Derivation of Hicksian Demand Function from Utility Function

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  • Опубликовано: 27 окт 2024

Комментарии • 97

  • @HaroldWalden
    @HaroldWalden  3 года назад +8

    **Edit: Part (a) of this question should read the consumer's expenditure minimization problem**

  • @harmankhinda5743
    @harmankhinda5743 6 лет назад +36

    You explain econ so much better than everybody else on RUclips. Your work is neat and easy to read, and you also explain the meaning of the functions you derive. Best econ professor on YT by far. Keep up the good work sir!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +5

      Thank you so very very much, I really appreciate the positive feedback. If you are having any problems with your economics work please let me know, I am always looking for new video ideas.
      Also, please make sure you subscribe to the channel and let your friends know about me, as a smaller RUclipsr I need all the help I can get from viewers to get my videos in front of as many eyeballs as possible.
      Anyway, thanks again for the feedback ❤️

    • @harmankhinda5743
      @harmankhinda5743 6 лет назад +2

      Harold Walden Yup will do. I’ll tell my classmates about this channel.

    • @HaroldWalden
      @HaroldWalden  6 лет назад +3

      Thanks ❤️❤️

  • @jessp421
    @jessp421 6 лет назад +6

    I asked myself "I wonder where this bloke's from, he sounds like he could be from Perth", then I check the channel and there you go. Strange combo of skating and econs, but good video. Thanks from Germany!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      That is nuts! I don't know if Western Australia has a location specific accent but I am happy to be informed otherwise...
      I think the skateboarding is just something that I got addicted to as a kid, I am not very good but I still have heaps of fun going to the skatepark.
      Thanks for the positive feedback, I really appreciate it :)

    • @jessp421
      @jessp421 6 лет назад +2

      Yeah I didn't know until I moved away, now I notice it because it sounds like default to me. It's a much better accent than Queenslanders anyway.

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      Never has a truer word been spoken!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      Haha, that is pretty funny :)

  • @KillswitchLtd1
    @KillswitchLtd1 5 лет назад +3

    Thank you so much mate! My econ teacher is doing basically the same function some way more complicated way! You have given me faith that i will pass this course!

    • @HaroldWalden
      @HaroldWalden  5 лет назад +2

      Great! I hope it makes a little sense of what can be just a jumble of terms.

  • @Viancqa
    @Viancqa 6 лет назад +6

    The best Hicksian vs Marshallian video I've ever found! Glad everything's now cleared up before my exam. Thank you so much for this :)

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      Thank you for the kind words, I really appreciate it.
      :)

  • @nanaluna6018
    @nanaluna6018 3 года назад +1

    thank you so much for all your economics videos. you help(ed) me a lot. I sometimes feel like I learn a lot more from watching your videos than from listening to my professor. keep it up!

  • @awadheshsireducationpoint4220
    @awadheshsireducationpoint4220 3 года назад +1

    It was very helpful video regarding to hicksian demand in comparison to other you tube videos, thank you sir...

  • @davidturay4160
    @davidturay4160 6 лет назад +2

    Thanks for your professional lectures. I got it clear

    • @HaroldWalden
      @HaroldWalden  6 лет назад

      No worries, I am glad to be able to help people understand what is otherwise quite a confusing topic.

  • @KiraAnandita
    @KiraAnandita 6 лет назад +5

    Mate thank you so much for putting up this video. Very very helpful!!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      I am so stoked that you found what I have to say useful. The only reason I made this video is because I struggled so hard initially trying to wrap my head around the concept and I couldn't find anyone that had provided a suitable explanation of what you needed to do, step by step, to solve these kind of problems.
      If you need any other videos made, let me know please :)

  • @wanjadouglas3058
    @wanjadouglas3058 5 лет назад +1

    Thank you Harold. This was very helpful as I do Micro 1 for my PhD coursework.

    • @HaroldWalden
      @HaroldWalden  5 лет назад +1

      I am glad it was helpful, thanks for taking the time to leave a positive comment 🤓

  • @dianacarillo5423
    @dianacarillo5423 2 года назад +1

    the best video I've seen yet for this thank you

  • @Chigatera
    @Chigatera 3 года назад +1

    This has saved my life. Thank you.

    • @HaroldWalden
      @HaroldWalden  3 года назад +1

      Thanks for taking the time to watch and leave a positive comment, I really appreciate it 🤓

  • @douglasespindola5185
    @douglasespindola5185 6 лет назад +2

    Thank you! Greetings from Brazil!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +2

      No worries, I hope it was helpful :-)

  • @sardarnaeemhakimzai4237
    @sardarnaeemhakimzai4237 4 года назад +1

    Many many thanks sir.

  • @HaroldWalden
    @HaroldWalden  7 лет назад +7

    Another optimisation problem that kinda forms the basis of modern economics.

  • @tallyskalynkafeldens1753
    @tallyskalynkafeldens1753 5 лет назад +2

    You're the best! THANK YOU!

    • @HaroldWalden
      @HaroldWalden  5 лет назад +3

      Thanks for taking the time to leave some positive feedback. I really appreciate it.
      :)
      I am guessing that this video helped you out a little?

  • @izhanarif1542
    @izhanarif1542 5 лет назад +1

    the best of the best, hands down.

    • @HaroldWalden
      @HaroldWalden  5 лет назад +1

      Don’t know about that but thank you ☺️

  • @brianlu5651
    @brianlu5651 5 лет назад +1

    Thank you so much!
    -A confused first-year university student.

    • @HaroldWalden
      @HaroldWalden  5 лет назад +1

      This is a little beyond the scope of a first year university course.
      You watching these for your own interest???

    • @Sui_Generis0
      @Sui_Generis0 4 года назад +1

      @@HaroldWalden we had to do this in our first year micro course at cambridge. Came back again this year so this video was a good refresher

    • @HaroldWalden
      @HaroldWalden  4 года назад

      @@Sui_Generis0 It's good to hear that the video was helpful. Thanks for taking the time to leave a positive comment.

  • @jaredhee4194
    @jaredhee4194 4 года назад +1

    love seeing aussies on youtube - keep up the great work

    • @HaroldWalden
      @HaroldWalden  4 года назад

      Thanks for taking the time to leave a positive response mate, I really appreciate it.
      :)

  • @maggiewu9946
    @maggiewu9946 2 года назад +1

    very clear! thank you!

  • @ambroseezzat2703
    @ambroseezzat2703 5 лет назад +2

    Could you explain why you wrote the constraint in the negative form in the Lagrangian? Shouldn't it be U - Ubar in the brackets after lambda ?

    • @HaroldWalden
      @HaroldWalden  4 года назад +1

      It doesn't really matter if you add it or subtract the constraint. you get the same answer in the end anyway.

  • @Explorer982
    @Explorer982 4 года назад

    Great videos
    Do you have any plans to do some of the corresponding graphs?

  • @apoionuz
    @apoionuz 4 года назад +1

    I think the question you answered in part "a)" should be "Set up the expenditure minimization problem", isn't it?

    • @ice_bearie3818
      @ice_bearie3818 4 года назад +1

      agree

    • @HaroldWalden
      @HaroldWalden  3 года назад +1

      You're right, I did have a **Edit** in the video description but I'll pin a comment to the top as well.
      Good spot! Sometimes I go into autopilot when I make these videos and I had just made a corresponding Marshallian Demand tutorial so I must have accidentally cut and pasted a little too much... It happens to the best of us.
      Thanks for keeping me honest :)

  • @Kashyapkiduniya92
    @Kashyapkiduniya92 2 года назад

    Can we take this example as CES demand function?!

  • @ilknur53123
    @ilknur53123 7 лет назад +3

    thanks a lot for video! it is really helpful

    • @HaroldWalden
      @HaroldWalden  7 лет назад +1

      +ilk nur no worries, it is greats to hear that the videos are helping people. Do me a favour and recommend my channel to people that you think might find the videos useful please.
      Thanks :)

    • @ilknur53123
      @ilknur53123 7 лет назад +1

      Don't worry, i will :))

    • @HaroldWalden
      @HaroldWalden  6 лет назад +1

      Thanks xx

  • @tenzinnamdhak
    @tenzinnamdhak 7 лет назад +2

    Have u got a video on N-good cobb douglas utility function to find the marshallian demand function? Just curious!! thanks for the information anyways. I am grateful..

    • @HaroldWalden
      @HaroldWalden  7 лет назад +1

      +Tenzin Namdhak I'll put one together today :)

    • @HaroldWalden
      @HaroldWalden  7 лет назад +2

      ruclips.net/video/wUaAKPoXkEk/видео.html
      Hope it helps :)

  • @nxa74
    @nxa74 6 лет назад +4

    When setting up the lagrangian in this case, why is it + lambda instead of - lambda as in when deriving marshallian demand functions?

    • @HaroldWalden
      @HaroldWalden  6 лет назад +5

      It doesn’t matter whether you plus or minus lambda, it works out the same in the end.
      Check if you like.

    • @wanjadouglas3058
      @wanjadouglas3058 5 лет назад +1

      @@HaroldWalden True.

    • @muhammedabidemi2622
      @muhammedabidemi2622 4 года назад

      @@HaroldWalden it matter, reason behind it is that. The sign, your dependent variable in subjective function after equating it to zero determine the sign you will attributed to your lambda.

  • @GMan-um1pi
    @GMan-um1pi 7 лет назад +5

    You need to explain the step where you actually put together the Hicksian demand @12:30. I have no idea how you got what you did...

    • @GMan-um1pi
      @GMan-um1pi 7 лет назад +1

      After looking more closely I was able to tell what you did, but the expenditure function part got real confusing with you converting to brackets.

    • @HaroldWalden
      @HaroldWalden  7 лет назад +3

      @Grady thanks for the comment. You are right, my explanation for how I got to the Hicksian Demand functions for good one and good two is bloody hopeless. Basically all I have done is simplified the optimum levels good x1 and x2 that we find after satisfying the first order conditions of the initial Lagrange function and then inputing these values into the consumers utility function. Because in Hicksian demand the individuals total utility is fixed this allows us to find, in terms of a given utility and price (p1 and p2), the quantities of x1 and x2 that we need to buy to minimise the amount that we spend getting to this utility. After we find x1 and x2 in terms of a fixed utility and price we just substitute these individual demand functions back into the expenditure function to see what the individuals minimum total spend will be.
      I hope this helps.

    • @GMan-um1pi
      @GMan-um1pi 7 лет назад +1

      Thanks for the response - I've never been so confused going into a midterm but your video definitely helped!

    • @HaroldWalden
      @HaroldWalden  6 лет назад +1

      I hope the midterm went ok.

  • @naomihalubimba878
    @naomihalubimba878 4 года назад

    how do you derive a Hicksian and Marshellian demand function given a utility function that has 10 as the coeffient of X raised to the power 2

  • @BigLoaf
    @BigLoaf 2 года назад

    12:00 for x1, I got the same answer but to the power of 1/4. Please can you explain to me where the 1/3 came from?

    • @BigLoaf
      @BigLoaf 2 года назад

      nevermind I forgot the additional x1 to make x1^3

  • @oskarjonsson7010
    @oskarjonsson7010 3 года назад +1

    When you eliminate Landa by dividing dL/dx1 with dL/x2, what is the rule for doing so? Is it that we know the MRS = U1/U2?

  • @diamonddogsgaming7059
    @diamonddogsgaming7059 3 года назад +1

    I have a question here.. when we setup our Lagrange multiplier, I see in the derivation of the hicksian demand, lambda is being added to the constraint, where as in the derivation of the marshallian demand, the lambda is being subtracted from the constraint. However, in another video on derivation of both hicksian and marshallian demand functions such as this link ruclips.net/video/h4g5_-MRdkk/видео.html
    I see this guy adding lambda to the constraints in both hicksian and marshallian. so who is right? could you please clarify?

    • @HaroldWalden
      @HaroldWalden  3 года назад +1

      It doesn’t matter. If you do the calculations both ways and you’ll see.

  • @ansazaiba3795
    @ansazaiba3795 4 года назад

    Hello.sir how we find relationship between price and quantity by taking log?

  • @tajpeterson3111
    @tajpeterson3111 5 лет назад +1

    For other videos, can you please "x" & "y" instead of "x1" and "x2". It would cut down on some confusion and would minimize the use of "x". Just a suggestion. Thank you

    • @HaroldWalden
      @HaroldWalden  5 лет назад +2

      Good idea,. From what I remember, I was just using an example question that a viewer emailed me.
      You’re right though, it is way to crazy with the x1 and x2’s. Next time I’ll definitely have a think about how I can make it more simple to follow.
      I don’t want to leave people more confused after watching the video than they were prior to hitting play.
      Thanks for leaving some good feedback, I really appreciate it :)

    • @tajpeterson3111
      @tajpeterson3111 5 лет назад +1

      Harold Walden thank you sir. I have a Micro midterm tomorrow and your videos are helping me a lot.

    • @HaroldWalden
      @HaroldWalden  5 лет назад +1

      TaJ Peterson good luck mate, glad to hear the videos are having a positive impact 🤓

  • @Ferdinaand
    @Ferdinaand 7 лет назад +2

    thanks a bunch mate

    • @HaroldWalden
      @HaroldWalden  7 лет назад +2

      +Fern B it is always nice to hear that the videos are helping, thanks :)

  • @Theisrarhasan
    @Theisrarhasan 7 лет назад +2

    I did not understand the hicksian equation part.

    • @HaroldWalden
      @HaroldWalden  7 лет назад +1

      With Hicksian Demand, we are trying to minimise the cost of attaining a particular predetermined amount of utility --> We want to answer the question; given that we want to be this particular level of happiness, what is the cheapest way to get there?
      The Hicksian Demand equations come from satisfying the first order conditions of the Lagrangian expression.
      ie. dL/dx(1)=0, dL/dx(2)=0
      Following that you get the amount of a good you will demand given the price of both goods and the amount of the other good demanded.
      Then you substitute these equations into the utility function so you can get the utility in terms of the prices of both goods but only the quantity consumed of one good.
      Finally you rearrange the utility function to get the quantity consumed of a particular good in terms of the prices of both goods and the consumer's predetermined level of utility - which is what Hicksian demand is.
      I hope that helps :)

  • @luisschneider5617
    @luisschneider5617 2 года назад

    do you also do tutoring?

  • @Theisrarhasan
    @Theisrarhasan 6 лет назад +2

    How is it cubed?

    • @HaroldWalden
      @HaroldWalden  6 лет назад +1

      Which part are you referring to specifically?

    • @HaroldWalden
      @HaroldWalden  6 лет назад +1

      If you are referring to the cubed part at 9:47 then it is cubed because you have (x_2)^2 being multiplied by x_2 so it becomes (x_2)^3.
      I hope that helps :)

  • @dibissaejeta4447
    @dibissaejeta4447 Год назад

    Find MRS for the following u(x1,x2)=max(ፀx1, x2)

  • @tenzinnamdhak
    @tenzinnamdhak 7 лет назад +2

    What if there is three prices and X's?

    • @HaroldWalden
      @HaroldWalden  7 лет назад +1

      The method is exactly the same just with another First Order Constraint.
      Here is an okay example that I found: jrm-research.blogspot.com.au/2008/12/solving-three-good-utility-function.html
      If you would like me to do a video on a three good cost minimisation problem just let me know.
      Hope that helps :)

    • @tenzinnamdhak
      @tenzinnamdhak 7 лет назад +1

      well it's just the marshallian demand function and not the hicksian.

  • @23rt2308u24tkhg
    @23rt2308u24tkhg 4 года назад +2

    cool

  • @Boellemids
    @Boellemids 6 лет назад +2

    Thank you for this!

    • @carlawalden
      @carlawalden 5 лет назад +2

      Bjorn Utzon it was exactly the question I was after!

    • @HaroldWalden
      @HaroldWalden  4 года назад

      No problem mate, I am glad it helped!
      Thanks for taking the time to leave a positive comment, I really appreciate it :)