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Mathematics Subject Classification – MSC2020
91XX
Game theory, economics, finance, and other social and behavioral sciences
155818
91Bxx
Mathematical economics
{For econometrics, see
62P20
}
95085
91B02
Fundamental topics (basic mathematics, methodology; applicable to economics in general)
568
91B03
Mechanism design theory
75
91B05
Risk models (general)
{For actuarial and financial risk, see
91Gxx
}
106
91B06
Decision theory
[See also
62Cxx
,
90B50
,
91A35
]
9834
91B08
Individual preferences
3073
91B10
Group preferences
1050
91B12
Voting theory
2564
91B14
Social choice
4600
91B15
Welfare economics
898
91B16
Utility theory
[See also
91A30
]
4885
91B18
Public goods
1053
91B24
Microeconomic theory (price theory and economic markets)
6145
91B26
Auctions, bargaining, bidding and selling, and other market models
7642
91B32
Resource and cost allocation (including fair division, apportionment, etc.)
2828
91B38
Production theory, theory of the firm
3915
91B39
Labor markets
103
91B41
Contract theory (moral hazard, adverse selection)
43
91B42
Consumer behavior, demand theory
2625
91B43
Principalagent models
38
91B44
Economics of information
1571
91B50
General equilibrium theory
5072
91B51
Dynamic stochastic general equilibrium theory
375
91B52
Special types of economic equilibria
1318
91B54
Special types of economic markets (including Cournot, Bertrand)
2034
91B55
Economic dynamics
931
91B60
Trade models
4268
91B62
Economic growth models
9024
91B64
Macroeconomic theory (monetary models, models of taxation)
4801
91B66
Multisectoral models in economics
1142
91B68
Matching models
1402
91B69
Heterogeneous agent models
608
91B70
Stochastic models in economics
2070
91B72
Spatial models in economics
[See also
91D25
]
564
91B74
Economic models of realworld systems (e.g., electricity markets, etc.)
1513
91B76
Environmental economics (natural resource models, harvesting, pollution, etc.)
4648
91B80
Applications of statistical and quantum mechanics to economics (econophysics)
610
91B82
Statistical methods; economic indices and measures
[See also
62P20
]
4656
91B84
Economic time series analysis
{For statistical theory of time series, see
62M10
}
4265
91B86
Mathematical economics and fuzziness
91
91B99
None of the above, but in this section
1653
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
W3C
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