Question 2: Three players (A, B and C) play the Card Game. Each player has two cards. The three players have the following card values: Player (A): 5 and 7 Player (B): 4 and 2 Player (C): 8 and 1 Player A starts by putting one card then Player B puts one card then player C puts one card and the game is over. The score of player A (utility value for A) is computed by the following formula: Score(A) = card value(A) - card value(B) - card value(C). The score of player B (utility value for B) is computed by the following formula: Score (B) = card value(B) - card value(A) - card value(C). The score of player C (utility value for C) is computed by the following formula: Score(C) card value(C) - card value(A) - card value(B). a) Construct the corresponding Game Tree. Then find the utility values of all nodes. b) Which player will win the game? c) Show how can the losers make the winner lose the game. What do you note?

Question 2: Three players (A, B and C) play the Card Game. Each player has two cards. The three players have the following card values: Player (A): 5 and 7 Player (B): 4 and 2 Player (C): 8 and 1 Player A starts by putting one card then Player B puts one card then player C puts one card and the game is over. The score of player A (utility value for A) is computed by the following formula: Score(A) = card value(A) - card value(B) - card value(C). The score of player B (utility value for B) is computed by the following formula: Score (B) = card value(B) - card value(A) - card value(C). The score of player C (utility value for C) is computed by the following formula: Score(C) card value(C) - card value(A) - card value(B). a) Construct the corresponding Game Tree. Then find the utility values of all nodes. b) Which player will win the game? c) Show how can the losers make the winner lose the game. What do you note?

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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A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.

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