6. Conclusions
Many financial market anomalies are not well explained by traditional financial theory. The financial market is not always informa-tionally efficient, and rational arbitrage usually could not completely eliminate the irrational effects on asset prices. Numerous scholars have suggested that stock price is a combined result of higher-order expectations, investor sentiment, and some forms of bounded rationality. We examine this issue in a three-period market where investors are risk-averse, privately informed, heterogeneous expectations order, trade on private signal, make decisions by investor sentiment and sparsity-based bounded rationality jointly. Furthermore, as the extension to the dynamic setting which compared to the one-shot trading (static models such as Yang and Cai (2014)), investors often make multiple transactions in the real financial market, and determine current trading strategies while taking into account future trading opportunities. Moreover, the equilibrium prices result from multiperiod games among different types of investors; hence, we adopted the heterogeneous-order expectations dynamic model for investors. Then, in the first section of this paper, we propose a “sparsity-based” bounded rationality operator to depict bounded rationality by solving a two-term optimization with the first term: loss of imperfect decision, and the second term: cost of rationality (for details, see Yang and Liang (2016)). Summaries and conclusions for the characteristics of our model are described below.