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We seek to utilize the nonextensive statistics to the microscopic modeling ofthe interacting many-investor dynamics that drive the price changes in amarket. The statistics of price changes are known to be fit well by theStudents-T and power-law distributions of the nonextensive statistics. Wetherefore derive models of interacting investors that are based on thenonextensive statistics and which describe the excess demand and formation ofprice.

Interacting Many-Investor Models, Opinion Formation and Price Formation with Non-extensive Statistics