Game theory and minimax theorem
Teoría de juegos y teorema minimax
- Date
- 1928-1944 · confidence high
- Place
- Berlin and Princeton
- Credited to
- John von Neumann (1928); Theory of Games and Economic Behavior with Oskar Morgenstern (1944)
- People
- 👤 John von Neumann1903–1957👤 Oskar Morgenstern1902–1977
- Field
- Knowledge & symbols
What was discovered
Every finite two-player zero-sum game has a value and optimal mixed strategies. The 1944 book founded game theory as a discipline and expected utility theory.
Von Neumann also founded the architecture of modern computers and the theory of cellular automata.
What it led to
- Nash equilibrium
- mathematical economics
- decision theory
- mechanism design and auctions
- linear programming (duality)
Built on
- Brouwer fixed-point theorem1911
- Borel (mixed strategies)
- Zermelo (chess, 1913)
- Brouwer's theorem