The concept of 'the core' originates in cooperative game theory and its introduction to economics in the 1960s as a basis for proofs of existence of general equilibrium is one of the earliest attempts to use game theory to address big questions in economics. Discovery of the core was met with...

Water is essential for life. However, the basic problem of water resource allocation has been that water tends to be over-allocated. Demand for water exceeds the available supply. Essentially, the water economy is bankrupt. Bankruptcy problems have been almost exhaustively studied in the...

Since an extended core violates related properties of consistency, this paper proposes the concept of pseudo core. By focusing on the agents and the operational levels simultaneously, an extended reduction is also introduced to axiomatize the pseudo core. Furthermore, this paper adopts the...

This paper documents an early fork in the development of macroeconomics, by examining a debate between the Dutch economists Jan Tinbergen and Johan Koopmans. In a 1932 paper, Tinbergen argued that two firms could be stuck in a 'bad' equilibrium in the absence of a coordinated action to increase...

This paper is an exploration of the genesis of Paul Samuelson's Foundations of Economic Analysis (1947) from the perspective of his commitment to Edwin B. Wilson's mathematics. The paper sheds new lights on Samuelson's Foundations at two levels. First, Wilson's foundational ideas, embodied in...

In this paper we address the story of developments in general equilibrium theory (GET) in the USSR during the 1970s through the lens of a single biography. The Soviet advances in mathematical economics, only fragmentarily known in the West, give an occasion to reflect on the extension of the...

The present study raises the following questions: To what extent is axiomatic general equilibrium analysis a rational reconstruction of Scottish Political Economy as defined by the writings of David Hume and Adam Smith? How much is gained and how much lost by the axiomatic transformation of the...

This paper is an exploration of the genesis of Paul Samuelson's Foundations of Economic Analysis (1947) from the perspective of his commitment to Edwin B. Wilson's mathematics. The paper sheds new lights on Samuelson's Foundations at two levels. First, Wilson's foundational ideas, embodied in...

Apart from followers as Milton Friedman, Paul Samuelson, Ronald Coase, and Maurice Allais, most economists abandoned Irving Fisher’s economic framework after the post-1929 Great Crisis. Without citing Fisher however, in 1958 Franco Modigliani and Merton Miller reutilised his framework to found...