Rahul Savani
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 Apr8 revised show no equilibrium pairs exist in a non cooperative game using pay-off set? added 1 character in body Apr8 revised show no equilibrium pairs exist in a non cooperative game using pay-off set? added 15 characters in body Apr8 answered show no equilibrium pairs exist in a non cooperative game using pay-off set? Apr4 comment I can't find the Nash equilibrium of this 3x2 game. Forget the equations for a minute and think about why Henry's answer is correct. Remember: a Nash equilibrium is a pair of mutual best responses. Equivalently, a pair of mixed strategies are an equilibrium if and only if all pure strategies played with positive probability are best responses. If player 2 mixed uniformly then player 1 gets 0 from the bottom two rows and (always) gets $a>0$ from the two top. Against the top row, player 2 is indifferent (so any mixture is a best response). Thus this is an equilibrium. Use banach.lse.ac.uk to solve games and refine your intuition. Mar15 revised What is the story behind ${n+1 \choose k} = {n \choose k} + {n \choose k-1}$? added 5 characters in body Mar15 answered What is the story behind ${n+1 \choose k} = {n \choose k} + {n \choose k-1}$? Feb20 revised Lemke-Howson pivoting in degenerate bimatrix games added 9 characters in body Feb18 answered Lemke-Howson pivoting in degenerate bimatrix games Feb5 answered Mixed Nash equilibrium in two players game three stategies Jan21 answered Calculating Nash equilibrium in mixed strategy in a game where a Nash equilibrium in pure strategy exists Jan21 awarded Yearling Nov20 revised How can I tell if a two-person game is non-degenerate, given its payoff matrices? added 37 characters in body Nov20 answered How can I tell if a two-person game is non-degenerate, given its payoff matrices? Nov16 comment Could there be multiple symmetric equilibriums in a symmetric games? You're welcome. Nov13 answered Could there be multiple symmetric equilibriums in a symmetric games? Nov4 revised Prove two person gerneral sum game , the expected payoff cannot be lower than safety level. The previous definition of safety level was imprecise and thus confusing - see, e.g., the comment. Removed this part, which leaves a well-defined question, since "safety level" is a standard concept. Nov4 suggested approved edit on Prove two person gerneral sum game , the expected payoff cannot be lower than safety level. Nov4 answered Prove two person gerneral sum game , the expected payoff cannot be lower than safety level. Oct11 revised Mixed Nash equilibrium for non-square matrix game added 9 characters in body Oct10 answered Mixed Nash equilibrium for non-square matrix game