Advances in Mathematical Economics

Abstract

Nineteen papers, presented at the Third International Conference on Mathematical Analysis in Economic Theory held in Tokyo in December 2004, explore advances in mathematical economics. Papers discuss the existence of financial equilibria in a multiperiod 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; differentiability and bifurcation; 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 problems associated with a model of welfare economics with a measure spaces of agents; direct and indirect connections, the Shapley value, and network formation; a geometric investigation of discounted optimal growth in the two-sector RSS model; 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; and the Bertrand equilibrium in a price competition game. Kusuoka is with the Graduate School of Mathematical Sciences at the University of Tokyo. Yamazaki is with the Graduate Faculty of Economics at Hitotsubashi University. Subject index.