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Chothuevanphongsaigon - Môi trường tin tức bất động sản hàng đầu
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Game Theory 101 (#55): Discount Factors

admin by admin
July 11, 2020
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gametheory101.com/courses/game-theory-101/

We need to explore infinite horizon games. However, if you add up an infinite string of a positive payoff, they all equal infinity regardless of the base value. Discount factors rescue us. Recognizing that consumption today is better than consumption tomorrow and the possibility that an interaction might not continue due to unforeseen circumstances, we use the discount factor to make tomorrow’s payoffs smaller than today’s.

Although we still end up with an infinite string of payoffs, they form something known as a geometric series. In the next lecture, we will see how geometric series have a clean closed-form solution that avoids the infinity problem.

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Comments 18

  1. OrkTv says:
    2 years ago

    3:00 This is reminiscent of Pascal's wager. By the same reasoning, we can't be sure that we are visited by the mafia today and lose our money, in which case having the money tomorrow would be better. But I get the point that you're making. One question: how does the discount factor relate to the concept of positive affine transformations? A discount factor is very "numerical"; it doesn't seem in any way a product of our preference ordering.

    Reply
  2. Klaire Hoang says:
    2 years ago

    It's like every time a question pops up in my mind, you had already anticipated it and explained it so well in your video. I'm happier watching your video than some random Netflix show, wow the delicacy

    Reply
  3. Raikhan Amir says:
    2 years ago

    delta? are you kidding me? it is sigma. but thanks.. was helpful =)

    Reply
  4. N says:
    2 years ago

    You are amazing! Could not find any explanation of what a discount factor is in the German web… Thank you so much!

    Reply
  5. Huixtocihuatl says:
    2 years ago

    Can someone explain to me why he puts an exponent to delta? Don't you simply subtract delta from Delta when you switch period? Let's say Delta is 0,02, then 0,04 then 0,,06 because you add Delta from period to period. This is why I don't understand the exponent over the delta.

    Reply
  6. Huixtocihuatl says:
    2 years ago

    Came from Martin Skreli's video on finance lesson 2 https://www.youtube.com/watch?v=6rgGgCkEokU. When I saw that the discount rate was actually a limit to infinity I was so astonished! The day after, I found this video and it's amazing.

    Reply
  7. Posei77 says:
    2 years ago

    Thanks William Spaniel this has saved me

    Reply
  8. Darth Danksaber says:
    2 years ago

    You have a handsome voice & your oral chakra is creating healing orgone-ki in my biceps, thank you

    Reply
  9. Rafael Gonçalves says:
    2 years ago

    Just came from coursera. You made it way simpler to understand! Thanks 😀

    Reply
  10. Michael Esplin says:
    2 years ago

    Why not a limit of some average?

    Reply
  11. huynhtho dothi says:
    2 years ago

    very helpful, thanks a lot :')

    Reply
  12. Kirk Breiner says:
    2 years ago

    Wish my professor taught this well!!! Haha wait you are my professor!!

    Reply
  13. Hisham Ragheb says:
    2 years ago

    You explained the discount factor very rationally. Great work

    Reply
  14. Jose Lalo Guzman says:
    2 years ago

    bro you are such a crack. im from mexico and you are saving me during finals.
    please keep doing this.

    Reply
  15. Luka Dacic says:
    2 years ago

    Wish my professor had a fraction of your teaching skills.
    Thank you.

    Reply
  16. Gambiteer says:
    2 years ago

    Very helpful!

    Reply
  17. markd315 says:
    2 years ago

    So the irony I've noticed with these games is that if Yahweh or some other god descended and announced the date of the end of the world, he would break so many Prisoner's dilemma and Stag hunt agreements, like peace treaties and free trade agreements that he may be creating it by doing so.

    Reply
  18. Sun God Moth says:
    2 years ago

    So basically in MathJax it's:
    $sum_{i=0}^infty 3(delta^i)$
    And in python:
    k = 1
    j = 1
    delta = input('Enter a discount value.n')
    while k == 1:
    print 3*(delta**j)
    j += 1

    Reply

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