## Mainstream Mathematical Economics in the 20th CenturyTo write everything about nothing, or to write nothing about everything: this is the problem. (Anonym, circa 1996-97) The first idea to write a book on M athematical Economics, more or less ordered in a historical sequence, occurred to me in 1995, when I was asked, by Istituto delta Enciclopedia Italiana, to write the entry "Storia dell'economia 1 2 matematica" , for the collective work "Storia deI XX Secolo". I thought that it would be interesting to elaborate on the text presented to the editors, to turn it into a book aiming at giving a panorama of what, in my opinion, are the main 20th century contributions to mathematical eco nomics. Of course, only a narrow set of the contributions made by economic theorists could be included, both for space limitations and necessity, because 3 of the limited competence of any single author. For instance, I have paid very limited attention to what is now called Macroeconomics, and also to Game Theory, which actually has grown so much as to acquire scientific in dependence as a living branch of applied mathematics. For the same reason, I have also left completely untouched such fields as Mathematical Finance, Public Economics, Theory of Taxation, etc. I have always based my presentation on published material only, assuming that what is contained in working papers still waits to be confirmed, possibly in the first years of the 21th century. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Cournot Walras and Edgeworth | 3 |

Pareto and General Equilibrium | 19 |

Classical General Equilibrium | 29 |

Wald and Existence Proofs | 45 |

Early Multisectoral Growth | 55 |

Dynamic Modelling | 61 |

Irving Fisher and Interest Theory | 77 |

Widening General Equilibrium Theory | 83 |

Regular Economies | 235 |

Efficiency and Core Large Economies | 253 |

Game Theory and Oligopoly | 271 |

Social Choice and Welfare Economics | 289 |

Macroeconomic Growth Theory | 305 |

Multisectoral Growth Models | 325 |

Optimal Growth | 351 |

Intertemporal Individual Choices | 369 |

Applied General Equilibrium | 95 |

Walras cum Leontief | 105 |

From Classical to Modern Analysis | 117 |

Linear Programming and Extensions | 133 |

Consumers Analysis | 143 |

Firms Analysis | 169 |

General Competitive Equilibrium | 197 |

Stability and More | 217 |

### Common terms and phrases

according agents assume Assumption budget constraint called capital choose commodity compact concave condition consumer consumption vector contained continuous convex set corresponding course defined demand multifunction denoted differentiable manifold differential equation dynamic economy elements endowments equal equilibrium model equilibrium price equilibrium price vector excess demand existence expressed firm future game theory given hemicontinuous hence his/her implies income incomplete markets individual inequality input instance interesting intertemporal introduced labour least let us consider linear programming marginal Mathematical Appendix matrix maximize maximum means Moreover namely negative Neumann non-negative notations notion obtain oligopoly open set optimal output Pareto efficient period positively homogeneous possible present price vector problem production function profit proof prove quantities real asset respect returns to scale satisfying sequence solution stationary subset sunspot equilibrium temporary equilibrium topological space topology trajectories upper hemicontinuous utility function variables Walras Walrasian Walrasian equilibrium write zero