5. Consider the following three player game where the characteristic function is given by: v({1})=v({2})=v({3})=v({1,2})=0, v({1,3})=v({2,3})=v({1,2,3})=1, and assume that v({Ø}) = 0. a. What set of allocations lie in the core? Justify your answer. b. Compute the Shapley value for this game. Show all your work. c. Does the Shapley value lie in the core? Discuss why this is an important consideration.

5. Consider the following three player game where the characteristic function is given by: v({1})=v({2})=v({3})=v({1,2})=0, v({1,3})=v({2,3})=v({1,2,3})=1, and assume that v({Ø}) = 0. a. What set of allocations lie in the core? Justify your answer. b. Compute the Shapley value for this game. Show all your work. c. Does the Shapley value lie in the core? Discuss why this is an important consideration.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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