Home›Game Theory›Statement Form›CharacterizationConceptCharacterizationLogic, Foundations and Set TheoryReference and ClassificationDevelopingIn mathematics, a characterization of an object is a set of conditions that, while possibly different from the definition of the object, is logically equivalent to it. The cited article explains that to say a property characterizes an object is to say that not only does the object have the property, but that it is the only thing that has it, and that even though a characterization identifies an object uniquely, several characterizations can exist for a single object. It notes the common phrasings that a property is necessary and sufficient for the object, or that the object holds if and only if the property does. Theorems stated as if and only if conditions are grouped under this concept.CharacterizationConnectionsSourcesTake a Related QuizComments (0)Reader Challenges (0)CharacterizationFilter Results23 entriesBranchAllGame Theory (5)Information Theory (1)Topic AreaAllDecision Theory and Utility (3)Economic Theory (10)Equilibria, Bargaining and Cooperative Games (2)International Trade Theory (5)Mechanism Design (2)ProvedAll1930 (1)1936 (1)1941 (1)1948 (1)1951 (2)1953 (2)1955 (1)1958 (1)1961 (2)1963 (2)1964 (1)1976 (1)Proved ByAllDavid Blackwell (1)Gérard Debreu (1)Harold W. Kuhn (1)Lloyd Shapley (2)Olga Bondareva (1)Robert Aumann (1)Proved By (Other Fields)AllRonald Coase (1)Show ResultsBrowseCompareSelect all 23Blackwell's Informativeness TheoremCharacterizationBondareva-Shapley TheoremCharacterizationCoase TheoremCharacterizationEdgeworth's Limit TheoremCharacterizationFactor Price EqualizationCharacterizationFisher Separation TheoremCharacterizationFundamental Theorems of Welfare EconomicsCharacterizationHeckscher-Ohlin TheoremCharacterizationHenry George TheoremCharacterizationKuhn's TheoremCharacterizationLerner Symmetry TheoremCharacterizationMarginal Value TheoremCharacterizationModigliani-Miller TheoremCharacterizationMoving Equilibrium TheoremCharacterizationOkishio's TheoremCharacterizationRevelation PrincipleCharacterizationRybczynski TheoremCharacterizationShapley's TheoremCharacterizationStolper-Samuelson TheoremCharacterizationTopkis's TheoremCharacterizationUtility Representation TheoremCharacterizationUzawa's TheoremCharacterizationVickrey-Clarke-Groves TheoremCharacterizationConnectionsIn BranchLogic and Foundations, Branches of Mathematics Well-attested Source Wolfram MathWorld: CharacterizationStatement Form OfDe Bruijn-Erdos Theorem (Graph Theory), Theorems Well-attested de Finetti's Theorem, Theorems Well-attested De Rham's Theorem, Theorems Well-attested Deduction Theorem, Theorems Well-attested Delta Method, Theorems Well-attested Desargues' Theorem, Theorems Well-attested Diaconescu's Theorem, Theorems Well-attested Dini's Theorem, Theorems Well-attested Discontinuities of Monotone Functions, Theorems Well-attested Donsker's Theorem, Theorems Well-attested Edgeworth's Limit Theorem, Theorems Well-attested Ehrenfeucht-Fraisse Theorem, Theorems Well-attested Equal Incircles Theorem, Theorems Well-attested Equidistribution Theorem, Theorems Well-attested Erdos-Gallai Theorem, Theorems Well-attested Euclid-Euler Theorem, Theorems Well-attested Ewald-Oseen Extinction Theorem, Theorems Well-attested Factor Price Equalization, Theorems Well-attested False Confidence Theorem, Theorems Well-attested Feit-Thompson Theorem, Theorems Well-attested Fermat's Theorem on Sums of Two Squares, Theorems Well-attested Fisher Separation Theorem, Theorems Well-attested Fisher-Neyman Factorization Theorem, Theorems Well-attested Free Will Theorem, Theorems Well-attested Frege's Theorem, Theorems Well-attested Freiman's Theorem, Theorems Well-attested Frisch-Waugh-Lovell Theorem, Theorems Well-attested Fubini's Theorem on Differentiation, Theorems Well-attested Fundamental Theorem of Equivalence Relations, Theorems Well-attested Fundamental Theorem of Topos Theory, Theorems Well-attested Fundamental Theorems of Welfare Economics, Theorems Well-attested Furstenberg's Proof of the Infinitude of Primes, Theorems Well-attested Gamas's Theorem, Theorems Well-attested Gauss-Lucas Theorem, Theorems Well-attested Gauss-Markov Theorem, Theorems Well-attested Gauss's Lemma (Polynomials), Theorems Well-attested Gauss's Theorema Egregium, Theorems Well-attested Gelfond-Schneider Theorem, Theorems Well-attested Gleason's Theorem, Theorems Well-attested Glivenko-Cantelli Theorem, Theorems Well-attested Going-Up and Going-Down Theorems, Theorems Well-attested Goursat's Theorem, Theorems Well-attested Graph Structure Theorem, Theorems Well-attested Grinberg's Theorem, Theorems Well-attested Hasse Norm Theorem, Theorems Well-attested Hasse-Minkowski Theorem, Theorems Well-attested Heckscher-Ohlin Theorem, Theorems Well-attested Heine-Borel Theorem, Theorems Well-attested Henry George Theorem, Theorems Well-attested Herbrand-Ribet Theorem, Theorems Well-attested Showing 51 to 100 of 263 in Statement Form Of, page 2 of 6.← Previous1234…6Next →SourcesCharacterizationWikipedia, lead sectionQuote, Wikipedia, lead sectionIn mathematics, a characterization of an object is a set of conditions that, while possibly different from the definition of the object, is logically equivalent to it.View the SourceLatimer-MacDuffee theorem (Wikipedia)Statement Form Of: Latimer-MacDuffee theorem, StatementQuote, Statement Form Of: Latimer-MacDuffee theorem, StatementThe Latimer-MacDuffee theorem gives a one-to-one correspondence betweenView the SourceWolfram MathWorld: CharacterizationWolfram MathWorldIn Branch: Logic and Foundations, Subject classificationsQuote, In Branch: Logic and Foundations, Subject classificationsFoundations of Mathematics Theorem ProvingView the SourceTake a Related QuizOrigins of Mathematical ConceptsCovers this kind of entry.Comments (0)No comments yet. 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