Useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis, this book contains lecture notes which start with an elementary approach to stochastic calculus due to Follmer, who showed that one can develop Ito's...

This book deals with the economy as a complex interactive system. The emphasis is on the direct interaction between agents rather than on the indirect and autonomous interaction through the market mechanism. Contributions from economists and physicists emphasise the consequences for aggregate...

This book analyses situations in which individual agents, who might be different from each other, interact and produce behaviour on the aggregate level which does not correspond to that of the average actor. This leads to aggregate outcomes which would be impossible to explain in a more standard...