In Our Time Game Theory
May 10, 2012
Melvyn Bragg and guests delve into game theory, discussing its origins, the Prisoner's Dilemma, coordination in games like 'Battle of the Sexes', the use of mathematics in evolutionary biology, and its applications in economics and society. They explore decision-making strategies, Nash equilibrium, and behavioral patterns in decision-making.
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Rock-Paper-Scissors Demonstrates Mixed Play
- Ian Stewart uses rock-paper-scissors to show mixed strategies and unpredictability are optimal.
- Playing each option one-third of the time makes outcomes even over the long run.
Game Theory Has Deep Historical Roots
- Strategic thinking predates modern maths; historical texts show early game-theoretic reasoning.
- Von Neumann's 1928 theorem formalised strictly competitive two-player games and launched modern game theory.
Cooperation Needs Enforceable Agreements
- Cooperative games allow binding agreements enforced externally; non-cooperative games require self-enforcing strategies.
- Many theorists treat non-cooperative games as more fundamental and model enforcement as a larger game.