Unified Money Circulation Equation and an Analogical Explanation for Its Solvability
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Keywords

Equation of Exchange
Money Circulation
Budget Constraint.

How to Cite

MIURA, S. (2016). Unified Money Circulation Equation and an Analogical Explanation for Its Solvability. Journal of Economics Bibliography, 3(1), 28–37. https://doi.org/10.1453/jeb.v3i1.609

Abstract

Abstract. The equation of exchange is well-known as a quantitative expression of money circulation, but it has a defect in that the relation between the velocity of money and the situation of economic agents is not clear. This paper attempts to found the velocity which pays attention to movement of money. For that purpose, this paper shows a money circulation equation in which agents of the whole society are unified. If this equation has a unique solution, the velocity of money is reduced to the expenditure rate of the whole society. Thereby, the defect of the equation of exchange can be remedied. Our attempt can be interpreted as connecting the velocity of money with the multiplier analysis. Success or failure of the trial depends on its solvability. This solvability problem of the money circulation equation is closely related to the missing problems of the monetary budget constraint. This paper also attempts to explain the missing problems in the case of the budget constraint of the whole society. This paper explains that a time irreversible disposal solves those problems by using an analogy.

Keywords. Equation of exchange, Money circulation, Budget constraint.

JEL. C20, E10, E40.

https://doi.org/10.1453/jeb.v3i1.609
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References

Ackley, G. (1951). The multiplier time period: Money, inventories, and flexibility. The AmericanEconomic Review, 41(3), 350-368.

Anderson, C.J. (1945).The basic similarity of the monetary and investment theories of secondary employment.American Journal of Economics and Sociology, 4(2), 203-211. doi. 10.1111/j.1536-7150.1945.tb01425.x

Archibald, G.C. (1956). Multiplier and velocity analysis: An annulment. Economica, 23(91), 265-269. doi. 10.2307/2551159

Ardor, H.N. (2002). The development of mathematical economics between 1711 and 1838. Ekonomik Yaklasim, 13(42-43), 139-157. doi. 10.5455/ey.10354

Augustinovics, M. (1965). A model of money-circulation.Economics of Planning, 5(3), 44-57. doi. 10.1007/BF02424905

Cottrell, A. (1994). Endogenous money and the multiplier.Journal of Post Keynesian Economics, 17, 111-120.

Dalziel, P. (1996). The Keynesian multiplier, liquidity preference, and endogenous money. Journal of Post Keynesian Economics, 18(3), 311-331. doi. 10.1080/01603477.1996.11490075

Davies, P. (2002). How to build a time machine. London: Penguin.

Deane, P. (1968). International encyclopedia of the social science, Petty, William. In D.L. Sills (Ed.), (Vol. 12, pp. 66-68). New York: Crowell Collier and Macmillan Inc.

Fisher, I. (1922). The purchasing power of money, Newand revised edition. New York: The Macmillan Company.

Gechert, S. (2014). On the measurement, theory and estimation of fiscal multipliers: A contribution to improve the forecasting precisisonregarding the impact of fiscal impulses. Dr. rer. pol. dissertation, TechnischeUniversität Chemnitz.

Goodwin R.M. (1950).The multiplier. In Harris, S.E.(Ed.), The new economics: Keynes’ influence on theory and public policy (pp. 482-499). New York: Alfred A. Knopf.

Gott, J.R. (2002). Time travel in Einstein’s universe: The physical possibilities of travel through time. London: Phoenix.

Holtrop, M.W. (1929). Theories of the velocity of circulation of money in earlier economic literature. Economic History, 4, 503-524.

Humphrey, T.M. (1984). Algebraic quantity equations before Fisher and Pigou.FRB Richmond Economic Review, 70, 13-22.

Humphrey, T.M. (1993). The origin of velocity functions. FRB Richmond Economic Quarterly, 79, 1-17.

Kahn, R. (1936). Dr. Neisser on secondary employment: A note. Review of Economic Statistics, 18(3), 144-147. doi. 10.2307/1927840

Lossev, A., &Novikov, I.D. (1992). The jinn of the time machine: Non-trivial self-consistent solutions. Classical and Quantum Gravity, 9(10), 2309-2321. doi. 10.1088/0264-9381/9/10/014

Lutz, V. (1955). Multiplier and velocity analysis: A marriage. Economica, 22(85), 29-44. doi. 10.2307/2551727

Machlup, F. (1939).Period analysis and multiplier theory.Quarterly Journal of Economics, 54(1), 1-27. doi. 10.2307/1882485

Mayor, T. (1964). Multiplier and velocityanalysis: An evaluation. Journal of Political Economy, 72, 563-574.

Miller, W.L. (1956).The multiplier time period and the income velocity of active money.Southern Economic Journal, 23(1), 74-79. doi. 10.2307/1053619

Miura, S. (2014a).Solvability of the economic input-output equation by time irreversibility.Advances in Linear Algebra & Matrix Theory, 4, 143-155. doi. 10.4236/alamt.2014.43013

Miura, S. (2014b). Money circulation equation considering time irreversibility.Advances in Linear Algebra & Matrix Theory, 4(4), 187-200. doi. 10.4236/alamt.2014.44016

Miura, S. (2015a). Quantification of revenue induction and expenditure reflux in a monetary economy. Advances in Linear Algebra & Matrix Theory, 5(1), 25-35. doi. 10.4236/alamt.2015.51003

Miura, S. (2015b). Monetary budget constraint and its missing problems.Open Journal of Optimization, 4(3), 87-99. doi. 10.4236/ojop.2015.43011

Moore, B.J. (1988). Horizontalists and verticalists: The macroeconomics of credit money. Cambridge: Cambridge University Press.

Moore, B.J. (1994). The demise of the Keynesian multiplier: A reply to Cottrell. Journal of Post Keynesian Economics, 17, 121-133.

Moore, B.J. (2008). The demise of the Keynesian multiplier revisited. InC. Gnos,&L. Rochon (Eds.), The Keynesian Multiplier pp. 120-126. London: Routledge.

Neisser, H.P. (1936). Secondary employment: Some comments on R.F. Kahn’s formula. Review of Economic Statistics, 18(1), 24-30. doi. 10.2307/1927550

Nemiroff, R.,& Wilson, T. (2014). Searching the internet for evidence of time travelers. The Winnower, 3:e140984.46096. doi. 10.15200/winn.140984.46096

Newcomb, S. (1966). Principles of political economy. A.M. Kelley, New York.

Pigou, A.C. (1952). The value of money. In a Committee of the American Economic Association (Selected), Readings in Monetary Theory (pp. 162-183). London: G. Allen and Unwin.

Roncaglia, A. (2008). Petty, William (1623-1687). In S.N. Durlauf, &L.E. Blume (Eds.), The New Palgrave Dictionary of Economics,Second Edition, Vol. 6, pp. 389-392. New York: Palgrave Macmillan. doi. 10.1057/9780230226203.1278

Samuelson, P.A. (1942). Fiscal policy and income determination. Quarterly Journal of Economics, 56, 575-605.

Theocharis, R.D. (1958). Joseph Lang and macroeconomics. Economica, 25, 319-325.

Theocharis, R.D. (1983). Early developments in mathematical economics, Second Edition. London: The Macmillan Press.

Tsiang, S.C. (1956). Liquidity preference and loanable funds theories, multiplier andvelocity analyses: A synthesis. The American Economic Review, 46(4), 539-564.

Turvey, R. (1948). The multiplier. Economica, 15(60), 259-269. doi. 10.2307/2549563

Uebe, G. (1992). The first flow of funds table: Lang’s tableau of 1815. History of Political Economy, 24(2), 435-453. doi. 10.1215/00182702-24-2-435

Uebe, G. (1992). The model of Lang: National income accounts in 1807. Computers & Mathematics with Applications, 24(8-9), 167-179. doi. 10.1016/0898-1221(92)90196-O

Wang, Y., Xu, Y.,& Liu, L. (2010).Keynesian multiplier versus velocity of money.Physics Procedia, 3(5), 1707-1712. doi. 10.1016/j.phpro.2010.07.009

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