write on paper, thanks Back to the Tragedy of Commons from the class, in its sim

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write on paper, thanks

Back to the Tragedy of Commons from the class, in its simultaneous version. For each player, what are the dominated strategies in the original game? What is the action that dominates them? (Hint: When looking for, say, dominated actions of player 1, it is very helpful to look at the derivative of his profits with respect to his action. Can this derivative be negative, no matter what player 2 does? What does it mean?) After you delete the dominated strategies in a), what are the dominated strategies in this "smaller" game? (Formally: what strategies survive two rounds of deletion of dominated strategies)? For your curiosity: the only strategies that survive the iterated deletion (if you continue) are the Nash Equilibrium strategies q1 = q2 = 331/3. The proof is quite difficult, however...

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