BGlo  >> Vol. 4 No. 4 (October 2016)

    The Symmetry of a Firm’s Equilibrium in the Markets for Product and Factors of Production: A Geometric Exposition

  • 全文下载: PDF(2408KB) HTML   XML   PP.116-126   DOI: 10.12677/BGlo.2016.44016  
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林炳文:苏州大学东吴商学院,江苏 苏州

总生产收入(TRP)总投入成本(TIC)人均总生产收入人均总投入成本技术进步Total Revenue Product (TRP) Total Input Cost (TIC) Per Capita Total Revenue Product Per Capita Total Input Cost Technical Progress



This paper focuses on the unity and interdependence of the various economic forces. I apply geo-metric approach to analyze the symmetry of a firm’s short run equilibrium in product and factor markets and obtain that it has symmetry no matter if the market for product and factors of pro-duction is in perfect or imperfect competition. Base on the per capita capital concept in the growth theory, this paper attempts to apply the 4-quadrant diagram to expound the symmetry of a firm’s long run equilibrium in both product and factor markets. I further discuss the impact of a firm’s technical progress on the optimal per capita capital and per capita output. In order to exploit the dual role of the firm in the product and factor markets of the production process, the geometric figures help to analyze the firm’s optimal production decision in the short and long run equilibrium to achieve profit maximization and cost minimization. It seems that the geometric exposition is quite complicated. Undoubtedly, the above creative and innovative description is a very interesting supplementary reference to the general textbooks in the related field.

林炳文. 论厂商在货品与要素市场均衡的对称性[J]. 商业全球化, 2016, 4(4): 116-126.


[1] Samuelson, P.A. (1947) Foundations of Economic Analysis. Harvard University Press, Cambridge, MA.
[2] Lerner, A.P. (1944) The Economics of Control. Macmillan, New York.
[3] Hicks, J.R. (1946) Value and Capital. 2nd Edition, Clarendon Press, Oxford.
[4] Siebert, W.S. and Addison, J.T. (1981) A Geometric Derivation of the Firm’s Input Decision. Australian Economic Papers, 20, 142-149.
[5] Hirshleifer, J. (1962) An Exposition of the Equilibrium of the Firm: Symmetry between Product and Factor Analyses. Economica, 29, 263-268.
[6] Bassett, L.R. and Brocherding, T.E. (1970) The Firm, the Industry, and the Long-Run Demand for Factors of Production. Canadian Journal of Economics, 3, 140-144.
[7] Bassett, L.R. and Brocherding, T.E. (1970) The Relationship between Firm Size and Factor Price. Quarterly Journal of Economics, 84, 518-522.
[8] Bassett, L.R. and Brocherding, T.E. (1970) Industry Factor Demand. Western Economic Journal, 8, 259-261.
[9] Silberberg, E. and Ellis, G.M. (2007) Principles of Microeconomics. 5th Edition, Pearson Learning Solutions, Upper Saddle River, New Jersey.
[10] Boulding, K.E. (1966) Economic Analysis: Microeconomics. Harper & Row, Publishers, New York.