By Thomas Quint, Martin Shubik
Using easy yet conscientiously outlined mathematical types, Thomas Quint and Martin Shubik discover financial keep an eye on in an easy trade economic climate. reading how funds enters, circulates, and exits an economic climate, they give thought to the character of buying and selling platforms and the position of presidency authority within the alternate of shopper items for storable cash; exchanges made with sturdy forex, similar to gold; fiat foreign money, that is versatile yet has no intake worth; stipulations below which debtors can claim financial ruin; and the differences among people who lend their very own funds, and financiers, who lend others’.
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Extra info for Barley, Gold, or Fiat: Toward a Pure Theory of Money
22) 1 b¯ = m1 + m2 − b = m2 + ( )m1 2+λ 1 m1 . 24) We now are in a position to show how to calculate λ. 5), b . 19), we have p = (1+λ)b , which is which implies that p2 p¯ = a−q b¯ ap − b¯ = (1 + λ)b, or p= a− p (1 + λ)b + b¯ m1 + m2 + λb = . 19), we may arrive at p¯ = (1 + λ)b¯ + b m1 + m2 + λb¯ = . 26) 1 equation, obtaining Now we can substitute into the p p¯ = 1+λ m1 + m2 + λb m1 + m2 + λb¯ 1 · = . 27) ¯ obtaining a ﬁfth-degree Finally, we can use our expressions for b and b, equation for λ in terms of the input parameters m1 , m2 , and a.
10577a. 16527a—it is in the monopolist’s self-interest to make sure that money is short (competition could weaken this; Shubik, 1976). A natural question to ask is: How much of a proﬁt can the monopolist extract from the traders as a function of the amount of money they have? , solutions where the bank is altruistic). 3. 7 A slightly more general model is presented and solved in Chapter 13. Trade with a Rich Large Agent there an amount m such that if each trader type had that amount of money, the proﬁts of the monopolist would be maximized?
Notice that the argument for is vector-valued, with at least a component for each type. controlling the rate of interest Instead of utilizing the quantity of money as its control variable, the bank could use the rate of interest. The traders’ optimization problems are then denoted by ρ and ¯ ρ , deﬁned in the obvious way. The bank then solves max (arg max ρ≥0 b,d ,q≥0 ρ , arg max ¯ ρ ). 10) The nonnegativity of ρ guarantees that the bank will not operate at a loss. the money supply or the interest rate?