  We propose a set of conservative models in which agents exchange wealth with
a preference in the choice of interacting agents in different ways. The common
feature in all the models is that the temporary values of financial status of
agents is a deciding factor for interaction. Other factors which may play
important role are past interactions and wealth possessed by individuals.
Wealth distribution, network properties and activity are the main quantities
which have been studied. Evidence of phase transitions and other interesting
features are presented. The results show that certain observations of real
economic system can be reproduced by the models.
