We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to the case of 2 × m or m × 2 assignment games.
Martínez, J.; Rafels, C.; Ybern, M. On the nucleolus of 2 × 2 assignment games. "Economics bulletin", 2013, vol. 2, núm. 1, p. 1641-1648.