We consider cooperative games with transferable utility (TU-games), in which we allow for a social structure on the set of players, for instance a hierarchical ordering or a dominance relation. The social structure is utilized to refine the core of the game, being the set of payoffs to the...

Many economic and social situations can be represented by a digraph. Both axiomatic and iterative methods to determine the strength or power of all the nodes in a digraph have been proposed in the literature. We propose a new method, where the power of a node is determined by both the number of...

In a standard general equilibrium model it is assumed that there are no price restrictions and that prices adjust infinitely fast to their equilibrium values. Price rigidities may cause that a competitive equilibrium cannot be attained, and rationing on net demands or supplies is needed to clear...

In this paper we generalize the concept of a non-transferable utility game by introducing the concept of a socially structured game. A socially structured game is given by a set of players, a possibly empty collection of internal organizations on any subset of players, for any internal...

This discussion paper led to a publication in 'Social Choice and Welfare', 2005, 24, 439-454.<P> Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe...</p>

This discussion paper led to a publication in 'Games and Economic Behavior', 2005, 51, 193-212. <P> A cooperative game with transferable utility describes a situation in which players can obtain certain payoffs by cooperation. A sharefunction for such games is a function which assigns for every...</p>

This discussion paper resulted in a publication in 'Siberian Advances in Mathematics', 2002, 12, 97-125.<P> A cooperative game with transferable utilities, or simply aTU-game, describes a situation in which players can obtain certainpayoffs by cooperation. A solution mapping for these games is...</p>

This discussion paper resulted in a publication in the 'SIAM Journal on Optimization', 2007, 18, 290-308. <P> In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under...</p>

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are nonnegative), and there is some hierarchical...