This is the ﬁrst volume in a three-volume exposition of Martin Shubik’s vision of “mathematical institutional mathematics” — a term he coined in 1959 to describe the theoretical underpinnings needed for the construction of an economic dynamics. The goal is to develop a process-oriented theory of money and ﬁnancial institutions that reconciles micro- and macroeconomics, using as a prime tool the theory of games in strategic and extensive form. The approach involves a search for minimal ﬁnancial institutions that appear as a logical, technological, and institutional necessity, as part of the “rules of the game.” Money and ﬁnancial institutions are assumed to be the basic elements of the network that transmits the sociopolitical imperatives to the economy.
Volume 1 deals with a one-period approach to economic exchange with money, debt, and bankruptcy. Volume 2 explores the new economic features that arise when we consider multiperiod ﬁnite and inﬁnite horizon economies. Volume 3 will consider the speciﬁc role of ﬁnancial institutions and government, and formulae the economic ﬁnancial control problem linking micro- and macroeconomics.