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...

This paper aims at showing that the disconnection between formal structures and theoretical content in economic model building could lead to undesirable consequences. In this sense, linking formal and verbal contents by means of coherent and relevant interpretations is worth the effort. For it...

While methodological sciences have no object and are supposed to adopt a hypothetical-deductive method, substantive sciences, including economics, should use an empirical or historical-deductive method. The great classical economists and Keynes did that and were able to develop open models...

In the theory of judgment aggregation, it is known for which agendas of propositions it is possible to aggregate individual judgments into collective ones in accordance with the Arrow-inspired requirements of universal domain, collective rationality, unanimity preservation, non-dictatorship and...

This paper aims at constructing a model of a small open economy of the Slovak Republic. In essence, the model represents a synthesis of already published modifications of the Mundell - Fleming type of models, describing the market of goods and services in interaction with the money market and...

The claim in this paper is that Sraffa employed a rigorous logic of mathematical reasoning in his book, Production of Commodities by Means of Commodities (PCC), in such a way that the existence proofs were constructive. This is the kind of mathematics that was prevalent at the beginning of the...

Frank Ramsey's classic framing of the dynamics of optimal savings, [51] as one to be solved as a problem in the calculus of variations and Ragnar Frisch's imaginative invoking of a felicitous Wicksellian metaphor to provide the impulse-propagation dichotomy, in a stochastic dynamic framework,...

The mathematization of economics is almost exclusively in terms of the mathematics of real analysis which, in turn, is founded on set theory (and the axiom of choice) and orthodox mathematical logic. In this paper I try to point out that this kind of mathematization is replete with economic...