Show that the Shapley value defined by (1) is linear.

Question:

Show that the Shapley value ϕ defined by (1) is linear.

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 11:48 AM

See More Questions

A player i is called a null player in a game (N, w) if he contributes nothing to any coalition, that is, if w(S {i}) = w(S) for every S N Verify that the Shapley value of a null player is zero,...
Verify that the Shapley value is a feasible allocation, that is, This condition is sometimes called Pareto optimality in the literature of game theory. ieN
Two players i and j are substitutes in a game (N, w) if their contributions to all coalitions are identical, that is, if W(S {i}) = w(S {j} for every S N \ {i, j} Verify that the Shapley value...
1. A man digs 3 cubic feet per minute. Express the digging rate in cubic meters per hour. = ( 0 . 3 0 5 f t A ) 0 . 3 4 B ) 2 . 3 4 C ) 3 6 . 2 D ) 1 6 7 . 4 E ) 6 4 0 0 2. The x -...
Examine the structure of the following experimental design. Determine which of the three designs presented in the chapter would be most likely to characterize this structure. Discuss the variables...
Why do you think public health has an obligation to autonomy? How can public health balance the need to take action with respect for human rights?
Costs associated with changing production levels. Excess equipment capacity, overtime, hiring, training, and layoff costs will all be higher if production fluctuates with demand? LO.1
Financial statement information about four different companies is as follows. Instructions (a) Determine the missing amounts. (b) Prepare the retained earnings statement for Stills Company. Assume...
Outback Outfitters sells recreational equipment. One of the company's products, a small camp stove, sells for $110 per unit. Variable expenses are $77 per stove, and fixed expenses associated with...
The supply of paper is described by the following equation: Qs = 5,000P where Qs is tons supplied per year and P is the price per ton. The demand is described by QD = 400,000 1,000P where QD is tons...
Every symmetric, nonnegative definite bilinear functional f satisfies the inequality (f (x, y))2 f (x, x)f (y, y) for every x, y X. A symmetric, positive definite bilinear functional on a linear...
For every x, y in an inner product space, |xT y| ||x|| ||y||
Describe the trade-offs involved when firms decide how to price their products. What are the costs and benefits of raising prices? How do interest rates affect the decision? How do leverage ratios...
Problem 228: The derivative is dz dt = = atb where a , and b =
Write a Python program which will take N names from the user. Create a dictionary from the N names that will hold First_name, Middle_name and Last_name in separate keys. The inputs will take N at...
2 Finding Poles and Zeros from a Bode Plot Consider the magnitude portion of the Bode plot in Figure 3. Based on the linear approxi- mation in red, find the transfer function G(s). 5 0 -5 10 -10 -15...
Indicate whether the following statements are "TRUE" or "FALSE" 1- Financial accounting is considered to be the backbone to top management. 2- Cost accounting identifies, summarizes and interprets...
Refer to case 3 shown above. Assume that Beta Division is now receiving an 3% price discount from the outside supplier. a. What is Alpha Division's lowest acceptable transfer price? b. What is Beta...
Choose and visit a restaurant, club, or hotel you feel is designed for one of the generations discussed in the book (e.g., baby boomers, Generation X, echo boomers). After doing some research on the...
On January 1, 2018, Khalid Ltd., which follows IAS 17, entered into an eight-year lease agreement for three dryers. Annual lease payments for the equipment are $28,500 at the beginning of each lease...
Consider the electric power consumption data in Exercise 12-6. (a) Test for significance of regression using a = 0.05. What is the P-value for this test? (b) Use the t-test to assess the contribution...
Consider the bearing wear data in Exercise 12-7 with no interaction. (a) Test for significance of regression using a = 0.05. What is the P-value for this test? What are your conclusions? (b) Compute...
Reconsider the bearing wear data from Exercises 12-7 and 12-20. (a) Refit the model with an interaction term. Test for significance of regression using a = 0.05. (b) Use the extra sum of squares...
Based on the regression output (below), would you purchase this actively managed fund with a fee of 45bps ? Answer yes or no and one sentence to explain why.
What is the yield to maturity on a 10-year, 9% annual coupon, $1,000 par value bond that sells for $967.00? That sells for $1,206.10?
1)Prepare the journal entry to record Tamas Companys issuance of 6,500 shares of $100 par value, 9% cumulative preferred stock for $105 cash per share. 2. Assuming the facts in part 1, if Tamas...

Show that the Shapley value defined by (1) is linear.

Question:

Step by Step Answer:

Assume and ...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions