Instabilities in quasi-efficient markets

Student thesis: Doctoral ThesisDoctor of Philosophy

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Dmitrijs Sitnikovs

Research units


This thesis studies ways of modelling instabilities in quasi-efficient markets. We consider quasi-efficient markets where arbitrage is possible, but is relatively small and short lived. Under such a assumption we derive optimal arbitrage strategy of one agent and consider possible ways of funding optimal strategy under stop-loss constraint. Optimal strategy is used to build a multi-agent model which defines the arbitrage dynamics, i.e. its mean- reverting behaviour. The influence of agents on the asset prices is modelled by means of permanent price impact function. Multi-agent model is self-consistent as it creates mean-reverting term of the same type under which the optimal strategy for one agent was derived. As we show adding stop-loss constraint creates possibility for market instabilities


Original languageEnglish
Awarding Institution
  • Alexander Stepanenko (Supervisor)
Award date2017


  • limits of arbitrage, stop-loss, market instabilities, margin call, superportfolio, market impact


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