Consider a three player cooperative game with transferable utility. The characteristic function is given by v({1})...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a three player cooperative game with transferable utility. The characteristic function is given by v({1}) = v({2}) = v({3}) = 0, v({1,2,3}) 1 and v({1,2}) = a, v({1,3}) = b, and v({2,3}) = c. = (i) Characterize the set of core allocations for a = 1/3, b= 1/2 and c = 1. (ii) Find the Shapley value of the game for a = = 1/3, b = 1/2 and c = 1. Consider a three player cooperative game with transferable utility. The characteristic function is given by v({1}) = v({2}) = v({3}) = 0, v({1,2,3}) 1 and v({1,2}) = a, v({1,3}) = b, and v({2,3}) = c. = (i) Characterize the set of core allocations for a = 1/3, b= 1/2 and c = 1. (ii) Find the Shapley value of the game for a = = 1/3, b = 1/2 and c = 1.
Expert Answer:
Answer rating: 100% (QA)
I To portray the arrangement of center distributions for the given helpful game we want to find designations that fulfill the center circumstances Thats what the center circumstances express 1 Product... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
Students also viewed these economics questions
-
A classic example in coalitional game theory is the three-person majority game, in which the allocation of $1 among three persons is decided by majority vote. Let N = {1, 2, 3}. The characteristic...
-
An alloy contains copper and zinc in the ratio of 4:3 and another contains copper and tin in the ratio of 9:5. If equal weights of the two are melted together to form a new alloy, find the weight of...
-
CASH 210 250 LAND 721 650 LIABILITY 498 450 OWNER,S EQUITY 1 250 550 What is the TOTAL ASSETS?
-
The General Auditors Office (GAO) of ABC jurisdiction issued a report on the XYZ Electric Cooperative, a large member-owned utility. This report reviewed the work of MNO Consulting. MNO found...
-
(a) For each of the numbers 2, 3, and 4, discover whether is continuous from the left, continuous from the right, or continuous at the number. (b) Sketch the graph of g. 2x- x 2 - x if 0 sI <2 if 2
-
The following conversions occur frequently in physics and are very useful. (a) Use I mi = 5280 ft and I h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object...
-
Suppose Bonzai Boards, Inc., had sales of \($180,000\) and sales returns of \($22,000.\) Cost of goods sold was \($110,000.\) How much gross profit did Bonzai Boards, Inc., report? a. ($48,000\) b....
-
The following information was drawn from the annual report of Sierra Home Builders (SHB). Required a. Compute the percentage of growth in net income from 2016 to 2017. Can stockholders expect a...
-
You are a manager at PopUp Company, who manufactures toaster ovens.Your company produces two types of toaster ovens: basic and deluxe.PopUp Company currently uses a traditional unit-based costing...
-
For the liquid storage system shown in Fig. E, it is desired to control liquid levels h1 and h2 by adjusting volumetric flow rates q1 and q2. Flow rate q6 is the major disturbance variable. The...
-
Describe the structure of present banking sector in sri lanka
-
Luthan Company uses a plantwide predetermined overhead rate of $23.40 per direct labor-hour. This predetermined rate is based on a cost formula that estimated $257,400 of total manufacturing overhead...
-
What are the distinctive features of cloud computing and what are the three (3) types of cloud services? include at least 2 academic sources, formats and must be cited in accordance with current APA...
-
Based on Newton s second law, if a force of 4 6 0 N is applied to a box of mass 1 2 kg . What is the acceleration of the box?
-
The audiology department at Randall Clinic offers many services to the clinic's patients. The three most common, along with cost and utilization data, are as follows: Service Basic Examination...
-
Quatro Company issues bonds dated January 1, 2021, with a par value of $790,000. The bonds' annual contract rate is 9%, and interest is paid semiannually on June 30 and December 31. The bonds mature...
-
Arundel Company disclosed the following information for its recent calendar year. Income Statement Data Revenues Expenses: Selected Year-End Balance Sheet Data Accounts receivable decrease Purchased...
-
Which should drive action planning more, strengths or weaknesses? That is, is it more important to build on your strengths or to reduce your weaknesses? Explain.
-
In end-of-chapter exercise 6.10. we analyzed cases where the interest rates for borrowing and saving are different. Part of the reason they might be different is because of government policy. A....
-
The economist Jagdish Bhagwati explained in one of his public lectures that international trade causes the wage for child labor to increase in developing countries. He then discussed informally that...
-
In Graph 9.4, we illustrated how you can derive the labor supply curve from a consumer model in which workers choose between leisure and consumption. A: In end-of-chapter exercise 3.1, you were asked...
-
Give three examples of matters that might be emphasized in an explanatory paragraph of the audit report.
-
Under what conditions should the phrase "with the foregoing explanation" be used in the opinion paragraph to refer to a matter emphasized in an explanatory paragraph?
-
What modification is made to an auditor's report if accounting principles are not applied consistently?
Study smarter with the SolutionInn App