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Solution concept

In game theory, a solution concept is a formal rule for predicting how a game will be played. These predictions are called "solutions", and describe which strategies will be adopted by players and, therefore, the result of the game. The most commonly used solution concepts are equilibrium concepts, most famously Nash equilibrium.

Rationalizability and iterated dominance, Forward induction & Backward induction

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Rationalizability and iterated dominance

Strictly dominated strategiesStrictly dominatedMinimaxGame-tree searchPrisoners' dilemma
5 related topics

Forward induction

Jean-François MertensMertens-stable equilibriumBurning money game
3 related topics

Backward induction

Monetary policy theoryStackelberg competition
2 related topics

Subgame perfect Nash equilibrium

SubgameImperfect information
2 related topics

Topics to explore

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Overview

Formal definition

Rationalizability and iterated dominance

Nash equilibrium

Backward induction

Subgame perfect Nash equilibrium

Perfect Bayesian equilibrium

Forward induction

Advanced semantic analysis

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Map overview Semantic statistics

Solution concept

Nodes28
Edges27
Triples29
Avg. degree1.93
Density0.071429
Components1

How this topic connects Entity context

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Solution concept

Top relations

related to Perfect Bayesian equilibrium · 12
Solution concept → Bayesian, For, Hence, In, Just, Nash, PBE, Sometimes, That, The, Thus, Unlike
related to Forward induction · 9
Solution concept → Forward, Hence, Jean-François Mertens, Kohlberg, Mertens, Mertens-stable, Stable, To, Where
related to Formal definition · 3
Solution concept → Gamma, Let, Pi
related to Rationalizability and iterated dominance · 3
Solution concept → For, In, Strictly
is a · 2
Solution concept → element of the direct product Π G, formal rule for predicting how a game will be played

Important terminology Word statistics

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Important terminology

equilibrium game nash solution induction player games backward incumbent subgame entrant strategies strategy information theory equilibria concept set players rational

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Solution conceptis aformal rule for predicting how a game will be played0.90text
Solution conceptis aelement of the direct product Π G0.90text
Solution conceptrelated to Formal definitionLet0.60section
Solution conceptrelated to Formal definitionGamma0.60section
Solution conceptrelated to Formal definitionPi0.60section
Solution conceptrelated to Forward inductionForward0.60section
Solution conceptrelated to Forward inductionWhere0.60section
Solution conceptrelated to Forward inductionHence0.60section
Solution conceptrelated to Forward inductionKohlberg0.60section
Solution conceptrelated to Forward inductionMertens0.60section
Solution conceptrelated to Forward inductionStable0.60section
Solution conceptrelated to Forward inductionTo0.60section

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