Reputation
660
Top tag
Next privilege 1,000 Rep.
Create new tags
Badges
3 5
Newest
 Commentator
Impact
~7k people reached

Jan
29
answered How to solve mixed strategy Nash equilibrium.
Jan
13
awarded  Commentator
Jan
13
comment How can I find the Nash-equilibrium of the following zero sum game?
OK, now upvoted.
Jan
12
comment How can I find the Nash-equilibrium of the following zero sum game?
There is a unique completely mixed equilibrium (the symmetric one above). There is no other. This is a zero-sum game, so there is either one or infinitely many equilibria and all must have the same value - in this case 0 - and there is no mixed strategy for either player with support size 2 that guarantees a payoff of 0 (which can actually be seen just from the sign structure of the payoffs). You can double check with banach.lse.ac.uk
Nov
18
comment Game Theory Mixed Strategy Nash Equilibrium
It does, but it also does more. It identifies which possible mixtures are candidates for being part of an equilibrium: for each vertex (i.e. mixture of player I, say) on the upper envelope, you just need to check if player II can use the best response strategies to this mixture to make player I indifferent between her two strategies, and if you can there is a corresponding equilibrium.
Nov
17
answered Game Theory Mixed Strategy Nash Equilibrium
Nov
4
revised how to find weight of some daily data?
added 1451 characters in body
Nov
4
answered how to find weight of some daily data?
Aug
18
comment Find a Nash equilibrium solver
Then you can and should use exact arithmetic. Gambit should be fine. Gambit can use lrslis with the -L flag, but I am not sure who widely tested this is. Any problems, then you could also use lrs directly, see cgm.cs.mcgill.ca/~avis/C/lrslib/USERGUIDE.html#nash and this other answer here: math.stackexchange.com/questions/881906/…
Aug
17
revised Find a Nash equilibrium solver
deleted 1 character in body
Aug
17
comment Find a Nash equilibrium solver
Python is certainly a good choice, especially with Gambit. How many players do your games have?
Aug
16
answered Find a Nash equilibrium solver
Jul
22
awarded  Yearling
Jun
25
revised Can mixed strategies outperform pure strategies?
added 10 characters in body
Jun
25
answered Can mixed strategies outperform pure strategies?
Jun
1
answered Question about Game theory, matrix games.
Apr
8
revised show no equilibrium pairs exist in a non cooperative game using pay-off set?
added 1 character in body
Apr
8
revised show no equilibrium pairs exist in a non cooperative game using pay-off set?
added 15 characters in body
Apr
8
answered show no equilibrium pairs exist in a non cooperative game using pay-off set?
Apr
4
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.