Abstract
The relation between price and resource distribution is an interesting problem in economics and network engineering. It shares many features with many-body physics. We consider a network trading model in which nodes of a network trade resource with its neighbors. They determine their price by maximizing their own payoffs through a local bargaining process. We show that this local process enables the network to reach a Nash equilibrium under favorable conditions. Distribution of price, current, demand and cost are compared with analytical results in the high connectivity limit. As the total capacity goes to zero, the price will show a turning point of rapid increase, which can find correspondence with some practical price trends such as the oil price.