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Apr 7, 2016 at 16:22 comment added Giskard @MartinVanderLinden The conjecture did seem logical. I did not post an answer first because I thought it was trivially true but would require a very technical proof.
Apr 7, 2016 at 14:29 comment added Martin Van der Linden That's right. Thanks a lot for keeping up with the question and getting back to it after a while. Your example helped me realize the above "conjecture" was based on very wrong intuition.
Apr 7, 2016 at 14:17 vote accept Martin Van der Linden
Apr 7, 2016 at 4:19 comment added Giskard @MartinVanderLinden The counterexample still holds. Information-wise $\Gamma$ is a refinement of $\Gamma'$. There is a pure strategy equilibrium in $\Gamma$ and no pure strategy equilibrium with the same payoff exists in $\Gamma'$ because there are no pure strategy equilibria in $\Gamma'$ .
Apr 7, 2016 at 0:32 comment added Martin Van der Linden Thanks @denesp. Sorry, yet another thing I forgot to include in my question : I am interested in pure strategies only. But I like you're example for mixed strategies.
Apr 6, 2016 at 21:17 history undeleted Giskard
Apr 6, 2016 at 21:17 history edited Giskard CC BY-SA 3.0
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Apr 6, 2016 at 21:10 history deleted Giskard via Vote
Apr 6, 2016 at 21:10 history answered Giskard CC BY-SA 3.0