wunder beta♟️ Game Theory
The math of strategy: how rational people choose when outcomes collide.
What you’ll learn
- Explain game theory's core ideas: players and payoffs, the prisoner's dilemma, Nash equilibrium, and dominant strategies.Game theory studies strategic decisions where each choice depends on others'. The prisoner's dilemma shows how rational self-interest can produce worse collective outcomes. A Nash equilibrium is a stable set of strategies where no one gains by switching alone, and a dominant strategy beats all alternatives regardless of others.
- Distinguish zero-sum from positive-sum games and apply repeated-game and commons concepts to real situations.Zero-sum games pit gains against equal losses, while positive-sum games let cooperation enlarge the pie. Repeated interaction enables trust, with tit for tat a robust strategy. The tragedy of the commons shows how shared resources collapse, though communities can craft rules to prevent it.
Questions this course answers
In the prisoner's dilemma, why do two rational prisoners both betray?
Betraying is a dominant strategy: it yields a better payoff no matter what the other prisoner does, so both defect.
A Nash equilibrium is a situation in which what is true?
At a Nash equilibrium no player can improve by unilaterally switching strategies; it is stable but not necessarily best for the group.
Who is the Nash equilibrium named after, and what prize did he share?
John Nash introduced the concept around 1950 and shared the 1994 Nobel Memorial Prize in Economics for it.
In a zero-sum game, what is true of the payoffs?
In a zero-sum game one player's gain exactly equals another's loss, unlike positive-sum games where cooperation can benefit all.
Which simple strategy performed well in Robert Axelrod's repeated-game tournaments?
Tit for tat cooperates first, then mirrors the opponent's last move; it was nice, retaliatory, forgiving, and clear.
The tragedy of the commons describes what problem?
Each user gains from taking more of a shared resource while everyone bears the cost of overuse, leading to collective ruin.
Grounded in trusted sources
- John von Neumann & Oskar Morgenstern, Theory of Games and Economic Behavior (Princeton University Press, 1944)
- Encyclopaedia Britannica, 'Nash equilibrium' (https://www.britannica.com/science/Nash-equilibrium)
- Robert Axelrod, The Evolution of Cooperation (Basic Books, 1984)
- Garrett Hardin, 'The Tragedy of the Commons,' Science, vol. 162 (1968)
- Avinash Dixit & Barry Nalebuff, Thinking Strategically (W. W. Norton, 1991)
Every Wunder lesson is built from real, reputable sources — never invented.
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