarian and game t
heoretic solution to the Arrow problem. Binmore's solution belongs to
the same family as Rawls' maximin criterion and requires the use of Na
sh bargaining theory, empathetic preferences, and results in evolution
ary game theory. Harsanyi has earlier presented a solution that relies
on utilitarianism, which requires some exogenous valuation criterion
and is therefore incompatible with liberalism. Binmore's rigorous demo
nstration of the maximin principle for the first time presents a real
alternative to a utilitarian solution.