seniorGame Theory
What is Markov Perfect Equilibrium (MPE)?
Updated May 16, 2026
Short answer
Markov Perfect Equilibrium is an equilibrium concept for dynamic games where strategies depend only on the current state.
Deep explanation
MPE is used in stochastic or dynamic games where players make decisions over time. A strategy is Markovian if it depends only on the current state, not the full history. MPE requires that strategies form a Nash equilibrium in every state, ensuring consistency over time and across states.
Real-world example
Used in dynamic pricing systems like ride-sharing surge pricing.
Common mistakes
- Confusing MPE with subgame perfect equilibrium
- MPE restricts strategies to state dependence only.
Follow-up questions
- How is MPE different from subgame perfect equilibrium?
- Where is MPE used in ML?