Imagine a couple that agreed to meet this evening, but cannot recall if they will be attending the opera or a football match (and the fact that they forgot is common knowledge). The husband would prefer to go to the foot ball game. The wife would rather go to the opera. Both would prefer to go to the same place rather than different ones. • Suppose they choose to go to the same activity, the one prefers such activity will receive utility of 3 and the other will receive utility of 1. • If they miss each other, they will not receive any utility. If they cannot communicate, where should they go? 1. Write down the payoff matrix of this game. 2. What is the stable optimal strategy for the couple? Hint: Stable strategy can be drawn from the definition of Nash equilibrium. This is not necessarily a zero-sum game, so you may NOT find the optimal strategy by solving LP.

Imagine a couple that agreed to meet this evening, but cannot recall if they will be attending the opera or a football match (and the fact that they forgot is common knowledge). The husband would prefer to go to the foot ball game. The wife would rather go to the opera. Both would prefer to go to the same place rather than different ones. • Suppose they choose to go to the same activity, the one prefers such activity will receive utility of 3 and the other will receive utility of 1. • If they miss each other, they will not receive any utility. If they cannot communicate, where should they go? 1. Write down the payoff matrix of this game. 2. What is the stable optimal strategy for the couple? Hint: Stable strategy can be drawn from the definition of Nash equilibrium. This is not necessarily a zero-sum game, so you may NOT find the optimal strategy by solving LP.

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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Concept explainers

Intelligent Machines

Machines that use artificial intelligence to learn from the environment and past experiences to perform better in the presence of variability and uncertainty are called intelligent machines. Intelligence develops according to environment and experience. It is human-like behavior. When the computer system or any programmed machine learns from the inputs and corresponding outputs, it can be called an intelligent machine.

Question

Imagine a couple that agreed to meet this evening, but cannot recall if they will be attending the opera or
a football match (and the fact that they forgot is common knowledge).
The husband would prefer to go to the football game. The wife would rather go to the opera. Both would
prefer to go to the same place rather than different ones.
• Suppose they choose to go to the same activity, the one prefers such activity will receive utility of 3
and the other will receive utility of 1.
• If they miss each other, they will not receive any utility.
If they cannot communicate, where should they go?
1. Write down the payoff matrix of this game.
2. What is the stable optimal strategy for the couple'?
Hint: Stable strategy can be drawn from the definition of Nash equilibrium. This is not necessarily a
zero-sum game, so you may NOT find the optimal strategy by solving LP.

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