In game theory and economic theory, a zero-sum game is a mathematical representation of a situation in which each participant’s gain or loss of utility is exactly balanced by the losses or gains of the utility of the other participants. If the total gains of the participants are added up and the total losses are subtracted, they will sum to zero. We will regard the zero-sum game from a convex optimization perspective, that is each player is solving a convex optimization problem. Well, are they related ? Watch the whole lecture to know. This lecture is outlined as follows:

00:00 Intro

02:08 What is the Zero-sum Game ?

03:18 The Payoff Matrix

04:00 Randomized – Mixed strategies

07:55 What is Player 2 trying to do ?

09:49 What is Player 1 trying to do ?

11:37 Reformulating (P1) as a linear program

14:42 Solving for Player’s 1 optimal strategy on MATLAB

17:33 Solving for Player’s 2 optimal strategy on MATLAB

18:41 Solving both strategies for any Zero-sum Game

23:41 The influence of the Payoff matrix

25:45 Outro

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The internet really is great isn't it ? Once you get beyond all gaming, memes and anime, you realise you can educate yourself to a high level and pay nothing

Problems are opportunities. Right now there are a lot of problems.

Man, I wish that I had found this channel much sooner. But, better late than never. Great vid.

I have an exam in financial statistics tomorrow and this was helpful. Thank you Ahmad

How is in 9:35 the set equal to min of u^TP over all entries ? Thank you

תודה על השיעור הפורה

Merci beaucoup

Please make a video on stock prediction prices : )

Great video professor.

Max-flow explain it.

we solve it as a zero-sum game?

Generate lecture on max-flow.

John Nash Equilibrium please.

Great lecture.

Max-flow lecture that !!!

Prisoner’s i don’t understand this topic

Max-flow please.

Ahmad Bazzi is John Forbes Nash reincarnated !!

Please explain PRISONER’s DILEMMA

Bazzi playing like rock!!