If f g F(X) are super modular, then f g is super modular f is super modular for every 0 Therefore the set of all super modular functions on a set X is a cone in F(X) ...

1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 Similarly ...

If f; g F(X) are super modular, then f g is super modular

Question:

If f; g ∊ F(X) are super modular, then
• f g ∊ is super modular
• αf is super modular for every α ≥ 0
Therefore the set of all super modular functions on a set X is a cone in F(X).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:38 AM

See More Questions

Every functional on a chain is super modular. The following properties are analogous to those for monotone functions (exercises 2.31 and 2.32).
If f and g are nonnegative definite, increasing, and super modular functional on X, then so is their product f g defined by (fg)(x) = f(x)g(x)
Let f be a functional on X Y where X and Y are chains. Show that f has increasing differences in (x, y) if and only if f is super modular on X Y.
Jeremiah Wedgewood, the CFO, is adamant that the company needs to move ahead with the new division. While Josey also thinks that creating a new division with a new product line is a good idea, she is...
Use the following data to test to determine whether there are any differences between treatment levels. Let a =.05. Treatment 4 200 198 207 213 211 214 211 206 210 209 212 214 213 215 210 215 217 216...
1. What is it that Holly Farms wants to accomplish in this case? 2. What is Holly Farms legal argument?
ACT Composite Scores Use the normal distribution in Exercise 14. (a) What percent of the ACT composite scores are less than 16? (b) Out of 1000 randomly selected ACT composite scores, about how many...
Cardio Care Inc. manufactures stationary bicycles and rowing machines. The products are produced in the Fabrication and Assembly production departments. In addition to production activities, several...
On January 2, Year 1, a motorcycle dealer sells a motorcycle with an extended warranty for two years beyond the manufacturer's two-year warranty and an agreement to service the vehicle for the first...
A 6 half-angle wedge creates the reflected shock system in Fig. P9.137. If Ma3 = 2.5, find (a) Ma1; and (b) The angle . 6 (2) (1) (3)
Prove that : X Y is always increasing if and only if every selection f is increasing.
If a firm produces many products, a straightforward generalization of the cost function c(w, y) measures the cost of producing the list or vector of outputs y when input prices are w. The production...
Chia Vang Company has a balance in its Accounts Payable control account of $8,250 on January 1, 2014. The subsidiary ledger contains three accounts: Tym Company, balance $3,000; Keyes Company,...
How does sexual assault compare to rape?
What legislative developments have affected a prosecutors ability to prove rape in court? Explain.
What is the mens rea of robbery?
What elements are necessary for a voluntary manslaughter conviction?
Define terrorism.
In each of the following compound interest equations with t representing the account term, determine the number of times the account is compounded per year and the interest rate percent. a. 2254 5...
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
Show that the probability density function fXY (x, y; X, Y, X, Y, p) of a bivariate normal distribution integrates to one. [Hint: Complete the square in the exponent and use the fact that the...
If X and Y have a bivariate normal distribution with joint probability density fXY (x, y; X, Y, X, Y, p), show that the marginal probability distribution of X is normal with mean X and standard...
If X and Y have a bivariate normal distribution with joint probability density fXY (x, y; X, Y, X, Y, p), show that the correlation between X and Y is p. [Hint: Complete the square in the exponent].
What strategies might you use to implement the personal change needed to support organizational change? What is the relevance of unity consciousness in organizational leadership, communications, and...
Recognizing the literature (and its limitations) for conveying policing organization, management, and change - what management/organizational changes are needed in policing today? Why? How do we set...
How do organizations effectively navigate the complexities of organizational change, integrating advanced change management methodologies to mitigate resistance and foster sustainable transformation?

If f; g F(X) are super modular, then f g is super modular

Question:

Step by Step Answer:

1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 Similarly ...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions