 The Basis Game that Braithwaite analyzed in his Cambridge lecture is ideal for illustrating the axiomatic approach to the bargaining problem. In this game two agents, Luke and Matthew, vie for shares of a limited resource. Like the Wine Problem, the Braithwaite Basis Game is a conflictual coordination game in which each agent has two pure strategies available, H in which the agent claims all of the good at stake, and D in which he claims none. Here (H,D) is the Nash equilibrium most favorable to Luke and (D,H) is the equilibrium most favorable to Matthew. As  Figure 10  illustrates, though, this game has asymmetries not present in the Wine  Problem.[4]