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General Equilibrium
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Ask a question about: General Equilibrium
Respond to the question: Continous games with symmetric players?

10/31/2016 04:38 AM by EstEst;
I think the answers to both questions are negative. Consider a two-player game where two players (1 and 2) choose the numbers x_1, x_2 from the set [0,2], and the payoff of each player is given by u_i(x_1,x_2)=x_i+(x_1-x_2)^2. Then
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10/24/2016 05:59 AM by Paul; Add-On
Do we know that each nash equlibrium strategy in such a game is symmetric, too? [View full text and thread]

10/24/2016 05:15 AM by Paul; Continous games with symmetric players
is there some theorem stating, that in every continuous game with symmetric players every nash equlibrium will yield the same utility to all players?
Or something like this for special cases?
The theorem seems quite natural to me, but in discrete games it would not be true.

Any help is very appreciated. Thank you.
Paul [Manage messages]