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A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.
List of contents
Research Articles.- Existence of financial equilibria in a multi-period stochastic economy.- Some variational convergence results with applications to evolution inclusions.- Hedging bounded claims with bounded outcomes.- The gain-loss asymmetry and single-self preferences.- A game-theoretic approach to global warming.- On differentiability and bifurcation.- On extensive form implementation of equilibria in differential information economies.- Fiscally stable income distributions under majority voting, Lorenz curves and bargaining sets.- Solving long term optimal investment problems with Cox-Ingersoll-Ross interest rates.- Implementation with unknown endowments in a two-trader pure exchange economy.- Cooperative extensions of the Bayesian game.- Variational problem associated with a model of welfare economics with a measure spaces of agents.- Direct and indirect connections, the Shapley value, and network formation.- Discounted optimal growth in the two-sector RSS model: a geometric investigation.- A prepayment model of mortgage-backed securities based on unobservable prepayment cost processes.- Solution-based congestion games.- New acceleration schemes with the asymptotic expansion in Monte Carlo simulation.- Licensing agreements as bargaining outcomes: general results and two examples.- The Bertrand equilibrium in a price competition game.
Summary
A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.
