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Abstrakty
This paper analyzes and proposes a solution to the transfer pricing problem from the point of view of the Nash bargaining game theory approach. We consider a firm consisting of several divisions with sequential transfers, in which central management provides a transfer price decision that enables maximization of operating profits. Price transferring between divisions is negotiable throughout the bargaining approach. Initially, we consider a disagreement point (status quo) between the divisions of the firm, which plays the role of a deterrent. We propose a framework and a method based on the Nash equilibrium approach for computing the disagreement point. Then, we introduce a bargaining solution, which is a single-valued function that selects an outcome from the feasible pay-offs for each bargaining problem that is a result of cooperation of the divisions of the firm involved in the transfer pricing problem. The agreement reached by the divisions in the game is the most preferred alternative within the set of feasible outcomes, which produces a profit-maximizing allocation of the transfer price between divisions. For computing the bargaining solution, we propose an optimization method. An example illustrating the usefulness of the method is presented.
Rocznik
Tom
Strony
853--864
Opis fizyczny
Bibliogr. 53 poz., rys., wykr.
Twórcy
autor
- School of Physics and Mathematics, National Polytechnic Institute, Luis Enrique Erro S/N, San Pedro Zacatenco, Del. Gustavo A. Madero, 07738 Mexico City, Mexico
autor
- Department of Control Automatics, Center for Research and Advanced Studies, Av. IPN 2508, Col. San Pedro Zacatenco, 07360 Mexico City, Mexico
Bibliografia
- [1] Abdel-Khalik, A. and Lusk, E. (1974). Transfer pricing a synthesis, Accounting Review 49(1): 8–23.
- [2] Alm, J. (2012). Measuring, explaining, and controlling tax evasion: Lessons from theory, experiments, and field studies, International Tax and Public Finance 19(1): 54–77.
- [3] Amershi, A. and Cheng, P. (1990). Intrafirm resource allocation: The economics of transfer pricing and cost allocations in accounting, Contemporary Accounting Research 7(1): 61–99.
- [4] Arrow, K.J. (1959). Optimization, decentralization, and internal pricing in business firms, Contributions to Scientific Research in Management, Western Data Processing Center, UCLA, Los Angeles, CA, pp. 9–18.
- [5] Baldenius, T., Reichelstein, S. and Sahay, S. (1999). Negotiated versus cost-based-transfer pricing, Review of Accounting Studies 4(2): 67–91.
- [6] Baumol, W.J. and Fabian, T. (1964). Decomposition, pricing for decentralization and external economies, Management Science 11(1): 1–32.
- [7] Beer, S. and Loeprick, J. (2015). Profit shifting: Drivers of transfer (mis)pricing and the potential countermeasures, International Tax and Public Finance 22(3): 426–451.
- [8] Besanko, D. and Sibley, D.S. (1991). Compensation and transfer pricing in a principal-agent model, International Economic Review 32(1): 55–68.
- [9] Blois, K.J. (1978). Pricing of supplies by large customers, Journal of Business Finance & Accounting (3): 367–379.
- [10] Burton, R.M., Damon, W.W. and Loughrid, D.W. (1974). The economics of decomposition: Re-source allocation vs. transfer pricing, Decision Sciences 5(3): 297–310.
- [11] Chalos, P. and Haka, S. (1990). Transfer pricing under bilateral bargaining, The Accounting Review 65(3): 624–641.
- [12] Chwolka, A., Martini, J.T. and Simons, D. (2010). The value of negotiating cost-based transfer prices, BuR—Business Research 3(2): 113–131.
- [13] Clempner, J.B. (2016). Necessary and sufficient Karush–Kuhn–Tucker conditions for multiobjective Markov chains optimality, Automatica 71: 135–142.
- [14] Clempner, J.B. and Poznyak, A.S. (2011). Convergence method, properties and computational complexity for Lyapunov games, International Journal of Applied Mathematics and Computer Science 21(2): 349–361, DOI: 10.2478/v10006-011-0026-x.
- [15] Clempner, J.B. and Poznyak, A.S. (2015). Computing the strong Nash equilibrium for Markov chains games, Applied Mathematics and Computation 265: 911–927.
- [16] Clempner, J.B. and Poznyak, A.S. (2016). Convergence analysis for pure and stationary strategies in repeated potential games: Nash, Lyapunov and correlated equilibria, Expert Systems with Applications 46: 474–484.
- [17] Clempner, J.B. and Poznyak, A.S. (2017). Multiobjective Markov chains optimization problem with strong Pareto frontier: Principles of decision making, Expert Systems with Applications 68: 123–135.
- [18] Dearden, J. (1973). Cast Accounting and Financial Control Systems, Addison Wesley, Reno, NV.
- [19] Devereux, M. (2007). The impact of taxation on the location of capital, firms and profit: A survey of empirical evidence, Working paper, No. 702, Oxford University Centre for Business Taxation, Oxford.
- [20] Edlin, A.S. and Reichelstein, S. (1995). Specific investment under negotiated transfer pricing: An efficiency result, Accounting Review 70(2): 275–291.
- [21] Enzer, H. (1975). The static theory of transfer pricing, Naval Research Logistics Quarterly 22(2): 375–389.
- [22] Forgó, F., Szép, J. and Szidarovszky, F. (1999). Introduction to the Theory of Games: Concepts, Methods, Applications, Springer US, New York, NY.
- [23] Fredrickson, J.W. (1986). The strategic decision process and organizational structure, Academy of Management Review 11(2): 280–297.
- [24] Ghosh, P., Roy, N., Das, S.K. and Basu, K. (2004). A game theory based pricing strategy for job allocation in mobile grids, Proceedings of the 18th International Parallel and Distributed Processing Symposium, Santa Fe, NM, USA, pp. 82–92.
- [25] Grabski, S.V. (1982). Transfer pricing in complex organizations: A review and integration of recent empirical and analytical research, in C. Emmanuel et al. (Eds.), Readings in Accounting for Management Control, Springer, New York, NY, pp. 453–495.
- [26] Haake, C.J. and Martini, J.T. (2013). Negotiating transfer prices, Group Decision and Negotiation 22(4): 657–680.
- [27] Henderson, B.D. and Dearden, J. (1966). New system for divisional control, Harvard Business Review 44(5): 144–146.
- [28] Hirshleifer, J. (1956). On the economics of transfer pricing, Journal of Business 29(3): 172–184.
- [29] Hirshleifer, J. (1957). Economics of the divisionalized firm, The Journal of Business 30(2): 96–108.
- [30] Jennergren, L.P. (1977). The static theory of transfer pricing, Naval Research Logistics Quarterly 24(2): 373–376.
- [31] Johnson, N. (2006). Divisional performance measurement and transfer pricing for intangible assets, Review of Accounting Studies 11(2/3): 339–365.
- [32] Kalai, E. and Smorodinsky, M. (1975). Other solutions to Nash’s bargaining problem, Econometrica 43(3): 513–518.
- [33] Kanodia, C. (1979). Risk sharing and transfer price systems under uncertainty, Journal of Accounting Research 17(1): 74–75.
- [34] Karpowicz, M.P. (2012). Nash equilibrium design and price-based coordination in hierarchical systems, International Journal of Applied Mathematics and Computer Science 22(4): 951–969, DOI: 10.2478/v10006-012-0071-0.
- [35] Leng, M. and Parlarb, M. (2012). Transfer pricing in a multidivisional firm: A cooperative game analysis, Operations Research Letters 40(5): 364–369.
- [36] Markides, C.C. and Williamson, P.J. (1996). Corporate diversification and organizational structure: A resource-based view, Academy of Management Journal 39(2): 340–367.
- [37] McAulay, L., Scrace, A. and Tomkins, C. (2001). Transferring priorities: A three-act play on transfer pricing, Critical Perspectives on Accounting 12(1): 87–113.
- [38] Nash, J.F. (1950). The bargaining problem, Econometrica 18(2): 155–162.
- [39] OECD (2010). OECD Transfer Pricing Guidelines for Multinational Enterprises and Tax Administrations 2010, OECD Publishing, Paris.
- [40] Poznyak, A.S. (2008). Advanced Mathematical Tools for Automatic Control Engineers. Deterministic Technique, Vol. 1, Elsevier, Amsterdam/Oxford.
- [41] Ronen, J. and Balachandran, K.R. (1988). An approach to transfer pricing under uncertainty, Journal of Accounting Research 26(2): 300–314.
- [42] Rosenthal, E.C. (2008). A game theoretic approach to transfer pricing in a vertically integrated supply chain, International Journal of Production Economics 115: 542–552.
- [43] Shtessel, Y. (1996). Principle of proportional damages in multiple criteria LQR problem, IEEE Transactions on Automatic Control 41(3): 461–464.
- [44] Tanaka, K. (1989). The closest solution to the shadow minimum of a cooperative dynamic game, Computers & Mathematics with Applications 18(1–3): 181–188.
- [45] Tanaka, K. and Yokoyama, K. (1991). On ε-equilibrium point in a noncooperative n-person game, Journal of Mathematical Analysis and Applications 160(2): 413–423.
- [46] Thomas, A. (1980). A behavioral analysis of joint cost allocation and transfer pricing, Technical report, Artbur Andersen & Co. Lecture Series 1977, Stipes Publishing Company, Champaign, IL.
- [47] Trejo, K.K. and Clempner, J.B. (2018). New Perspectives and Applications of Modern Control Theory: In Honor of Alexander S. Poznyak, Springer International Publishing, Cham, (to appear).
- [48] Trejo, K.K., Clempner, J.B. and Poznyak, A.S. (2015). Computing the Stackelberg/Nash equilibria using the extraproximal method: Convergence analysis and implementation details for Markov chains games, International Journal of Applied Mathematics and Computer Science 25(2): 337–351, DOI: 10.1515/amcs-2015-0019.
- [49] Trejo, K.K., Clempner, J.B. and Poznyak, A.S. (2017). Nash bargaining equilibria for controllable Markov chains games, 20th World Congress of the International Federation of Automatic Control (IFAC), Toulouse, France, pp. 12772–12777.
- [50] Vaysman, I. (1998). A model of negotiated transfer pricing, Journal of Accounting and Economics 25(3): 349–384.
- [51] Wahab, O.A., Bentahar, J., Otrok, H. and Mourad, A. (2016). A Stackelberg game for distributed formation of business-driven services communities, Expert Systems with Applications 45(1): 359–372.
- [52] Watson, D.J.H. and Baumler, J.V. (1975). Transfer pricing: A behavioral context, The Accounting Review 50(3): 466–574.
- [53] Wielenberg, S. (2000). Negotiated transfer pricing, specific investment, and optimal capacity choice, Review of Accounting Studies 5(3): 197–216.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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