-optimal and the sellers-optimal core allocations. Non- square markets are analyzed also by reducing them to appropriate square …

the same core. We state conditions on matrix entries that ensure that the related assignment games have the same core. We … prove that the set of matrices leading to the same core form a join-semilattice with a nite number of minimal elements and a …

without changing the core of the game. These games will be called buyerseller exact games and satisfy the condition that each … mixedpair coalition attains the corresponding matrix entry in the core of the game. For a given assignment game, a unique … buyerseller exact assignment game with the same core is proved to exist. In order to identify this matrix and to provide a …

horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core …

not be balanced. Some conditions for balancedness are provided and, in that case, properties of the core are analyzed … the cores of two assignment games coincides with the core of the sum game. …

the equal-partner binary relation determines the dimension of the core of the assignment game. This result provides an … easy procedure to determine the dimension of the core directly from the entries of the assignment matrix and shows that the … dimension of the core is not as much determined by the number of optimal matchings as by their relative position in the …

the core is provided, which is also valid for the class of convex games. For each ordering in the player set, a payoff … worth vectors, is the set of extreme points of the core of the assignment game. …

There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that … this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also …