Instabilities in quasi-efficient markets

  • Dmitrijs Sitnikovs

Student thesis: Doctoral ThesisDoctor of Philosophy


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
Date of Award2017
Original languageEnglish
SupervisorAlexander Stepanenko (Supervisor)


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

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