A Short Introduction of Game Theory, Slides of Game Theory

Download A Short Introduction of Game Theory and more Slides Game Theory in PDF only on Docsity!

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

A Short Introduction to Game Theory

Heiko Hotz

July 13, 2006

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Table of Contents

Introduction

Definitions

Games

Evolutionary Game Theory

Applications

Outlook

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Table of Contents

Introduction

Definitions

Games

Evolutionary Game Theory

Applications

Outlook

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Table of Contents

Introduction

Definitions

Games

Evolutionary Game Theory

Applications

Outlook

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Table of Contents

Introduction

Definitions

Games

Evolutionary Game Theory

Applications

Outlook

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Introduction

Game Theory - What is it?

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - What is it?

Generally, game theory investigates conflict situations, the

interaction between the agents and their decisions.

A game in the sense of game theory is given by a (mostly

finite) number of players, who interact according to given

rules.

The subject of game theory are situations, where the result for

a player does not only depend on his own decisions, but also

on the behaviour of the other players.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - What is it?

Generally, game theory investigates conflict situations, the

interaction between the agents and their decisions.

A game in the sense of game theory is given by a (mostly

finite) number of players, who interact according to given

rules.

The subject of game theory are situations, where the result for

a player does not only depend on his own decisions, but also

on the behaviour of the other players.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - What is it?

Figure: John

von Neumann

Game theory has its historical origin in 1928.

By analysing parlour games, John von

Neumann realised very quickly the

practicability of his approaches for

the analysis of economic problems.

In his book Theory of Games and

Economic Behavior, which he wrote together

with Oskar Morgenstern in 1944, he already applied his

mathematical theory to economic applications.

The publication of this book is generally seen as the initial

point of modern game theory.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - What is it?

Figure: John

von Neumann

Game theory has its historical origin in 1928.

By analysing parlour games, John von

Neumann realised very quickly the

practicability of his approaches for

the analysis of economic problems.

In his book Theory of Games and

Economic Behavior, which he wrote together

with Oskar Morgenstern in 1944, he already applied his

mathematical theory to economic applications.

The publication of this book is generally seen as the initial

point of modern game theory.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - Where is it applied?

When there is competition for a resource to be analysed,

game theory can be used either to explain existing behaviour

or to improve strategies.

The first is especially applied by sciences which analyse

long-term situations, like biology or sociology.

In animality, for example, one can find situations, where

cooperation has developed for the sake of mutual benefits.

The latter is a crucial tool in sciences like economics.

Companies use game theory to improve their strategical

situation in the market.

Many more sciences like sociology, philosophy, psychology and

cultural anthropology use game theory as an appropriate tool.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - Where is it applied?

When there is competition for a resource to be analysed,

game theory can be used either to explain existing behaviour

or to improve strategies.

The first is especially applied by sciences which analyse

long-term situations, like biology or sociology.

In animality, for example, one can find situations, where

cooperation has developed for the sake of mutual benefits.

The latter is a crucial tool in sciences like economics.

Companies use game theory to improve their strategical

situation in the market.

Many more sciences like sociology, philosophy, psychology and

cultural anthropology use game theory as an appropriate tool.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - Where is it applied?

When there is competition for a resource to be analysed,

game theory can be used either to explain existing behaviour

or to improve strategies.

The first is especially applied by sciences which analyse

long-term situations, like biology or sociology.

In animality, for example, one can find situations, where

cooperation has developed for the sake of mutual benefits.

The latter is a crucial tool in sciences like economics.

Companies use game theory to improve their strategical

situation in the market.

Many more sciences like sociology, philosophy, psychology and

cultural anthropology use game theory as an appropriate tool.

Definitions Games Evolutionary Game Theory (EGT) Applications Outlook

Game Theory - What is it? Game Theory - Where is it applied?

Game Theory - Where is it applied?

When there is competition for a resource to be analysed,

game theory can be used either to explain existing behaviour

or to improve strategies.

The first is especially applied by sciences which analyse

long-term situations, like biology or sociology.

In animality, for example, one can find situations, where

cooperation has developed for the sake of mutual benefits.

The latter is a crucial tool in sciences like economics.

Companies use game theory to improve their strategical

situation in the market.

Many more sciences like sociology, philosophy, psychology and

cultural anthropology use game theory as an appropriate tool.