Homo Economicus has progressed from an atomistic and self-interested individual in standard economics to a socially embedded agent in modern economics who is endowed with a particular social identity or with specific preferences for the latter. While this vision makesthe economic agent more...

This paper studies a one-sided limit order book (LOB) model, in which the order dynamics depend on both, the current best bid price and the current volume density function. For the joint dynamics of the best bid price and the standing buy volume density we derive a weak law of large numbers,...

We consider a stochastic model for the dynamics of the two-sided limit order book (LOB). Our model is flexible enough to allow for a dependence of the price dynamics on volumes. For the joint dynamics of best bid and ask prices and the standing buy and sell volume densities, we derive a...

We define a stochastic model of a two-sided limit order book in terms of its key quantities \textit{best bid [ask] price} and the \textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps the expected volume rate over the considered price...

The original Homo Economicus has progressed from an atomistic and self-interested individual to a socially embedded agent in modern economics. In particular, social interaction models suggest that the individual’s own utility of undertaking an action may be influenced by the number of peers...

We study the long run behaviour of interactive Markov chains on infinite product spaces. In view of microstructure models of financial markets, the interaction has both a local and a global component. The convergence of such Markov chains is analyzed on the microscopic level and on the...