Question: 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

Consider a three player cooperative game with transferable utility. The characteristic function

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.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

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 full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related 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...

What are the two ways that firms can distribute cash to shareholders?

PP 5.11 Using the pairofDice class from PP 4.9, design and implement a class to play a game called Pig. In this game, the user competes against the computer. On each turn, the

=+34. Gross domestic product diagnostics revisited. In Exercise 33 we saw that there were several potential high influence points. After a researcher set aside those four countries, she refit the...

At December 31, 2012, before any year-end adjustments, the Accounts Receivable balance of Stenners Electronics is $180,000. The Allowance for Doubtful Accounts has an $11,600 credit balance. Stenners...

create a function in python that inserts a value into a list

Two graduate students are engaged to one another, and both are working on their master's theses-Michael in music education and Kristen in political science. Because both have incomes that are tied to...

When applying the standard of knowing the nature of the facilitys work, the auditor must take a number of considerations, including: a. all of the above b. In terms of location of production...

Gigabytes Computers, Inc, manufactures two styles of computer keyboards, the multimedia Keyboard and the Comfort Type keyboard. The company uses activity based costing to allocat overhead costs to...

Evelyn monitors the number of influenza infections reported in a city in a given week The recent numbers are shown in this table: Week Number of People 0 16 1 32 2 64 3 128 The reported infections...

Scenario: Generally, we have considered sexual harassment actions or verbal abuse of women to be done by men. Over the past several decades, the culture of society has evolved. The diversity of sex...

Global cities are performing a differentiated function within a global network of exchange and they play specific roles in specific networks. What are examples of such roles and networks? Taipei and...

Nomsa feels her low performance rating is unfair as she was not aware of all the concerns and deadlines. During which stage can Nomsa raise her dissatisfaction? a. Performance contract b. Performance...

Convert this C++ code below into assembly language: // Global variables short a = 5; short b = 6; short c = 7; short d = 8; short e; short f; short g; short h; // Code int main() { ++d; --c; b = a +...

The words without recourse on an indorsement means the indorser is: a. not liable for any problems associated with the instrument. b. not liable if the instrument is dishonored. c. liable personally...

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...

The human resources manager for a medium-sized business is interested in predicting the dollar value of medical expenditures filed by employees of her company for the year 2011. From her companys...

Identify the businesses in your community that might be expected to have sales that exhibit a seasonal component. Discuss.

The average college senior graduated this year with more than $19,000 in debt was the beginning sentence of a recent article in USA Today. The majority of students have loans that are not due until...