CRM: Centro De Giorgi
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Summer School of Mathematics for Economics and Social Sciences

14 September 2015 - 18 September 2015

Planned Activities

Syllabus of "Financial Economics 2.0: bubbles, instability and speculation"

After a brief refresh of the theory of choices under uncertainty, securities markets, and the notion of arbitrage, the course introduces to the tools and methods of inter-temporal equilibrium models with heterogeneous agents. On the economic side, the focus is on the role of heterogeneous beliefs and preferences on asset pricing. Both standard general equilibrium models and evolutionary models are presented. On the mathematical side, classical results on local and global analysis of stochastic processes are reviewed. Inside this framework, the course proceeds to analyze three interrelated aspects: the occurrence of rational bubbles, the effect and persistence of speculation, and optimal portfolio choice in an evolutionary framework.

Schedule of the course


• Introduction to financial economics: choices under uncertainty, security markets, arbitrage • Sequential betting and the Kelly rule


• Local and global stability of stochastic fixed points • Asset pricing with heterogeneous boundedly rational agents: evolutionary finance


• Speculation in an inter-temporal equilibrium model


• Rational bubbles (special guest)


• Evolutionary portfolio management (special guest)

Please also look at Preliminary Syllabus for more details. Section Timetable with the final schedule will be updated in due time.