Show that the core relative to the coalitional structure b

Assignment Help Mathematics

Reference no: EM131333285

In this exercise, we show that given Theorem does not hold without the condition that the core is nonempty. Let (N; v) be a two-player coalitional game with payoff function

v(1) = v(2) = 0, v(1, 2) = 1,

and let B = {{1},{2}}.

(a) Show that the core relative to the coalitional structure B is empty.

(b) Find an imputation in X(B; v) that is in the bargaining set M(N; v;B).

Theorem:- If the core of the coalitional game (N; v) for a coalitional structure B is nonempty, then it is the set of all imputations in X(B; v) at which no player has an objection against another player in the same coalition in B.

Reference no: EM131333285

Questions Cloud

Explain what a learning organization is : Explain what a "learning organization" is. Describe at least three ways that an organization might "learn." Describe the benefits of an organization being a learning organization.

Type of compound is indicated in brackets : List all of the intermolecular forces that will be present in the following liquids, and CAPITALIZE (ALL CAPS) the the most dominant force for each liquid. The type of compound is indicated in brackets, and all numbers immediately following elemen..

Based on formal charge considerations : Based on formal charge considerations, which of the following would likely be the correct arrangement of atoms in nitrosyl chloride: ClNO or ClON?

Write market strategies for your new endeavor : Write Market Strategies for your new endeavor - non-alcoholic beverage

Show that the core relative to the coalitional structure b : Show that the core relative to the coalitional structure B is empty.- Find an imputation in X(B; v) that is in the bargaining set M(N; v;B).

Define the functional and matrix organization designs : Define each of the four designs listed above and then identify a real-world organization example of each. Compare the four types of organizational design in terms of: Structure and Strategies.

Conduct several searches using any of the databases : Conduct several searches using any of the databases in the Ashford University Library - Select at least five credible and scholarly, peer-reviewed sources from your library search that support the topics and arguments you plan to present in your F..

How you would redesign an existing organization to have high : Explain how you would redesign an existing organization to have higher performance. Explain how you would design a new organization to achieve high performance and learning.

Calculate the number of grams of calcium carbonate : Calculate the number of grams of calcium carbonate in the following solutions--you must show all work in detail to receive credit: (a) 25.0 mL of 0.997 M CaCO3, (b) 10.0 mL of 2.50 M CaCO3, (c) 525.0 mL of 0.501 M CaCO3, (d) 1.25 L of 3.42 M CaCO3

User Account

All Pages