There has been much recent interest in two-sided markets and dynamics thereof. In a rather a general discrete-time feedback model, which we show conditions that assure that for each agent, there exists the limit of a long-run average allocation of a resource to the agent, which is independent of any initial conditions. We call this property the unique ergodicity. Our model encompasses two-sided markets and more complicated interconnections of workers and customers, such as in a supply chain. It allows for non-linearity of the response functions of market participants. It allows for uncertainty in the response of market participants by considering a set of the possible responses to either price or other signals and a measure to sample from these. Finally, it allows for an arbitrary delay between the arrival of incoming data and the clearing of a market.

翻译：最近人们对双面市场及其动态产生了很大兴趣。在一个相当普遍的离散时间反馈模型中,我们展示了确保每个代理商都存在资源长期平均分配给代理商的限制条件,该代理商独立于任何初始条件之外。我们称这一属性为独有的专有性。我们的模型包括双面市场以及工人和客户之间更为复杂的相互联系,如供应链中,它允许市场参与者的反应功能不线性。它通过考虑一套对价格或其他信号的可能反应以及抽样措施,允许市场参与者的反应不确定。最后,它允许在到达数据与市场清算之间任意拖延。