I can't seem to get the differences of these terms.

I watched this video that has the differences of best response and Nash equilibrium: best response vs Nash equilibrium

But then I heard about dominant strategies from another video and searched for differences to land at this quiz question:

Is a​ player's best response in a game the same as his dominant​ strategy? Not necessarily. If a player has a dominant​ strategy, then it is his best​ response; however, every best response is not always a dominant strategy.

Is there a table form that shows the differences of these 3 based on a specific player and what other players would do?


1 Answer 1


Consider the following game between P1 (row player) and P2 (column player):

\begin{array}{|c|c|c|}\hline & L & R \\\hline T& 1,1 & 2,0 \\\hline B& 0,0 & 1,1 \\\hline \end{array}

  • $T$ is P1's dominant strategy
  • $T$ is P1's best response to both of P2's strategies $L$ and $R$
  • $L$ is P2's best response to P1's strategy $T$
  • $R$ is P2's best response to P1's strategy $B$
  • $(T,L)$ is the only Nash equilibrium

Generalizing from the above observations:

  1. A strategy is dominant if and only if it is a best response to each of the other player's strategies, e.g. P1's $T$.
  2. A strategy that is a best response to some but not all of the other player's strategies cannot be a dominant strategy, e.g. P2's $L$ and $R$.
  3. A Nash equilibrium is a pair of mutually best responding strategies, e.g. $(T,L)$.

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.