An economic system is thought to be evolutionary growing. Economists investigate human decision-making by monetary value. However, the emergent property of the economy has not been explained. A model considering the extent of the monetary value is required. In this paper, a time–space model is proposed to elucidate the economic evolution of a market. Since the market activities are always open and realtime, the model of time and space is complicated. For the complexity, the probabilistic boundary and expectations under a low-possibility are introduced. Then, time and space cannot be separated and are defined as an asynchronous relationship. We apply this time–space model to the adaptive agent models of single and double auctions. The results of the numerical simulation indicate the intermittency in a broad area of the control parameter. This result concludes that the extent of monetary value can be a basis of the evolutionary market.

一个经济系统被认为是进化式增长的。经济学家通过货币价值来研究人类的决策。然而，经济的新兴属性并没有得到解释。需要一个考虑货币价值范围的模型。在本文中，提出了一个时空模型来阐明市场的经济演变。由于市场活动始终是公开的和实时的，时空模型是复杂的。对于复杂性，引入了低可能性下的概率边界和期望。那么，时间和空间就不能分开，被定义为一种异步关系。我们将此时空模型应用于单次和双次拍卖的自适应代理模型。数值模拟的结果表明控制参数的广泛区域中存在间歇性。