competitive equilibrium

8. Halloween is an old American tradition. Kids go out dressed in costume and neighbors give them candy when they come to the door. Spike and Cinderella are brother and sister. After a long night collecting candy, they sit down as examine what they have. Spike finds that he has 40 candy bars and 20 packs of gum. His sister finds she has 30 candy bars and 40 packs of gum. Spike likes candy bars exactly twice as much as gum and would always be willing to trade two packs of gum for one candy bar. Cinderella, on the other hand, likes gum exactly twice as much as candy bars and would always be willing to trade two candy bars for one pack of gum. 

a. Illustrate this situation in an Edgeworth box. Let Spike’s origin be in the lower left, and Cinderella’s be in the upper right hand corner. Put candy bars on the horizontal axis and gum on the vertical. 

b. Now draw in indifference curves for the two agents that reflect the description given above. Indicate the endowment point, and the contract curve. Illustrate a competitive equilibrium. Is there more than one competitive equilibrium? 

#10. Ken McSubstitute and Ron O’Complement were flying to a fast food festival in Fiji when an unexpected storm forced their plane to ditch in the middle of the Pacific. Miraculously, they are washed up on a desert island. Ken finds that he has only 5 slightly wet hamburgers and 15 orders of fries in his pockets. Ron discovers he has 15 hamburgers and 5 orders of fries. Ken only cares about how much he gets to eat. His utility function is: Us(H,F) = H+F. On the other hand, Ron believes that it is uncivilized to eat hamburgers without french fries or french fries without hamburgers. His utility function is: Uc(H,F) = min(H,F). 

a. In an Edgeworth box, show the endowment point, the Pareto Opimal Allocations, and the competitive equilibrium 

b. Is the competitive equilibrium Pareto Optimal? 

   Related Questions in Mathematics

  • Q : The mean of the sampling distribution

    1. Caterer determines that 87% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000 taken. The 144 are asked to sample the food. If P-hat is the proportion saying that the food is delicious, what is the mean of the sampling distribution p-hat?<

  • Q : What is limit x tends to 0 log(1+x)/x

    What is limit x tends to 0  log(1+x)/x to the base a?

  • Q : Theorem-G satis es the right and left

    Let G be a group.

    (i) G satis es the right and left cancellation laws; that is, if a; b; x ≡ G, then ax = bx and xa = xb each imply that a = b.

    (ii) If g ≡ G, then (g-1)

  • Q : What is Non-Logical Vocabulary

    Non-Logical Vocabulary: 1. Predicates, called also relation symbols, each with its associated arity. For our
    needs, we may assume that the number of predicates is finite. But this is not essential. We can have an infinite list of predicates, P

  • Q : Problem on inverse demand curves In

    In differentiated-goods duopoly business, with inverse demand curves:

    P1 = 10 – 5Q1 – 2Q2
    P2 = 10 – 5Q2 – 2Q1

    and per unit costs for each and every firm equal to 1.<

  • Q : Pig Game Using the PairOfDice class

    Using the PairOfDice class design and implement a class to play a game called Pig. In this game the user competes against the computer. On each turn the player rolls a pair of dice and adds up his or her points. Whoever reaches 100 points first, wins. If a player rolls a 1, he or she loses all point

  • Q : Problem on mass balance law Using the

    Using the mass balance law approach, write down a set of word equations to model the transport of lead concentration.

    A) Draw a compartmental model to represent  the diffusion of lead through the lungs and the bloodstream.

  • Q : Formal logic It's a problem set, they

    It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work

  • Q : Research Areas in Medical Mathematical

    Some Research Areas in Medical Mathematical Modelling:

    1. Modeling and numerical simulations of the nanometric aerosols in the lower portion of the bronchial tree.

    2. Multiscale mathematical modeling of

  • Q : Statistics math Detailed explanation of

    Detailed explanation of requirements for Part C-1 The assignment states the following requirement for Part 1, which is due at the end of Week 4: “Choose a topic from your field of study. Keep in mind you will need to collect at least [sic] 3- points of data for this project. Construct the sheet y