 There are some internal difficulties with Gauthier’s theory that need to be recorded briefly (for a full discussion, see Barry 1989, esp. Part III). One is whether Minimax Relative Concession is in fact the correct solution to the bargaining problem that Gauthier introduces, as opposed to the standard Nash solution which (in a simple two-person case) selects the outcome in which the product of the two parties’ utilities is maximised (for discussion of different solutions to the bargaining problem, see the entry on  contemporary approaches to the social contract,  § 3.2). A second is whether Gauthier is able to justify positing a ‘Lockean’ baseline, under which each is assumed to respect the natural rights of the others, as the starting point for bargaining over the surplus – as opposed to a more conflictual ‘Hobbesian’ baseline in which individuals are permitted to use their natural powers to threaten one another in the process of establishing what each could expect to get in the absence of co-operation. But the larger question is whether a contract modelled in this way is an appropriate device for delivering principles of justice. On the one hand, it captures the idea that the practice of justice should work to everyone’s advantage, while requiring all those involved to moderate the demands they make on one another. On the other hand, it prescribes a final distribution of benefit that appears morally arbitrary, in the sense that A’s bargaining advantage over B – which stems from the fact that his maximum possible gain is greater than hers – allows him to claim a higher level of benefit as a matter of justice. This seems implausible: there may be prudential reasons to recommend a distribution that reflects the outcome that self-interested and rational bargainers would arrive at, but claims of justice need a different basis.