Markov strategy - Wikipedia

In game theory, a Markov strategy^[1] is one that depends only on state variables that summarize the history of the game in one way or another.^[2] For instance, a state variable can be the current play in a repeated game, or it can be any interpretation of a recent sequence of play.

A profile of Markov strategies is a Markov perfect equilibrium if it is a Nash equilibrium in every state of the game. The Markov strategy was invented by Andrey Markov.^[3]

References

^ "First Links in the Markov Chain". American Scientist. 2017-02-06. Retrieved 2017-02-06.
^ Fudenberg, Drew (1995). Game Theory. Cambridge, MA: The MIT Press. pp. 501–40. ISBN 0-262-06141-4.
^ Sack, Harald (2022-06-14). "Andrey Markov and the Markov Chains". SciHi Blog. Retrieved 2017-11-23.

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Theorems	Aumann's agreement theorem Folk theorem Minimax theorem Nash's theorem Negamax theorem Purification theorem Revelation principle Sprague–Grundy theorem Zermelo's theorem
Key figures	Albert W. Tucker Amos Tversky Antoine Augustin Cournot Ariel Rubinstein Claude Shannon Daniel Kahneman David K. Levine David M. Kreps Donald B. Gillies Drew Fudenberg Eric Maskin Harold W. Kuhn Herbert Simon Hervé Moulin John Conway Jean Tirole Jean-François Mertens Jennifer Tour Chayes John Harsanyi John Maynard Smith John Nash John von Neumann Kenneth Arrow Kenneth Binmore Leonid Hurwicz Lloyd Shapley Melvin Dresher Merrill M. Flood Olga Bondareva Oskar Morgenstern Paul Milgrom Peyton Young Reinhard Selten Robert Axelrod Robert Aumann Robert B. Wilson Roger Myerson Samuel Bowles Suzanne Scotchmer Thomas Schelling William Vickrey
Miscellaneous	Alpha–beta pruning Bounded rationality Combinatorial game theory Confrontation analysis Coopetition Evolutionary game theory Glossary of game theory List of game theorists List of games in game theory No-win situation Topological game Tragedy of the commons

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