Game Theory, Part 3 ( Strictly Determined Game Examples )

Game Theory, Part 3 ( Strictly Determined Game Examples ).
In this video, I examine 3 matrices that correspond to strictly determined games. I find the optimum strategy for each player and also find the value of each game.

[zacharywindover]

Thank you for explaining this, this was a big help!

[LeeroyLeone]

This seems to be very interesting. I want to know more about game theory! There are so many questions in my head at the moment.

[patrickjmt]

yes, those are nondetermined games. i spent 4 hours today writing stuff about them but have yet to record the videos about it. these will be the much more interesting cases.

[WanderingYoda]

Thank you for this introduction to game theory.

[daninjango]

Would it be correct to say in the third example that R would be mostly like to choose the 4th row over the 2nd row instead of both due to comparison of subsequent losses/wins? What I'm saying is that since both row's lowest value is 0, would R look at the next lowest values (1 and 1) and then the next lowest values (2 and 3) to determine that it is better to play the 4th row?

[jkid]

Can there be multiple saddle values, and if so, what happens?

[ikiseikel]

What happens if you got a game with two saddle points that are neither in the same row nor column?
I assume this is not a determined game?

[Basram]

@jkid1134 yes he demonstrated this in the last example. Nothing really happens, apart from offering more choices to the player

[ogundarevictor]

2 4 5
10 7 q
4 p 6
Kindly explain how to do find the range of values for q and p if the saddle point for the game is(2, 2)

[wdfomfg]

I'd love to see some videos on number theory :p then again that's what I have numberphile for....

[Valhala]

You probably noticed this after making the video, but you for the second example, you accidentally stated and wrote that the row player would pick the 2nd "column" as their optimal strategy. It should be that they'd pick the second "row".

[sindisilendaba]

In question 2 you meant R plays 2nd row, not column!!

[Basram]

@daninjango Not really, since this game is all about minimizing risks and not "fooling" the other player like in poker. The 2nd and 4th rows are equally "risky" based on player C also always choosing the least risky column.

[shaikali]

your class is nice but i am expected in mba game theory