In the 1870s and 1880s, the scientist, logician, and pragmatist philosopher Charles S. Peirce possessed an advanced knowledge of mathematical economics, having mastered and criticized Cournot as early as 1871. In 1884 he engaged in a multi-round debate with the editors of The Nation over the...

This 150-page long book consists of 18 chapters and presents several dozens mathematical-economic models. One part consists of well-known models but the other models come from the author's research, mainly on pension economics. The book is written for readers who have a high-school education...

Before the use of mathematics in economics was generalized, mathematical and nonmathematically trained economist lived together. This paper studies this period of cohabitation. By focusing on the communication challenges between these two groups during the 1940s, 1950s, and 1960s, a watershed...

Query auctions are iterative auctions in which bidders have to select in each round an action from a finite set. We show that, when bidders have continuous valuations, any ex post equilibrium in an ex post individually rational query auction can only be ex post efficient when the running time of...

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles...

This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles...

The objective of this paper is to propose an analytical framework to examine the foundations of the theory of efficient growth. The theory of efficient growth is a newly developed theory based on the principles of the neoclassical framework. It argues that an economy grows efficiently under two...

In this paper, the author of How Economics Became a Mathematical Science (Duke University Press, 2002) responds to four papers (from Paul Davidson, Sheila Dow, Donald Katzner,and J. Barkley Rosser Jr.) written for a symposium on his book. In addition to specific responses to points raised by the...

This paper attempts to analyze “central place theory” of spatial economics based on “supply and demand theory” in microeconomics and “field theory” in physics, and also discuss their relationship. Three most important research findings are described below. Firstly, the concept of...

In this survey we analyze, and compare, various sufficient epistemic conditions for backward induction that have been proposed in the literature. To this purpose we present a simple epistemic base model for games with perfect information, and translate the different models into the language of...