We define a class of pure exchange Edgeworth trading processes that under minimal assumptions converge to a stable set in the space of allocations, and characterise the Pareto set of these processes. Choosing a specific process belonging to this class, that we define fair trading, we analyse the trade dynamics between agents located on a weighted network. We determine the conditions under which there always exists a one-to-one map between the set of networks and the set of stable equilibria. This result is used to understand what is the effect of the network topology on the trade dynamics and on the final allocation. We find that the positions in the network affect the distribution of the utility gains, given the initial allocations

翻译：我们定义了一类纯粹的外汇埃格沃斯交易流程,根据最低假设,这些交易流程在分配空间的稳定组合中汇合,并定性了这些流程的Pareto系列。选择了属于这一类别的具体流程,我们定义了公平贸易,我们分析了位于加权网络上的代理商之间的贸易动态。我们确定了一系列网络和稳定的平衡组合之间始终存在一对一的地图的条件。这一结果被用来了解网络结构对贸易动态和最终分配的影响。我们发现,鉴于最初的分配,网络中的位置影响到公用事业收益的分配。