Thanks for your help! Player B Left Right Top 1,9 1,9 PlayerA Bottom 0,0 2,1 Doe

Question

Thanks for your help!                                                       Player B                              Left                Right                 Top        1,9                  1,9 PlayerA                                   Bottom   0,0                  2,1 Does either player have a dominant strategy? Identify any Nash equilibria in this game? Thanks for your help!                                                       Player B                              Left                Right                 Top        1,9                  1,9 PlayerA                                   Bottom   0,0                  2,1 Does either player have a dominant strategy? Identify any Nash equilibria in this game?                              Left                Right                 Top        1,9                  1,9 PlayerA                                   Bottom   0,0                  2,1 Does either player have a dominant strategy? Identify any Nash equilibria in this game?

Explanation / Answer

i'm a little bit rusty on game theory, but i am fairly certain thatPlayer B has a dominant strategy in choosing Right and player A hasno dominant strategy. And i believe that the only Nash equilibriumin this game is Top Left. This is because at this point there is noincentive for Player A to choose the bottom as he will decreasefrom 1 to 0, and player B would not change either because he wouldnot gain anything from choosing right, he remains at 9. hopefully this helps, if you need any more clarification feel freeto message me.

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