One bargainer from a nite population X, is matched at random with a bargainer from another nite population Y. They simultaneously precommit to "minimal" shares of a unit surplus. Populations di er in their degree of perseverance, parameterized by 2 (0; 1). If the players precommit to x and y such that x+ y 1, then player i gets his demand xi as well as a fraction i of the unbargained surplus (1...