Best-response equivalence with 2x2 zero sum games












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Prove that every nondegenerate 2x2 game that does not have identical
interests is best response equivalent in mixed strategies to a zero-sum game.



I saw this statement in Shapley's paper here at the bottom of page 6. Have been searching like a starving dog for the answer but just not getting it. I'd really really appreciate if someone could help.



Nondegenerate just means invertible.










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    0














    Prove that every nondegenerate 2x2 game that does not have identical
    interests is best response equivalent in mixed strategies to a zero-sum game.



    I saw this statement in Shapley's paper here at the bottom of page 6. Have been searching like a starving dog for the answer but just not getting it. I'd really really appreciate if someone could help.



    Nondegenerate just means invertible.










    share|cite|improve this question

























      0












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      0







      Prove that every nondegenerate 2x2 game that does not have identical
      interests is best response equivalent in mixed strategies to a zero-sum game.



      I saw this statement in Shapley's paper here at the bottom of page 6. Have been searching like a starving dog for the answer but just not getting it. I'd really really appreciate if someone could help.



      Nondegenerate just means invertible.










      share|cite|improve this question













      Prove that every nondegenerate 2x2 game that does not have identical
      interests is best response equivalent in mixed strategies to a zero-sum game.



      I saw this statement in Shapley's paper here at the bottom of page 6. Have been searching like a starving dog for the answer but just not getting it. I'd really really appreciate if someone could help.



      Nondegenerate just means invertible.







      game-theory






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Nov 28 '18 at 16:43









      user3242492

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