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Mathematics Subject Classification – MSC2020
91XX
Game theory, economics, finance, and other social and behavioral sciences
156819
91Bxx
Mathematical economics
{For econometrics, see
62P20
}
95579
91B02
Fundamental topics (basic mathematics, methodology; applicable to economics in general)
571
91B03
Mechanism design theory
85
91B05
Risk models (general)
{For actuarial and financial risk, see
91Gxx
}
135
91B06
Decision theory
[See also
62Cxx
,
90B50
,
91A35
]
9914
91B08
Individual preferences
3094
91B10
Group preferences
1053
91B12
Voting theory
2577
91B14
Social choice
4608
91B15
Welfare economics
911
91B16
Utility theory
[See also
91A30
]
4913
91B18
Public goods
1060
91B24
Microeconomic theory (price theory and economic markets)
6193
91B26
Auctions, bargaining, bidding and selling, and other market models
7678
91B32
Resource and cost allocation (including fair division, apportionment, etc.)
2864
91B38
Production theory, theory of the firm
3951
91B39
Labor markets
107
91B41
Contract theory (moral hazard, adverse selection)
52
91B42
Consumer behavior, demand theory
2645
91B43
Principalagent models
45
91B44
Economics of information
1581
91B50
General equilibrium theory
5073
91B51
Dynamic stochastic general equilibrium theory
381
91B52
Special types of economic equilibria
1326
91B54
Special types of economic markets (including Cournot, Bertrand)
2054
91B55
Economic dynamics
939
91B60
Trade models
4274
91B62
Economic growth models
9044
91B64
Macroeconomic theory (monetary models, models of taxation)
4823
91B66
Multisectoral models in economics
1148
91B68
Matching models
1410
91B69
Heterogeneous agent models
612
91B70
Stochastic models in economics
2075
91B72
Spatial models in economics
[See also
91D25
]
565
91B74
Economic models of realworld systems (e.g., electricity markets, etc.)
1535
91B76
Environmental economics (natural resource models, harvesting, pollution, etc.)
4735
91B80
Applications of statistical and quantum mechanics to economics (econophysics)
612
91B82
Statistical methods; economic indices and measures
[See also
62P20
]
4675
91B84
Economic time series analysis
{For statistical theory of time series, see
62M10
}
4294
91B86
Mathematical economics and fuzziness
114
91B99
None of the above, but in this section
1654
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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