Game Theory 101 (#64): Bayesian Nash Equilibrium

In games of incomplete information, a BNE is a set of strategies, one for each type of player, such that no type has incentive to change his or her strategy given the beliefs about the types and what the other types are doing. Essentially, we are generalizing Nash equilibrium to situations where there are multiple types and uncertainty about which one is actually playing the game.

[kingthanos]

This is very clear and straightforward explanation. Thank you sir!
It's amazing what you can do in 10 minutes!

Sincerely,
A struggling uni student

[CHURCHISAWESUM]

These videos got me through college and got me genuinely interested in game theory, I still am today

[mohemmedansari]

Whole set of Game Theory 101 is amazing. This effort takes the learning to a new level.

For this lecture I do have a suggestion. It took some time to figure out - as notation used all along for Player 1 and Player 2 in all other lectures was flipped for this lesson. North side player has been taken as Player 1 here which was not the case in all other lessons.

[njnj]

Your videos really helped me to learn faster. I had been following coursera game theory lectures, I found your video crisp and clear. It is easy to understand.

[leonsisuin]

thanks i really appreciate.... until i came across this channel i was considering my so called "game theory teacher" a real

[kevinshen]

Am currently preparing for a Game Theory final and this video might have saved my grade. Thank you for the clear and concise explanation!

[eliecerzbaez]

In 6:48 youd rather say player 1 instead of 2. Anyway, great video!

[MsNatalie]

great lessons, you just saved my grade. thanks !!

[_leo]

Thanks a lot. Very clear and understandable

[voicesclipsfordiary]

Thank you, Sir! You're a lifesaver.

[tilmannhogrefe]

Awesome! Thanks for the effort. That really helped!

[monsegonzalez]

If we have mixed strategies, how can we found the BNE?

[alexcerny]

Thanks for simplifying that form of Nash Equilibrium that my lecture's ridiculous notation can't explain.

[djbarraz]

how do you get up = 1/2 and RL = 5/8 at the end??

[zeroformsora]

If I wanted to list all the possible outcomes of this type of game, how would you go about doing that?

[boulbebamarzougui]

You are the best
Thank you very much !!!!

[albertinejunedin]

Hi, just a question: if player two has only one type, how come she has different payoffs in the two matrices?

[pratyushamrit]

in case of incomplete information, do I know what has happened until now?

[audrey]

Just a question : You told us in the previous video that BNE is only used with incomplete information, that is to say if we don't know the payoffs of the other player. But here : we know all the payoffs depending to the type of player. Is it normal? Because then, in a sense, we know the payoffs so it is not "incomplete".

[njnj]

I am looking to simulate driver's simultaneous game using Bayesian nash equilibrium. I am assuming 4 types of drivers (cautious, normal, aggressive, very Aggressive) and 2 player can be of either type and when 2 drivers meet on road traffic scenario, they may take 3 actions (accelerate, brake or maintain speed). There can be 16 possible combination of players, each combination will further 3*3 gaming matrix. It is becoming complex to define model. Could you please suggest.