Multi-Agent Interaction in Social Trading Network
  The online retailers network models are considered. In some nodes of the network consumers are located. Each consumer wishes to purchase a particular product at minimal cost due to the price of goods and transport corruption costs. Also, in some nodes of network online-retailers wish to allocate the points of goods delivery. The points of goods delivery must be placed in accordance with a certain principle of optimality. In this paper we propose an algorithm for finding the optimal placement of goods delivery points in accordance with the compromise solution as the principle of optimality. 
Oleg Malafeyev, Nadezhda Redinskikh, Nikolay Rumyantsev
math.OC math.PR