The concepts of M-convex functions and M^-convex functions play central roles in the theory of discrete convex analysis which has been applied to mathematical economics. On the other hand, substitutability, which is a key property guaranteeing the existence of a stable matching in generalized stable marriage models, is known as a nice property in mathematical economics. In this paper, we introd...

In response to Wooders [Journal of Mathematical Economics 36 (2001) 295], I review the contributions of Engl and Scotchmer regarding the hedonic core and monotonicity [Journal of Mathematical Economics 26 (1996) 209], show how our contributions diverge from those previously in the literature, and highlight the importance of our assumptions by giving counterexamples, particularly to related resu...

Is economics a science or a theology? Nelson sensibly argues that economists are a priestly class; they issue authoritative (scientific) blessings upon the marketplace. The bishops of this class are the mathematicians, who convert ideology into “science”. This essay, in contrast, argues that mathematics has more to do with internal competition between economists than with politics or religion. ...

In this paper, I introduce the theorems in Professor Hukukane Nikaido’s work, “Coincidence and some systems of inequalities,” published in the Journal of Mathematical Society of Japan, 1959, and note the significance of his mathematical methods on the history and the future of mathematical economics. Nikaido (1959) may be considered a compilation of his works of the 1950’s on economic equilibri...

a Massey University, School of Economics and Finance (Albany), PB 102 904, North Shore Mail Centre, Auckland 0745, New Zealand b New Zealand Social Innovation and Entrepreneurship Research Centre, New Zealand c Centre for Mathematical Social Sciences, University of Auckland, New Zealand d University of Rome “Tor Vergata”, Department of Economics and Institutions, Via Columbia 2, 00133 Rome, Ita...

He has published on many areas in the philosophy, history, ethics, and methodology of economics. His published monographs include Keynes's philosophical development (Cambridge, 1994); The theory of the individual in economics (Routledge, 2003); and Individuals and identity in economics (Cambridge, 2011). He co-authored Economic methodology: understanding economics as a science (Palgrave, 2010) ...

This work is devoted to development of economic and mathematical models for selection the optimum investment solution. Moreover, it states basis model examples correction considering results obtained in examples. In problem set sources objects, which limited linear programming problem. The controlled variable basic limitations simulating real credit monetary relations are distinguished provided...

In the nineteenth century, scholars trained in both mathematics and political economy began to construct economic theory in mathematical form. Over the course of the next half century, mathematical analysis gradually came to be applied, sometimes implicitly and often relegated to appendices and footnotes, in more and more parts of economic theory. Then, quite suddenly, in the years immediately ...