Skip to main content
Introduction to Game Theory:
a Discovery Approach
Jennifer Firkins Nordstrom
Contents
Index
Search Book
close
Search Results:
No results.
Prev
Up
Next
\( \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\MyTikzmark}[2]{ \tikz[overlay,remember picture,baseline] \node [anchor=base] (#1) {$#2$};} \newcommand{\DrawVLine}[3][]{ \begin{tikzpicture}[overlay,remember picture] \draw[shorten \lt =0.3ex, #1] (#2.north) -- (#3.south); \end{tikzpicture} } \newcommand{\DrawHLine}[3][]{ \begin{tikzpicture}[overlay,remember picture] \draw[shorten \lt =0.2em, #1] (#2.west) -- (#3.east); \end{tikzpicture} } \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)
Front Matter
Colophon
Preface
1
What is Game Theory?
1.1
Players and Strategies
1.1.1
Assumptions: Cake Division
1.1.2
Developing Strategies: Tic Tac Toe
1.1.3
Check Your Understanding
1.2
Game Matrices and Payoff Vectors
1.2.1
Setting up a Payoff Matrix
1.2.2
Revisiting the Assumptions
1.2.3
Check Your Understanding
2
Two-Person Zero-Sum Games
2.1
Introduction to Two-Person Zero-Sum Games
2.1.1
An Election Campaign Game
2.1.2
Equilibrium Pairs
2.1.3
Check Your Understanding
2.2
Finding Strategies
2.2.1
Simplifying a Zero-Sum Game Matrix
2.2.2
Dominated Strategies
2.2.3
Maximin and Minimax Strategies
2.2.4
Check Your Understanding
2.3
Probability and Expected Value
2.3.1
Some Basic Probability
2.3.2
Expected Value
2.3.3
Check Your Understanding
2.4
A Game of Chance
2.4
Check Your Understanding
2.5
Equilibrium Points
2.5
Check Your Understanding
2.6
Strategies for Zero-Sum Games and Equilibrium Points
2.6
Check Your Understanding
2.7
Popular Culture: Rationality and Perfect Information
3
Repeated Two-Person Zero-sum Games
3.1
Introduction to Repeated Games
3.1
Check Your Understanding
3.2
Mixed Strategies: Graphical Solution
3.2
Check Your Understanding
3.3
Using Sage to Graph Lines and Solve Equations
3.3
Check Your Understanding
3.4
Mixed Strategies: Expected Value Solution
3.4
Check Your Understanding
3.5
Liar’s Poker
3.5
Check Your Understanding
3.6
Solving Systems of Equations Using Matrices
3.6
Check Your Understanding
3.7
Undercut
3.7
Check Your Understanding
4
Non-Zero-Sum Games
4.1
Introduction to Two-Player Non-Zero-Sum Games
4.1
Check Your Understanding
4.2
Prisoner’s Dilemma and Chicken
4.2
Check Your Understanding
4.3
A Class-Wide Experiment
4.3
Check Your Understanding
4.4
What Makes a Prisoner’s Dilemma?
4.4
Check Your Understanding
4.5
Another Multiplayer Experiment
4.5
Check Your Understanding
4.6
Volunteer’s Dilemma
4.6
Check Your Understanding
4.7
Repeated Prisoner’s Dilemma
4.7
Check Your Understanding
4.8
Popular Culture: Prisoner’s Dilemma and Chicken
Backmatter
References
Index
Colophon
Colophon
Colophon
This text was authored in PreTeXt.
