## Advances in Mathematical Economics, Volume 18A lot of economic problems can be 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 are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. |

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### Contents

1 | |

Stochastic Mesh Methods for Hörmander Type Diffusion Processes | 60 |

Turnpike Properties for Nonconcave Problems | 101 |

A Characterization of Quasiconcave Function in View of the Integrability Theory | 135 |

141 | |

Instructions for Authors | 143 |

### Other editions - View all

Advances in Mathematical Economics, Volume 18 Shigeo Kusuoka,Toru Maruyama No preview available - 2014 |

Advances in Mathematical Economics, Volume 18 Shigeo Kusuoka,Toru Maruyama No preview available - 2016 |

### Common terms and phrases

a.c. function approximate solutions assertion Assume Banach space bounded Castaing continuous function converges uniformly convex compact valued deduce deﬁned deﬁnition denote difﬁcult discrete-time Econ equicontinuous exists a positive F(to f)-good f)-minimal f)-overtaking feSé ﬁrst following result function f g(Tk Green function implies inequality infinite horizon integer integral representation formulas integrand f JAPAN Kusuoka Lemma Let f local maximum lower semicontinuous m-point boundary condition Mackey topology Malliavin calculus Math Mathematical Economics Mathematics Subject Classification measurable functions natural number optimal control optimal control problems optimal program overtaking optimal Pettis-integrable points x G X positive number Proof Proposition s)ds satisfying scalarly Sect semicontinuous function separable Banach space SODE sweeping process Theorem Tm,Tm+1 Tokyo topology trajectory solution turnpike property turnpike results value function variational problems weak derivative X E X E Young measures Zaslavski