Classification Search Result - zbMATH Open

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Mathematics Subject Classification – MSC2020

Measure and integration {For analysis on manifolds, see 58-XX}

39943

Set functions, measures and integrals with values in abstract spaces

4194

Set-valued set functions and measures; integration of set-valued functions; measurable selections [See also 26E25, 54C60, 54C65, 91B14]

1248

Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 53Cxx] {For nonlinear operators, see 47Hxx; for geometric integration theory, see 49Q15}

69402

Variational problems in infinite-dimensional spaces

14736

Multiobjective variational problems, Pareto optimality, applications to economics, etc. [See also 90C29, 91Bxx]

183

Statistics

272041

Statistical decision theory [See also 90B50, 91B06] {For game theory, see 91A35}

10413

Inference from stochastic processes

44522

Time series, auto-correlation, regression, etc. in statistics (GARCH) [See also 91B84]

24170

Applications of statistics [See also 90-XX, 91-XX, 92-XX]

76058

Applications of statistics to economics [See also 91Bxx]

15453

Operations research, mathematical programming

246737

Operations research and management science

116968

Management decision making, including multiple objectives [See also 90C29, 90C31, 91A35, 91B06]

14723

Marketing, advertising [See also 91B60]

1746

Game theory, economics, finance, and other social and behavioral sciences

177808

Game theory

50894

Utility theory for games [See also 91B16]

174

Decision theory for games [See also 62Cxx, 90B50, 91B06]

1161

Mathematical economics {For econometrics, see 62P20}

104886

Fundamental topics (basic mathematics, methodology; applicable to economics in general)

620

Mechanism design theory

344

Risk models (general) {For actuarial and financial risk, see 91Gxx}

444

Decision theory [See also 62Cxx, 90B50, 91A35]

11453

Individual preferences

3451

Group preferences

1097

Voting theory

2924

Social choice

4942

Welfare economics

1165

Utility theory [See also 91A30]

5306

Public goods

1243

Microeconomic theory (price theory and economic markets)

6828

Auctions, bargaining, bidding and selling, and other market models

8364

Resource and cost allocation (including fair division, apportionment, etc.)

3446

Production theory, theory of the firm

4328

Labor markets

501

Contract theory (moral hazard, adverse selection)

246

Consumer behavior, demand theory

3062

Principal-agent models

170

Economics of information

1706

General equilibrium theory

5295

Dynamic stochastic general equilibrium theory

454

Special types of economic equilibria

1416

Special types of economic markets (including Cournot, Bertrand)

2347

Economic dynamics

1149

Trade models

4448

Economic growth models

9530

Macroeconomic theory (monetary models, models of taxation)

5460

Multisectoral models in economics

1216

Matching models

1734

Heterogeneous agent models

700

Stochastic models in economics

2225

Spatial models in economics [See also 91D25]

666

Economic models of real-world systems (e.g., electricity markets, etc.)

1715

Environmental economics (natural resource models, harvesting, pollution, etc.)

5322

Applications of statistical and quantum mechanics to economics (econophysics)

691

Statistical methods; economic indices and measures [See also 62P20]

4956

Economic time series analysis {For statistical theory of time series, see 62M10}

4581

Mathematical economics and fuzziness

595

None of the above, but in this section

1709

Mathematical sociology (including anthropology)

9181

Spatial models in sociology [See also 91B72]

453

Manpower systems in sociology [See also 90B70, 91B39]

155

Overview

00

General and overarching topics; collections

01

History and biography

03

Mathematical logic and foundations

05

Combinatorics

06

Order, lattices, ordered algebraic structures

08

General algebraic systems

11

Number theory

12

Field theory and polynomials

13

Commutative algebra

14

Algebraic geometry

15

Linear and multilinear algebra; matrix theory

16

Associative rings and algebras

17

Nonassociative rings and algebras

18

Category theory; homological algebra

19

\(K\)-theory

20

Group theory and generalizations

22

Topological groups, Lie groups

26

Real functions

28

Measure and integration

30

Functions of a complex variable

31

Potential theory

32

Several complex variables and analytic spaces

33

Special functions

34

Ordinary differential equations

35

Partial differential equations

37

Dynamical systems and ergodic theory

39

Difference and functional equations

40

Sequences, series, summability

41

Approximations and expansions

42

Harmonic analysis on Euclidean spaces

43

Abstract harmonic analysis

44

Integral transforms, operational calculus

45

Integral equations

46

Functional analysis

47

Operator theory

49

Calculus of variations and optimal control; optimization

51

Geometry

52

Convex and discrete geometry

53

Differential geometry

54

General topology

55

Algebraic topology

57

Manifolds and cell complexes

58

Global analysis, analysis on manifolds

60

Probability theory and stochastic processes

62

Statistics

65

Numerical analysis

68

Computer science

70

Mechanics of particles and systems

74

Mechanics of deformable solids

76

Fluid mechanics

78

Optics, electromagnetic theory

80

Classical thermodynamics, heat transfer

81

Quantum theory

82

Statistical mechanics, structure of matter

83

Relativity and gravitational theory

85

Astronomy and astrophysics

86

Geophysics

90

Operations research, mathematical programming

91

Game theory, economics, finance, and other social and behavioral sciences

92

Biology and other natural sciences

93

Systems theory; control

94

Information and communication theory, circuits

97

Mathematics education

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