In this paper we present an interacting-agent model of stock markets. Wedescribe a stock market through an Ising-like model in order to formulate thetendency of traders getting to be influenced by the other traders' investmentattitudes [1], and formulate the traders' decision-making regarding investmentas the maximum entropy principle for nonextensive entropy. We demonstrate thatthe equilibrium probability distribution function of the traders' investmentattitude is the {\it q-exponential distribution}. We also show that thepower-law distribution of the volatility of price fluctuations, which is oftendemonstrated in empirical studies, can be explained naturally by our modelwhich is based on the collective crowd behavior of many interacting agents.
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机译：在本文中，我们提出了股票市场的交互代理模型。我们通过一个类似于Ising的模型来描述一个股票市场，以便制定交易者的趋势，使其受到其他交易者的投资态度的影响[1]，并制定交易者关于投资的决策，将其作为非广义熵的最大熵原理。我们证明了交易者投资态度的均衡概率分布函数为{\ it q-指数分布}。我们还表明，在经验研究中经常证明的价格波动波动率的幂律分布，可以由我们的模型自然地加以解释，该模型基于许多相互作用主体的集体人群行为。
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