MSC2020 · 91Bxx

Mathematical economics

Mathematical economics \{For econometrics, see 62P20\}

26 mapped entries · Browse and filter all →

Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Subcategories

91B02Fundamental topics (basic mathematics, methodology; applicable to economics in general)0 91B03Mechanism design theory0 91B05Risk models (general)0 91B06Decision theory0 91B08Individual preferences0 91B10Group preferences0 91B12Voting theory2 91B14Social choice2 91B15Welfare economics0 91B16Utility theory0 91B18Public goods0 91B24Microeconomic theory (price theory and economic markets)0 91B26Auctions, bargaining, bidding and selling, and other market models0 91B32Resource and cost allocation (including fair division, apportionment, etc.)1 91B38Production theory, theory of the firm0 91B39Labor markets0 91B41Contract theory (moral hazard, adverse selection)0 91B42Consumer behavior, demand theory0 91B43Principal-agent models0 91B44Economics of information0 91B50General equilibrium theory0 91B51Dynamic stochastic general equilibrium theory0 91B52Special types of economic equilibria0 91B54Special types of economic markets (including Cournot, Bertrand)0 91B55Economic dynamics0 91B60Trade models0 91B62Economic growth models0 91B64Macroeconomic theory (monetary models, models of taxation)0 91B66Multisectoral models in economics0 91B68Matching models0 91B69Heterogeneous agent models0 91B70Stochastic models in economics0 91B72Spatial models in economics0 91B74Economic models of real-world systems (e.g., electricity markets, etc.)0 91B76Environmental economics (natural resource models, harvesting, pollution, etc.)0 91B80Applications of statistical and quantum mechanics to economics (econophysics)0 91B82Statistical methods; economic indices and measures0 91B84Economic time series analysis0 91B86Mathematical economics and fuzziness0 91B99Mathematical economics0

Mapped problems

OP-9509Mathematical economics and game theoryStatus unassessed

Cuts for proportional division with unequal entitlements

For n agents with nonatomic additive valuations and positive entitlements w i summing to one, determine the minimum worst-case number of cuts allowing each agent value at least w i of its total cake value.

Wikipedia — Fair division· Wikipedia selection · status unassessed

OP-9508Mathematical economics and game theoryStatus unassessed

Query complexity of complete envy-free cake division

Determine the worst-case number of Robertson–Webb value and cut queries needed for an exact envy-free allocation of an entire interval among n agents with nonatomic additive valuations. Disconnected pieces are allowed.

Wikipedia — Fair division· Wikipedia selection · status unassessed

OP-9507Economic theory and empirical puzzlesStatus unassessed

Predictive models of behavioral biases

Develop and empirically compare models that jointly predict multiple systematic departures from idealized rational choice across decision contexts.

Wikipedia — Economics· Wikipedia selection · status unassessed

OP-9506Economic theory and empirical puzzlesStatus unassessed

Explaining the equity premium

Explain the historical excess return of equities over relatively safe bonds within empirically defensible models of preferences, risk and market structure.

Wikipedia — Economics· Wikipedia selection · status unassessed

OP-0711Mathematical economics and game theoryOpen

Independent learning in stochastic games · 2022-econ-19

Evolutionary Games, Learning and Congestion Games · ICM 2022: Independent learning in stochastic games

ICM Conjectures· Source assessment · not reviewed· 2022

OP-0710Mathematical economics and game theoryOpen

Stochastic modeling and methods in optimal portfolio construction · 2014-econ-18

Actuarial Science and Mathematical Finance · ICM 2014: Stochastic modeling and methods in optimal portfolio construction

ICM Conjectures· Source assessment · not reviewed· 2014

OP-0709Mathematical economics and game theoryOpen

Stochastic modeling and methods in optimal portfolio construction · 2014-econ-17

Decision, Utility, Risk and Preference Theory · ICM 2014: Stochastic modeling and methods in optimal portfolio construction

ICM Conjectures· Source assessment · not reviewed· 2014

OP-0708Mathematical economics and game theoryOpen

Potential functions and the inefficiency of equilibria · 2006-econ-16

Combinatorial, Algorithmic and Applied Game Theory · ICM 2006: Potential functions and the inefficiency of equilibria

ICM Conjectures· Source assessment · not reviewed· 2006

OP-0707Mathematical economics and game theoryOpen

Recent Developments in the Theory of the Shapley Value · 1978-econ-15

Cooperative Game Theory · ICM 1978: Recent Developments in the Theory of the Shapley Value

ICM Conjectures· Source assessment · not reviewed· 1978

OP-0706Mathematical economics and game theoryOpen

Academic wages, singularities, phase transitions and pyramid schemes · 2014-econ-14

General Equilibrium and Economic Dynamics · ICM 2014: Academic wages, singularities, phase transitions and pyramid schemes

ICM Conjectures· Source assessment · not reviewed· 2014

Journals & articles in MSC 91

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Games and Economic Behavior ↗

Game Theory Society / Elsevier

Game theory and economic applications

Journal discovery is available; article-level extraction for this class is not yet included in this batch.

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