The market demand is Q=120-P, there are two firms on the market
that engage in Stackelber...
The market demand is Q=120-P, there are two firms on the market
that engage in Stackelber competition. Both firms have MC=0 and
FC=0. How much more profit does Stackelber leader made compared to
Cournot?
Consider a market with two firms, facing the demand function: p
= 120 – Q. Firms are producing their output at constant
MC=AC=20.
If the firms are playing this game repetitively for infinite
number of times, find the discount factor that will enable
cooperation given the firms are playing grim trigger strategy.
Assume that two firms are in a Cournot oligopoly market. Market
demand is P=120 - Q where Q isthe aggregate output in the market
and P is the price. Firm 1 has the cost function
TC(Q1)=30 + 10Q1 and Firm 2 has the cost
function TC(Q2)=15 + 20Q2.
a) Write down the
Profit function of Firm 1:
Profit function of Firm 2:
b) Using the profit functions in part (a), obtain the reaction
function of Firm 1 to Firm 2....
In an industry where demand is Q = 120 – P and two identical
firms have MC = AC = 30 find the Cournot and the Stackelberg
equilibriums and compare the corresponding market outcomes. Do
consumers have a preference for one market structure over the
other?
Two firms compete in a market with inverse demand P(Q) = a − Q,
where the aggregate quantity is Q = q1 + q2. The profit of firm i ∈
{1, 2} is πi(q1, q2) = P(Q)qi − cqi , where c is the constant
marginal cost, with a > c > 0. The timing of the game is: (1)
firm 1 chooses its quantity q1 ≥ 0; (2) firm 2 observes q1 and then
chooses its quantity q2 ≥...
The market demand curve is given by
p = 100 - Q
Two firms, A and B, are competing in the Cournot fashion. Both
firms have the constant marginal cost of 70. Suppose firm A
receives a new innovation which reduces its marginal cost to c.
Find the cutoff value of c which makes this innovation
"drastic".
Consider an oligopolist market with demand: Q = 18 – P. There
are two firms A and B. The cost function of each firm is given by
C(q) = 8 + 6q. The firms compete by simultaneously choosing
quantities.
a. Write down firm A’s profit function and derive firm A’s
reaction function.
b. Plot the reaction functions of both firms in a diagram.
c. What is the optimal quantity produced by firm A and firm
B?
d. Now suppose firm...
The market demand curve for mineral water is P=15-Q. Suppose
that there are two firms that produce mineral water, each with a
constant marginal cost of 3 dollars per unit. Suppose that both
firms make their production decisions simultaneously. How much each
firm should produce to maximize its profit? Calculate the market
price.
The quantity produced by firm 1 is denoted by Q1
The quantity produced by firm 2 is denoted by Q2.
The total quantity produced in the market...
Two firms set prices in a market with demand curve Q = 6 − p,
where p is the lower of the two prices. If firm 1 is the lower
priced firm, then it is firm 1 that meets all of the demand;
conversely, the same applies to firm 2 if it is the lower priced
firm. For example, if firms 1 and 2 post prices equal to 2 and 4
dollars, respectively, then firm 1–as the lower priced firm–meets...
Two firms set prices in a market with demand curve Q = 6 − p,
where p is the lower of the two prices. If firm 1 is the lower
priced firm, then it is firm 1 that meets all of the demand;
conversely, the same applies to firm 2 if it is the lower priced
firm. For example, if firms 1 and 2 post prices equal to 2 and 4
dollars, respectively, then firm 1–as the lower priced firm–meets...
There are N symmetric firms in the industry, facing market
demand
Q (p) = 250-p
Firms have a constant marginal cost of production of c = 10, and
they compete in prices.
a) What are the Bertrand equilibrium price, output levels, and
profits?
b) Suppose that the firms want to sustain the monopoly price using
grim trigger strategies. Let each firm
produce a share of 1/N of the total demand under collusion.
Calculate the critical discount factor as a function...