A consistency criterion for price impact functions in limit order markets is proposed that prohibits chain arbitrage exploitation. Both the bid-ask spread and the feedback of sequential market orders of the same kind onto both sides of the order book are essential to ensure consistency at the...

The minority game is a generic model of competing adaptive agents, which is often believed to be a model of financial markets. We discuss to which extent this is a reasonable statement, and present minimal modifications that make this model reproduce stylized facts. The resulting model shows...

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes as they do not allow for proper predictability removal: for instance, the exploitation of a single large trade whose size and time of execution are known in advance to some insider...