Abstract
Shapley and Shubik [2] propose a famous game called the assignment game. Such a game models two-sided markets in which multiple units of an indivisible good are traded between owners and nonowners. In [2][3], it is shown that the core of the assignment game can be obtained by solving a linear programming problem. Nonetheless, no explicit expression of the core of the assignment game is given. In this thesis, we consider a variant of the assignment game in which the goods are homogenous and each owner is allowed to have more than one unit of the good. This thesis provides an explicit expression of the core for a special case.