Nonlinear and chaotic patterns in Japanese video game console sales and consequences for management control

Bonache, Adrien and Moris, Karen (2009): Nonlinear and chaotic patterns in Japanese video game console sales and consequences for management control. Unpublished.

Abstract

This paper investigates the behaviour of weekly hardware sales in the Japanese video game sector. It is found that weekly hardware sales exhibit significant linear and non-linear behaviours during the product cycle. We are going to analyse the implications of our findings for management control in the video game sector.

• Item Type: MPRA Paper
• Language: English
• Keywords: forecasting, marketing, time series, systems dynamics, chaos theory
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; M - Business Administration and Business Economics; Marketing; Accounting > M3 - Marketing and Advertising > M30 - General; M - Business Administration and Business Economics; Marketing; Accounting > M4 - Accounting and Auditing > M40 - General

References

Brock W, Dechert WD, Scheinkman J. A test for independence based on the correlation dimension. University of Wisconsin 1987. Economics Working Paper SSRI-8702.

Carslaw C. Anomalies in income numbers: Evidence of goal-oriented behavior. The Accounting Review 1988; 63; 321-327.

Cheng YT, Van de Ven AH. Learning the innovation journey: order out of chaos? Organization Science 1996;7; 593-614.

Dosi G, Metcalfe JS. On Some Notions of Irreversibility in Economics' in Evolutionary Theories of Economic and Technological Change. In: Saviotti P, Metcalfe JS (eds.), Evolutionary theories of economic and technological change: present status and future prospects, Harwood, 1991, p.133-159.

Feichtinger G, Prskawetz A, Herold W, Zinner P. Habit formation with threshold adjustment: addiction may imply complex dynamics. Journal of Evolutionary Economics 1995; 5; 157-172.

Granovetter M, Soong R. Threshold models of interpersonal effects in consumer demand. Journal of Economic Behavior and Organization 1986; 7; 83-99.

Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica D 1983; 9; 189-208.

Guégan D. Les chaos en finance: approche statistique (Statistique mathématique et probabilité). Economica; 2003.

Harris RDF, Küçüközmen C. Linear and nonlinear dependence in Turkish equity returns and its consequences for financial risk management. European Journal of Operational Research 2000; 134; 481-492.

Hsieh DA. Chaos and nonlinear dynamics: application to financial markets. Journal of Finance 1991; 46; 1839-1877.

Kaplan DT, Glass L. Direct test for determinism in a time series. Physical Review Letters 1992; 68; 427-430.

Kennel MB, Brown R, Abarbanel HDI. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Physical Review A 1992; 45; 3403-3411.

Kinnunen J, Koskela M. Who is Miss World in cosmetic earnings management? A cross-national comparison of small upward rounding of net income numbers among eighteen countries. Journal of International Accounting Research 2002; 2; 39-68.

Kopel M, Dawid H, Feichtinger G. Periodic and chaotic programs of intertemporal optimization models with non-concave net benefit function. Journal of Economic Behavior and Organization 1998; 33(4); 435-447.

Kopel M, Westerhoff F, Wieland C. Regulating complex dynamics in firms and economic systems. Chaos, Solitons and Fractals 2008; 38(3); 911-919.

Lin K. The ABC's of BDS. Journal of Computational Intelligence in Finance 1997; 5; 23-26.

Liu HF, Dai ZH, Li WF Gong X, Yu ZH. Noise robust estimates of the largest Lyapunov exponent. Physics Letters A 2005; 341; 119-127.

Miller CM, McIntyre SH, Mantrala MK. Toward formalizing fashion theory. Journal of Marketing Research 1993; 30; 142-157

Nakayama S, Nakamura Y. A fashion model with social interaction. Physica A: Statistical Mechanics and its Applications 2004; 337; 625-634.

Niskanen J, Keloharju M. Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review 2000; 9; 443-452.

Rosenstein MT, Collins JJ, De Luca CJ. A practical method for calculating largest Lyapunov exponents from small data sets. Physica. D 1993; 65; 117-134.

Scheinkman JA, Lebaron B. Nonlinear dynamics and stock returns, Journal of Business 1989; 62; 311-337.

Schreiber T, Schmitz A. Improved surrogate data for nonlinearity tests. Physical Review Letters 1996; 77; 635-638.

Schreiber T, Schmitz A. Discrimination power of measures for nonlinearity in a time series. Physical Review E 1997; 55; 5443-5447.

Shinbrot T, Ott E, Grebogi C, Yorke JA. « Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system ». Physical review letters 1992; 68(19); 2863-2866.

Shinbrot T, Ott E, Grebogi C, Yorke JA. Using chaos to direct orbits to targets in systems describable by a one-dimensional map. Physical Review A 1992; 4165-4168.

Shinbrot T, Ott E, Grebogi C, Yorke JA. Using small perturbations to control chaos. Nature 1993; 363(6428); 411-417.

Shinbrot T, Ott E, Grebogi C, Yorke JA. Using chaos to direct trajectories to targets. Physical Review Letters 1990; 65(26); 3215-3218.

Skousen C, Guan L, Wetzel T. Anomalies and unusual patterns in reported earnings: Japanese managers round earnings, Journal of International Financial Management and Accounting 2004; 15; 212-234.

Takala K, Virén M. Chaos and nonlinear dynamics in financial and nonfinancial time series: Evidence from Finland. European Journal of Operational Research 1996; 93; 155-172.

Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD. Testing for nonlinearity in time series: the method of surrogate data, Physica D: Nonlinear Phenomena 1992; 58; 77-94.

Theiler J, Prichard D. Constrained-realization Monte-Carlo method for hypothesis testing. Physica D: Nonlinear Phenomena 1996; 94; 221-235.

Thiétart R A, Forgues B. Action, structure and chaos. Organization Studies 1997; 18; 119-143

Thomas J. Unusual patterns in reported earnings. The Accounting Review 1989; 64; 773-787.

Tolle CR, Budzien JL, LaViolette RA. Do dynamical systems follow Benford’s law?. Chaos: An Interdisciplinary Journal of Nonlinear Science 2000; 10; 331-336.

Van Caneghem T. The impact of audit quality on earnings rounding-up behaviour: some UK evidence. European Accounting Review 2004; 13; 771-786.

Van der Heyden MJ, Diks C, Pijn JPM, Velis DN. Time reversibility of intracranial human EEG recordings in mesial temporal lobe epilepsy. Physics Letters A 1996; 216; 283-288.

Varian H. The benford law. The american statistician 1972; 26; 65-66.

Vialar T. Dynamiques non linéaires chaotiques en finance et économie. Economica; 2005.

Wolf A, Swift JB.,Swinney HL, Vastano JA. Determining Lyapunov exponents from a time series, Physica D 1985; 16; 285-317.