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When playing card games like poker, the strategies available to players can sometimes be summarized as: Use Randomness (play unpredictably so that your opponents can't

When playing card games like poker, the strategies available to players can sometimes be summarized as:

  • Use Randomness (play unpredictably so that your opponents can't understand your moves).
  • Use Math (calculate probabilities based on the cards you can see, and use this information to make your decisions).
  • Use Psychology (watch your opponents for signs that they have especially good or bad hands).

A particular pair of players have different levels of skill in each of these strategies, so that their payoffs from any strategy profile are given by the following game table. The strategies here are abbreviated as R, M, and P, respectively.



Player 2


RMP
Player 1R0, 12, 01, 1
M2, 10, 21, 0
P1, 21, 10, 1


This game has no strictly dominated strategies.

In the space below, answer the following questions:

  • Does this game contain any non-rationalizable strategies? (You do not need to list them right now.)
  • If so, perform IENBR until none are left. List the order in which you eliminated strategies.
  • Does elimination alone reveal the Nash equilibrium of this game? If so, what is it?

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