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- Bellman_equation abstract "A Bellman equation, named after its discoverer, Richard Bellman, also known as a dynamic programming equation and a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. It writes the value of a decision problem at a certain point in time in terms of the payoff from some initial choices and the value of the remaining decision problem that results from those initial choices. This breaks a dynamic optimization problem into simpler subproblems, as Bellman's "Principle of Optimality" prescribes.The Bellman equation was first applied to engineering control theory and to other topics in applied mathematics, and subsequently became an important tool in economic theory; though the basic concepts of dynamic programming are prefigured in John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behavior and Abraham Wald's Sequential Analysis.Almost any problem which can be solved using optimal control theory can also be solved by analyzing the appropriate Bellman equation. However, the term 'Bellman equation' usually refers to the dynamic programming equation associated with discrete-time optimization problems. In continuous-time optimization problems, the analogous equation is a partial differential equation which is usually called the Hamilton–Jacobi–Bellman equation.".
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- Bellman_equation wikiPageWikiLink Capital_budgeting.
- Bellman_equation wikiPageWikiLink Category:Control_theory.
- Bellman_equation wikiPageWikiLink Category:Dynamic_programming.
- Bellman_equation wikiPageWikiLink Category:Equations.
- Bellman_equation wikiPageWikiLink Category:Mathematical_optimization.
- Bellman_equation wikiPageWikiLink Closed-form_expression.
- Bellman_equation wikiPageWikiLink Control_theory.
- Bellman_equation wikiPageWikiLink Control_variable_(programming).
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- Bellman_equation wikiPageWikiLink Dimitri_Bertsekas.
- Bellman_equation wikiPageWikiLink Discount_factor.
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- Bellman_equation wikiPageWikiLink Envelope_theorem.
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- Bellman_equation wikiPageWikiLink Measurable.
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- Bellman_equation wikiPageWikiLink Necessary_condition.
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- Bellman_equation wikiPageWikiLink Optimization_(mathematics).
- Bellman_equation wikiPageWikiLink Partial_differential_equation.
- Bellman_equation wikiPageWikiLink Principal–agent_problem.
- Bellman_equation wikiPageWikiLink Probability_measure.
- Bellman_equation wikiPageWikiLink Public_finance.
- Bellman_equation wikiPageWikiLink Recurrence_relation.
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- Bellman_equation wikiPageWikiLink Recursive_competitive_equilibrium.
- Bellman_equation wikiPageWikiLink Recursive_economics.
- Bellman_equation wikiPageWikiLink Resource_extraction.
- Bellman_equation wikiPageWikiLink Richard_Bellman.
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- Bellman_equation wikiPageWikiLink Richard_Muth.
- Bellman_equation wikiPageWikiLink Robert_C._Merton.
- Bellman_equation wikiPageWikiLink Robert_E._Lucas.
- Bellman_equation wikiPageWikiLink Robert_Lucas,_Jr..
- Bellman_equation wikiPageWikiLink Robert_Pindyck.
- Bellman_equation wikiPageWikiLink Search_theory.
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- Bellman_equation wikiPageWikiLink State_variable.
- Bellman_equation wikiPageWikiLink Subgame_perfect_equilibrium.
- Bellman_equation wikiPageWikiLink Tax.
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- Bellman_equation wikiPageWikiLink Theory_of_Games_and_Economic_Behavior.
- Bellman_equation wikiPageWikiLink Thomas_J._Sargent.
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- Bellman_equation wikiPageWikiLink Transversality_(mathematics).