Normal Form Games // Intro to Game Theory // Episode 2

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The 1st episode in the Game Theory playlist on the Prisoners Dilemma: • Game Theory
In this video we introduce our first major category of game that we will study in Game Theory called Normal Form Games. These are games between a finite number of players, with each player having a finite number of options, and then a defined payoff for every possible set of chosen actions. The Prisoners Dilemma we saw previously is an example of a normal form game, as is good old Rock-Paper-Scissors. We will also see two more examples, one I call Hawk vs Dove, and one I call Sushi vs Thai. Each game can be represented by a payoff matrix. In the next episode we will discuss more about how to find optimal strategies to play Normal Form games, and if optimal strategies even exist!
0:00 Normal Form Games
1:45 Payoff Matrix
3:14 Hawk vs Dove Game
6:11 Sushi vs Thai Game
8:26 Formal Definition of Normal Form Games
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[@Darkev77]

Wow honestly, I can tell there was so much effort put into this video; absolutely brilliant professor! Can’t wait for this series as I’m currently studying Machine Learning so that’ll be fun!

[@DrTrefor]

Thanks! Nice, Game Theory and ML dovetail quite a bit

[@MateoAcosta-zi2us]

incredibly well explained! thank you very much!

[@continnum_radhe-radhe]

Amazing Content Sir!

[@patelharsh5133]

sir you are cool as liquid nitrogen

[@DrTrefor]

lol I’ll take that!

[@esorminihaz8269]

I've never seen vector as matrix entries before. It feels like a 3-dimensional array of numbers. Excited to learn more!

[@DrTrefor]

It is a kinda cool structure! Ultimately an array can contain anything, even other arrays!

[@StaticBlaster]

Also, I might consider getting a Brilliant subscription. I still have my math and science textbooks but they only do so much for refreshing my skills. Brilliant sounds like it has practice quizzes and exams which I need to test what I'm learning.

[@fabihaibnat3105]

i was struggling with game theory and my semester finals are very near. this helped me soo much, thanks a lot!

[@Ash-bc8vw]

Thanks for this simple Introduction. Loved the video, you are a delight!

[@DrTrefor]

Glad you enjoyed!

[@gardenmenuuu]

Was waiting for this thanks

[@rowena164]

thanks for the video!

[@johnjobs3027]

It would be great if you talk a little bit about commonly known as the smartest man in history , John von Neumann. The father of Game theory and many other fields.

[@johnjobs3027]

In the game of sushi vs Thai, both players have symmetric payoffs which leads to a deadlock, unless they each eat alone at their favorite restaurant.🙂

[@flametech179]

That's amazing it was very helpful.

[@DrTrefor]

Glad you think so!

[@PradeepEli]

Nice shirt

[@DrTrefor]

ha, thank you!

[@johnjobs3027]

Thank you Dr for spreading the joy of mathematics . In regards to Game Theory , I was wondering if you could kindly recommend a textbook assigned to a 1st course in Game theory taken at a university.

[@DrTrefor]

I actually don’t have a great suggestion as game theory texts are all over the place and sort of depends whether one wants proofs/rigour or more an economics flavor etc

[@pranshkhubchandani8102]

Awesome stuff, can you please tell approximately how many videos would be there for this series

[@DrTrefor]

Current plan is for about 10, and then we will see where we are at

[@emilwang8818]

This guy is carrying my math LOL.

[@tahmidshahriyar3396]

Sir, i have some problem in Frobenius method when the inditial roots differ by an integer. Why the method is different from when the roots differ by a non-integer? Thanks in advance.

[@Bunnokazooie]

Chicken is my favorite payoff matrix. I love to tell people who are studying economics / game theory.

[@lawlessa]

enjoyed this video :) do you have any recommendations for books on game theory for a maths undergrad student?

[@DrTrefor]

I quite like Essentials of Game Theory by Leyton-Brown and Shoham

[@StaticBlaster]

It depends on how often you go out to eat and when you should negotiate. If you go out to eat once a week, perhaps you and your wife can go to a Sushi restaurant on Sunday for example and the following Sunday you both can go to a Thai restaurant.

[@DrTrefor]

We actually will cover this idea of iterated games (i.e. the same game is played many times in a row) a little later on in the series.

[@StaticBlaster]

@@DrTrefor Sounds awesome. Great series. :)

[@PrzemyslawSliwinski]

Will it give any valuable insight into the game properties if, instead of using a pair of numbers, (x, y), in a payoff matrix, we use a single complex one, x + iy?

[@DrTrefor]

I don’t think so. In terms of encoding the information, those are the same. The question is whether the complex structure reflects something naturally where Cartesian points don’t (ie that you can multiply complex numbers). I don’t see why it would in this case

[@vedanthv4267]

Ossowm theory......😮✌🏻

[@aashsyed1277]

hahahaha i love your shirt

[@DrTrefor]

Thank you ha!

[@radwizard]

John Von Nuemann laid the foundations of this?

[@DrTrefor]

Indeed. There are several earlier contributions going back into even the 16th century I believe with people doing reasoning analogous to some of the reasoning in the foundations of game theory, but Nuemann definitely put it all together, and then Nash came in afterwards.

[@radwizard]

@@DrTrefor thank you for that info. He has been popping up in my studying lately. I thought I might have heard a mention of his involvement in economics in passing. I was taking a deep dive into to The Shannon Index, and his name popped up here also. Shannon Index is used in diversity for ecology, looks like Entropy. I was helping a Bio Grad student with some math. I didn't realize Von Neumann had a hand in this also. What a Titian. Thank you for you efforts. I'm guessing it takes real work to produce these. Your videos are amazing and enjoyable to watch.

[@dAntony1]

Be a hawk.

[@darthstarch]

Any chance you could create a playlist on mathematical modeling?

[@DrTrefor]

I still want to (and earlier suggested I would on this channel)....but....uh...things happened:D And now I"m not sure if it will happen in entirety. This game theory playlist is actually part of my typical course on modelling, so I think I'm going to release segments but not as an entire playlist, at least for now.

[@darthstarch]

@@DrTrefor Understood ;) Thank you for all the work you're putting in here, Dr. Bazett, as a math student I'm incredibly grateful.

[@depthmaths5399]

Sir, I want to learn Number system 🌟 please suggest "Number system" book🌟

[@ldgarius]

Start by volume 1 and follow by volume 2, then procede through the number system ad nauseam

[@ldgarius]

Courses -> plural noun -> you use "are", not "is" -> the end result is "there are so many more courses", not "there is". Aren't you from an english speaking country?