Economic and Game Theory
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The pay-off of A is K (a constant >0). The pay-off of B if f(m), a function of the number of players who choose strategy A. f is a fairly complated function but we know that is is monotonic, i.e. f(i+1)>f(i) for all 0<=i<=N. We also know that f(0)=0 and f(N)>K. So the best outcome for any indiviual player is that everybody else chooses A and he/she chooses B.
What can be said about the existance of an equilibrium in this game?
I am a theoretical physicist (PhD in string theory) but with very limited experience of Game Theory.
I would be grateful for an answer. [Manage messages]