By Prof. Dr. Hanjiro Haga (auth.)
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Extra resources for A Disequilibrium-Equilibrium Model with Money and Bonds: A Keynesian-Walrasian Synthesis
Large enough to include Tkt within its interior EOt· This is k possible because of the boundedness of Tt • Also. • T. • T-l. Let E denote the Cartesian product Eo x Eo x EI x EI x EZ x EZ x and let Nk denote the Cartesian product Qk x RI x RI x Qk x RI x RI x QkZ x RI x RI x o + I + + Qk x ••••• x Qk. 3 T Moreover. let EO denote the interior of E. (8. ••• \1. • \1. Then: k k-k Let. ••• T. • T-l. 56 Next. 2 ••••• T. 2 ••••• T. Remark II. A~ is compact and strictly convex. l ••••• T). A~ is compact and convex.
Pp. 277-280, and Nikaido , pp. 258-260. 65. Cf. footnote 40. La)' (1) _ Ki pi h. · nce xi0,0 E L0,0' ii i xl Ei Dl and since Pl,l depends upon PES where S is iand i i i compact, xo,o -Kl,lPl,lxl,l in the left-hand side have upper bounds. 3 that i Accordingly, xo,n+l i pi ) . S (i=1,2, ••• , h) cannot be - 00. Also, we can easily find a lower bound of i ' W xo,n+l which is independent of the expected prices which depend on PES. 66. 67. Cf. pp. 39-40 above. P = (P o ,1'P o • 2 ' ••• , Po,n+l'~) is often considered to be a set of inde- pendent variables.
2 • That is. all the firms adopt a dividend policy such that the dividend of each period should be non-negative. 3 In the O-th period. • negative. k depends on the prices goods exist as endowments from heaven; bUL this is unwarranted in the present context. because our model. containing production. is different from a pure exchange economy. Therefore. 6. 6 is. however. rather awkward if the firm holds fixed capital goods. Thus we assume away the problem of fixed capital goods for the sake of simplicity.
A Disequilibrium-Equilibrium Model with Money and Bonds: A Keynesian-Walrasian Synthesis by Prof. Dr. Hanjiro Haga (auth.)