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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.
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.
Develop and empirically compare models that jointly predict multiple systematic departures from idealized rational choice across decision contexts.
Explain the historical excess return of equities over relatively safe bonds within empirically defensible models of preferences, risk and market structure.
Evolutionary Games, Learning and Congestion Games · ICM 2022: Independent learning in stochastic games
Actuarial Science and Mathematical Finance · ICM 2014: Stochastic modeling and methods in optimal portfolio construction
Decision, Utility, Risk and Preference Theory · ICM 2014: Stochastic modeling and methods in optimal portfolio construction
Combinatorial, Algorithmic and Applied Game Theory · ICM 2006: Potential functions and the inefficiency of equilibria
Cooperative Game Theory · ICM 1978: Recent Developments in the Theory of the Shapley Value
General Equilibrium and Economic Dynamics · ICM 2014: Academic wages, singularities, phase transitions and pyramid schemes
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Combinatorial, Algorithmic and Applied Game Theory · ICM 2014: Positional games
Evolutionary Games, Learning and Congestion Games · ICM 2006: Potential functions and the inefficiency of equilibria
Microeconomics, Firms, Labor, Contracts and Information · ICM 1928: La demande dans ses rapports avec la répartition des revenus
Dynamic, Stochastic and Differential Games · ICM 2022: Selected topics in mean field games
Combinatorial, Algorithmic and Applied Game Theory · ICM 2018: fixed points, and computational complexity Nevanlinna Prize lecture
Actuarial Science and Mathematical Finance · ICM 2014: Stochastic modeling and methods in optimal portfolio construction
Actuarial Science and Mathematical Finance · ICM 2014: Stochastic modeling and methods in optimal portfolio construction
General Equilibrium and Economic Dynamics · ICM 1986: Equilibrium Analysis of Large Economies
Existence of EFX Allocations. Moderately interesting problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.
Condorcet Winning Sets. Solid result problem from Epoch AI’s FrontierMath: Open Problems; answers are checked by a verifier program.