In the assignment game framework, we try to identify those assignment matrices in which no entry can be increased 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...

Singlevalued solutions for the case of twosided market games without product differentiation, also known as B ohmBawerk horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core. Moreover a characterization of this set of games in...

The set of optimal matchings in the assignment matrix allows to define a reflexive and symmetric binary relation on each side of the market, the equal-partner binary relation. The number of equivalence classes of the transitive closure of the equal-partner binary relation determines the...

Although assignment games are hardly ever convex, in this paper a characterization of their set or extreme points of the core is provided, which is also valid for the class of convex games. For each ordering in the player set, a payoff vector is defined where each player receives his marginal...

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 coincide. To show this, we prove that the nucleolus of...

We study the behaviour of the extreme points of the core of a game in front of the reduction of the game and prove that the extreme core points have the reduced game property but not the converse reduced game property. Nevertheless we give some sufficient conditions on an extreme point of the...

Uniform{price assignment games are introduced as those assignment mar- kets with the core reduced to a segment. In these games, for all active agents, competitive prices are uniform although products may be non-homogeneous. A characterization in terms of the assignment matrix is given. The only...