Complements and substitutes in generalized multisided assignment economies

Abstract

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in AbstractWe consider a finitely populated economy in which there are different types of agent, each agent is of exactly one type, and profit is created by coalitions containing at most one agent of each type (or side). The surplus of a so-called generalized multisided assignment economy is defined as the maximum aggregate profit that can be attained by matching agents into pairwise disjoint coalitions of the above kind. We present negative results that establish that when the economy consists of more than two sides (i) agents on different sides may not be complements, i.e., they do not necessarily reinforce each other's influence on the surplus and (ii) agents on the same side may not be substitutes, i.e., they do not necessarily interfere with each other's influence on the surplus. These findings are in marked contrast with the results for two-sided assignment economies (Shapley, 1962). We propose novel notions for the complementarity and the substitutability of disjoint subsets of agents and we find conditions that ensure that the former are satisfied.

Generalized three-sided assignment markets: core consistency and competitive prices

“…These markets have already been considered in Tejada (2013) to see that agents of different sectors do not need to be complements and agents of the same sector do not need to be substitutes. Clearly, this class of coalitional games includes the classical three-sided assignment games of Quint (1991b) where value is only generated by triplets of agents belonging to different sectors.…”