How to Solve A Stackelberg Oligopoly Problem

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This video solves a standard Stackelberg problem that is encountered when studying oligopoly models. You may also be interested in my other economics videos, especially those on Cournot and Bertrand competition.

Пікірлер: 125

  • @michaelcruzjr
    @michaelcruzjr6 жыл бұрын

    You explained this better than my book and college professor could do in weeks. God bless you

  • @DanTheStripe
    @DanTheStripe3 жыл бұрын

    My online microeconomics lecturer is abysmal. These videos are helping me understand stuff massively. Thank you!

  • @jonathangoodrich3177
    @jonathangoodrich31777 жыл бұрын

    This has been more helpful than a 2 hour lecture on this topic! Thanks so much

  • @MH-lz7zy
    @MH-lz7zy9 жыл бұрын

    More than i would ever learn in class.. Thanks so much!

  • @Ravenuscze

    @Ravenuscze

    8 жыл бұрын

    +lol m2k explained in 5mins :D

  • @JuztoKik
    @JuztoKik8 жыл бұрын

    I just wanted to say thank you so much, this was way more useful than the stuff in class very easy and straight forward!

  • @keithsankar1229
    @keithsankar12298 жыл бұрын

    THANK YOU!! I have my exam tomorrow, and I can without a doubt say, I learnt more from your channel in 30 mins than I ever did during any two hour lecture.

  • @R_to_the_L
    @R_to_the_L3 жыл бұрын

    My term 1 MBA exams are tomorrow and here I am, thankyou so much

  • @Staphylezz
    @Staphylezz6 жыл бұрын

    Thank you so much! This was very helpful before my final exam.

  • @FlyingMonkey085
    @FlyingMonkey0856 жыл бұрын

    Great, accessible explanation! Helped with last minute studying for my intermediate microeconomics final. Many thanks!

  • @aeconomm
    @aeconomm9 жыл бұрын

    God bless you and your children :D 4:35 "nananana..."

  • @stijnservaes
    @stijnservaes8 жыл бұрын

    Thanks man. I'm currently in my first semester at university and these simple examples makes studying for exams so easy

  • @alitanman26

    @alitanman26

    Жыл бұрын

    How has life been after graduation?

  • @XinShu.

    @XinShu.

    6 ай бұрын

    time flies by so quickly , i am also in the first semester in university ,wish 3 years later i can give you my life answer ,but surely , i think i will head to the master degree...@@alitanman26

  • @sekehfootstats6818
    @sekehfootstats68184 жыл бұрын

    Thank you for the understandable tutorials. Both the cournot and this one

  • @erisos2
    @erisos27 жыл бұрын

    Very easy to understand, thank you for the explanation.

  • @user-pq4ff1on5s
    @user-pq4ff1on5s2 ай бұрын

    11 years later, still helpful!

  • @OG-ke5xi
    @OG-ke5xi11 жыл бұрын

    Thank you so much! Only decent video on Stackelberg I found so far.

  • @mistry0203
    @mistry02036 жыл бұрын

    but what if the firms face 2 different MC, the example im trying to complete changes the MC of one firm from when the reaction functions were worked out.

  • @jree93
    @jree939 жыл бұрын

    how did you get from p=70-1/2 q1 to MR1=70-q1?

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    9 жыл бұрын

    Firm 1's inverse demand is P = 70 - 0.5q1. Firm 1's total revenue, TR = P x q1, TR = (70 - 0.5q1)q1 Multiply through by q1 gives TR = 70q1 -0.5q1^2 Take derivative to get: MR = dTR/dq1 = 70 - 2(0.5)q1 = 70 - q1. A short-cut method: given an inverse demand given by P = a - bq, the marginal revenue equation will be the same as the price equation but with a slope that is twice as steep: MR = a - 2bq.

  • @wontkillbe

    @wontkillbe

    9 жыл бұрын

    1sportingclays THIS IS WHAT I NEEDED TO SEE!!! THANK YOU!!

  • @PrashantKumar-vz1ke

    @PrashantKumar-vz1ke

    6 жыл бұрын

    1sportingclays thanks

  • @figerzysims2641

    @figerzysims2641

    6 жыл бұрын

    thanks so much!

  • @Mr99lior

    @Mr99lior

    5 жыл бұрын

    Dealing with Monopoly (The first mover works as a monopoly at that stage), in that shape of equation, u simply multiply *2 the q coefficient.

  • @tomaco0341
    @tomaco0341 Жыл бұрын

    hi there when you differenciate p to mr in respect to q1 would the 70 not disappear and the mr=-q1???

  • @argunaman7845
    @argunaman78457 жыл бұрын

    this helped a lot with a trivial matter thanks a lot sir

  • @behnantelli5692
    @behnantelli56924 жыл бұрын

    This is very benefit a video. Thank you so much 🙏🙏🙏

  • @tomvoss3373
    @tomvoss33732 жыл бұрын

    What I needed :)) Easy to understand and brief ! Thank you !

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    2 жыл бұрын

    You are welcome!

  • @SteezyJam
    @SteezyJam9 жыл бұрын

    How do you calculate the profit? I mean I know its the Stackelberg price times the Monopoly quantity subtracted by the cost etc. But why is the monopoly quantity used not the Stackelberg quantity to get profit?

  • @ronnakronkitipacharadechat1710
    @ronnakronkitipacharadechat17106 жыл бұрын

    thanks for this video it helped me pass the test

  • @simulationworld5872
    @simulationworld58726 жыл бұрын

    why the reaction function value is not included while calculating marginal cost, since q2 is also a function of q1 therefore Marginal cost should be 20. Please reply ASAP thanks

  • @michaobara1237
    @michaobara12373 жыл бұрын

    Thank you, it help me a lot, I passed my exam with 89% :)

  • @mandingoduagi5283
    @mandingoduagi52838 жыл бұрын

    Thank you, very useful content!

  • @haninadhirahazman5122
    @haninadhirahazman51225 жыл бұрын

    thank you!! i managed to answer my quiz problems~

  • @ezaldeenabbas3246
    @ezaldeenabbas32467 жыл бұрын

    Thanks a lot, this was helpful !!

  • @konstantinosapostolou6783
    @konstantinosapostolou67833 жыл бұрын

    thank you so much!!!!!!!!!!!!!it is an exceptional video! i have nothing understood through my university's lessons, Yours sincerely Konstantinos S.Apostolopoulos/DMS,MBA NTU

  • @xyttra
    @xyttra9 жыл бұрын

    OMG what did you do to the kid between pause ^^ I laughed there ^^ Great video though thanks.

  • @timothyperego8129
    @timothyperego81296 жыл бұрын

    your explanation is amazing...on point...thanks hey

  • @Yumi-wi5ix
    @Yumi-wi5ix7 жыл бұрын

    𝑞1 = 720 − 2𝑝1 + 𝑝2 𝑞2 = 720 − 2𝑝2 + 𝑝1 Compute each firm’s output at the subgame perfect equilibrium of the sequential game when firm 1 is the leader, and the firms compete on quantity. How to do this question please???

  • @kumarrohit2222
    @kumarrohit22226 жыл бұрын

    There are two firms whose market demand is :Q=3200-1600P. Their costs are - Firm1 :TC1 =0.25q1 and Firm2 : TC2 =0.5q2 . Firm1 is leader whike firm2 is follower , solve for stackleberg output levels ,market price and profit levels of the firms. I'm not able to get the answer, please help me out .

  • @saurabhdas4291
    @saurabhdas42916 жыл бұрын

    I have a problem like this.where i need to find the Stackelberg market equilibrium. Market demand is Q=3200-1600p where Q=Q1+Q2 and the cost function of two firms 1(the leader) and 2 (the follower) are: TC1(Q1)= 0.25Q1 and TC2= 0.5Q2. Will you please solve this for me.I will be helpful to you..

  • @KelvinReiChannel
    @KelvinReiChannel8 жыл бұрын

    thank you it was extremely helpful

  • @Gerb0527
    @Gerb05275 жыл бұрын

    Thank you so much, it helps a lot.

  • @chuanlueng4515
    @chuanlueng45153 жыл бұрын

    Thank you very much!!! good explanation.

  • @eff700
    @eff7009 жыл бұрын

    thanks man, very useful

  • @RachelLin3
    @RachelLin34 жыл бұрын

    Good explanations :) Thank you

  • @Lirajek
    @Lirajek11 жыл бұрын

    thanks, great help for the upcoming test (:

  • @AlomgirkabirPolash
    @AlomgirkabirPolash8 жыл бұрын

    Very helpful. thanks 😊

  • @rochellebenjamin3061
    @rochellebenjamin30612 жыл бұрын

    Thanks, Understood clearly

  • @samihabintetariq9214
    @samihabintetariq9214 Жыл бұрын

    Thank you for saving me before my exam 🙏🙏

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    Жыл бұрын

    You are welcome!

  • @saharebrahimibajgani2776
    @saharebrahimibajgani27764 жыл бұрын

    Can you please make an example of multi leader followers game؟

  • @thapeloseliane1907
    @thapeloseliane19077 жыл бұрын

    thanks very much. That helped

  • @nelsonbassole5937
    @nelsonbassole59378 жыл бұрын

    Thanks Guys really helpfull.

  • @NatesLegend
    @NatesLegend9 жыл бұрын

    Thank you for the explanation. I am going through looking for easy videos for Cournot, Betrand, Sweezy and Stackleberg. Also, sounds like someone is reaching out from the beyond at the 2:10. The ghost of Stackleberg.

  • @maxwellankomah4893
    @maxwellankomah48934 ай бұрын

    Well appreciated but the TC was not specified either for Q1 or Q2 so differentiating it to get MC which is equal to c and equal to MR at equilibrium is not understandable to me. 🙏🙏

  • @lottieonice
    @lottieonice9 жыл бұрын

    If you have two cost functions (one for each firm), which one do you differentiate to get MC? Or do you combine them to get TC and then differentiate? Great video thanks!

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    9 жыл бұрын

    You will differentiate both cost functions to get the MC of firm 1 and MC of firm 2. You will set the MR of firm 1 (Stackelberg leader) equal to firm 1's MC. When deriving firm 2's reaction function (as shown in my Cournot video), you should set firm 2's MR equal to firm 2's MC.

  • @lewismichaelwaite7780
    @lewismichaelwaite77807 жыл бұрын

    Thank you so much!

  • @yogesramsurrun3366
    @yogesramsurrun33669 жыл бұрын

    Hello mate, Thank you for making me understand the stackelberg model. I have a small question, How did you derive MR = 70 - q1, from P=70-1/2q1? Please help, Many Thanks,

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    9 жыл бұрын

    Yoges Ramsurrun Let me explain it two ways. First, MR is exactly like the inverse demand equation but with a slope that is twice as steep. So if P = a- bQ, MR = a - 2bQ. In the video P = 70 - 0.5Q, so MR = 70 - 2(0.50)Q, which equals 70 - Q. Second, a firm's revenue (R) = price times quantity, or R = PQ. substitute the inverse demand equation into revenue equation to get: R = (70 - 0.5Q)Q = 70Q - 0.5Q^2. Take the derivative of the revenue function (R = 70Q - 0.5Q^2) to get MR, which gives MR = 70 - Q.

  • @yingyang9482

    @yingyang9482

    2 жыл бұрын

    @@EconomicsinManyLessons thank you

  • @AlamedanBreezyRep
    @AlamedanBreezyRep9 жыл бұрын

    I can't thank you enough for this, brilliantly articulated. My math is terrible but you have ensured I'll do good in my Micro exam....gana graduate :D

  • @BlackDeath12345

    @BlackDeath12345

    9 жыл бұрын

    AlamedanBreezyRep me too :) is ur major econ as well?

  • @lokwangcheung6724
    @lokwangcheung67249 жыл бұрын

    what if firm 2 has a fixed cost to enter the market? will it change its MC?

  • @rimshakhan1333

    @rimshakhan1333

    5 жыл бұрын

    Same question 🙋

  • @comic90210
    @comic902106 жыл бұрын

    Bless your soul.

  • @bukarorolo
    @bukarorolo8 жыл бұрын

    really good!!

  • @pauldupuis5724
    @pauldupuis57247 жыл бұрын

    THANK YOU!!!!!!

  • @MK-gb3rw
    @MK-gb3rw3 жыл бұрын

    Can you please explain how differentiating 70-1/2 Q1 makes 70-Q1

  • @tomaco0341

    @tomaco0341

    Жыл бұрын

    have you figured it out yet???\

  • @Lettaface
    @Lettaface4 жыл бұрын

    Shouldn't the reaction function from Firm 2 be substituted into the profit function of Firm 1, instead of the revenue function? Since the problem faced by Firm 1 is to optimise profit and not revenue.

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    4 жыл бұрын

    Firm 1 profit = TR (Q1, Q2) - TC (Q1). You can substitute into either the revenue or profit function...you get the same result either way because firm 2's output is only part of the revenue function of firm 1.

  • @zifengzhu680
    @zifengzhu6806 жыл бұрын

    How can you get Q2=30-1/2Q1 ?

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    6 жыл бұрын

    TR2 = (100 - q1 - q2)q2 = 100q2 - q1q2 - q2^2. The partial derivative of TR2 with respect to q2 is MR2 = 100 - q1 - 2q2. Set MR2 = MC2 to get 100- q1 -2q2 = 40. Solve for q2 = 30 -1/2q1.

  • @jmm09015
    @jmm0901510 жыл бұрын

    how did you get MR = 70 - q1 from P = 70 - (0.5)q1 ?

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    10 жыл бұрын

    Firm 1's inverse demand is P = 70 - 0.5q1. Firm 1's total revenue, TR = P x q1, TR = (70 - 0.5q1)q1 Multiply through by q1 gives TR = 70q1 -0.5q1^2 Take derivative to get: MR = dTR/dq1 = 70 - 2(0.5)q1 = 70 - q1.

  • @K3lalachibi
    @K3lalachibi9 жыл бұрын

    Top dad

  • @Non-disjunction
    @Non-disjunction6 жыл бұрын

    I wish my dad was an econ master

  • @scottagon
    @scottagon7 жыл бұрын

    A quick tip, If you have already solved the same equation for a Cournot equilibrium, the Stackleburg solution will just be, the (Cournot equilibrium)x(3/4) For Example q2=(Cournot EQ)*(3/4) q1=q2*2 In the context of this series... q2=20*(3/4) q2=15 q1=15*2 q1=30

  • @shyruti
    @shyruti4 жыл бұрын

    If MC of the firms are 0. Then is Cournot and Stackelberg solution the same? Mine is coming the same. Just confirming

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    4 жыл бұрын

    In Cournot, assuming each firm has the same marginal cost (or MC = 0 for both firms), each firm will produce the same quantity of output. In Stakelberg, with the same conditions, the Stackleberg leader will produce twice as much output as the other firm. Try this video: kzread.info/dash/bejne/n5ynlKWdXc6epdI.html

  • @oluwafemihassan5060
    @oluwafemihassan50604 жыл бұрын

    What if firm 2 is the mover and firm 1 is to follow? I suggest you make a video of a solution of such situation with different cost structures. Thank you

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    4 жыл бұрын

    Here's a video with different cost structures: kzread.info/dash/bejne/imGm1Lhygda7cdI.html

  • @matinajazmine
    @matinajazmine5 жыл бұрын

    Am getting P=0 and q2 as 0 is that normal?

  • @enverburtul1908

    @enverburtul1908

    5 жыл бұрын

    no

  • @rinkusah3938
    @rinkusah39385 жыл бұрын

    Thank u so muchhh

  • @claytillman2227
    @claytillman22278 жыл бұрын

    THANK YOU

  • @kapamagicman
    @kapamagicman10 жыл бұрын

    Nice one

  • @gabe75001
    @gabe75001 Жыл бұрын

    What's weird is my firm 2's output was also half of firm 1's output? Why is this happening

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    Жыл бұрын

    This is a feature of the model whenever both firms have the same marginal cost.

  • @gabe75001

    @gabe75001

    Жыл бұрын

    @@EconomicsinManyLessons Awesome, thanks for still replying!

  • @damilojuoyekan7571
    @damilojuoyekan75715 жыл бұрын

    Don't know if you can help with a simple "problem" on stackelberg.

  • @Sandeep-gt7rp
    @Sandeep-gt7rp4 жыл бұрын

    hello sir how did p=70-(1/2)q1 become MR=70-q1

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    4 жыл бұрын

    Please see my commemt to Jerry Yu's post. For a simple explanation, MR will equal the inverse demand with a slope that is twice as steep.

  • @shuqizhang5793
    @shuqizhang5793 Жыл бұрын

    you video saved my ass, thx

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    Жыл бұрын

    I am glad to hear that!

  • @aryansharma8813
    @aryansharma88135 жыл бұрын

    How MC got equal to 40 as we were differentiating it with respect to q1 but TC= 40Q not 40q1

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    5 жыл бұрын

    Total cost for firm 1 is TC = 49q1, the derivative is 40. Do a similar thing for firm 2, writing TC = 40q2.

  • @cesar9dit
    @cesar9dit10 жыл бұрын

    How did you made the partial derivation of IT=70P-1/2(q1)(P) shouldn´t it be Img=70+1/2(q1) ??? Thank you for your answer. (Great job by the way! Helps a lot!)

  • @cesar9dit

    @cesar9dit

    10 жыл бұрын

    sorry the Img should read as follows: Img=70-1/2(q1)

  • @cesar9dit

    @cesar9dit

    10 жыл бұрын

    symbolab.com/solver/partial-derivative-calculator/%5Cfrac%7Bd%7D%7Bdp%7D(70p-%5Cfrac%7B1%7D%7B2%7Dqp)

  • @LD-xo2cy

    @LD-xo2cy

    10 жыл бұрын

    César Alfonso García Valdés You multiply Pxq1 to get TR, then find the partial derivative of TR/q1. It should look like this instead. symbolab.com/solver/partial-derivative-calculator/%5Cfrac%7Bd%7D%7Bdq%7D(70q-%5Cfrac%7B1%7D%7B2%7Dqq). Cheers.

  • @ABlueberryMuffin
    @ABlueberryMuffin4 жыл бұрын

    the only problem now is I have fixed cost as well and I am not sure what to do with that :/

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    4 жыл бұрын

    The presence of fixed cost will not affect marginal cost. Fixed cost is just a constant, and the derivative of a constant is zero. If this video used fixed cost like TC = 40Q + 200, the answers would be unchanged.

  • @sleevynicks165
    @sleevynicks1659 жыл бұрын

    MY MAN!

  • @duferadashura6926
    @duferadashura69266 жыл бұрын

    INTRESTING

  • @duaali1169
    @duaali11695 жыл бұрын

    What is the basically difference between cournot and stackelberg?? It's actually seems same ..! Is it?

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    5 жыл бұрын

    Cournot firms set their output at the same time. In Stackelberg, one firm sets it output first, the other firm then responds by setting its output.

  • @duaali1169

    @duaali1169

    5 жыл бұрын

    @@EconomicsinManyLessons thank you so much sir..! Tomorrow is my exam..!and Am so much confused...!! But m clear in stackelberg and cournot..! For this ! Thanks to you 😊

  • @malekmk5676
    @malekmk56769 жыл бұрын

    i don't know how can i thanks you

  • @stalinov91
    @stalinov917 жыл бұрын

    You are a god. My savior.

  • @peacego624
    @peacego6242 жыл бұрын

    thanks

  • @EconomicsinManyLessons

    @EconomicsinManyLessons

    2 жыл бұрын

    You are welcome!

  • @simphiwesibongiseni375
    @simphiwesibongiseni3759 ай бұрын

    Great Stuff but MR1 = Q1

  • @taraxx2150
    @taraxx21506 жыл бұрын

    this must be absolute bs, if i calculate it the way u do with my example its totally wrong

  • @emmanuelniyodusenga758
    @emmanuelniyodusenga75823 күн бұрын

  • @stnaderviek
    @stnaderviek7 жыл бұрын

    Not bad!

  • @toniettaxoxo
    @toniettaxoxo9 жыл бұрын

    veeeeery nice ??

  • @toniettaxoxo
    @toniettaxoxo9 жыл бұрын

    verheerend nicke

  • @Haassan1
    @Haassan15 жыл бұрын

    Set speed to 1,25x. Jeez dis dude is slow.

  • @ggz7651
    @ggz76514 жыл бұрын

    THANK YOU