Shapley value in cooperative working capital cost game for distributive supply network

Anastasiia Ivakina ; Egor Lapin ; Nikolay Zenkevich

Contributions to game theory and management, Tome 12 (2019), pp. 177-203.

Résumé

Working capital management (WCM) is increasingly recognized as important means of liquidity and profitability improvement (Talonpoika et al., 2016), specifically in terms of globalization and growing competition between supply chains. At the same time, rising financial risk in supply chains (SCs) stimulated management to recognize that the financial side of supply chain management (SCM) is a promising area for improvements. Nevertheless, companies still focus on their individual SC issues and take their own interests into account rather than understanding the whole SC and cooperating with their partners (Wuttke et al., 2016). We address this gap by developing cooperative game of working capital management aimed at minimizing total financial costs associated with each SC stage. The model is verified on the grounds of the combination of game-theoretical modeling and case study of Russian collaborative SC. The suggested model analyses working capital management process for 3-stage supply network. The focal network is a distributive supply network consisting of N suppliers, one distributor and M retailers connected through material, information and financial flows. The members of the network can form coalitions with the distributor. Each member's working capital position is constrained by liquidity and profitability requirements. As such, they face the need to control and manage financial costs associated with each stage. We construct cooperative working capital cost game. For this cooperative game we investigate Shapley value as an optimal imputation. Theoretical results are illustrated with the numeric example of a real-life supply network from ICT industry. The investigated model provides financial illustration for the motivation of SC partners to cooperate in order to simultaneously achieve target levels of working capital investments and improve individual financial performance through collaborative actions.

Détail

Keywords: working capital management, supply chain finance, cooperative game, cost imputation, nondominant cost imputation.

Bibliographie

[1] Akkermans H., Van Wassenhove L. N., “Supply Chain Tsunamis: Research on Low-Probability, High-Impact Disruptions”, Journal of Supply Chain Management, 54:1 (2018), 64–76 | DOI

[2] Barratt M., “Understanding the meaning of collaboration in the supply chain”, Supply Chain Management: An International Journal, 9:1 (2004), 30–42 | DOI

[3] Beamon B. M., “Supply chain design and analysis: Models and methods”, International Journal of Production Economics, 55:3 (1998), 281–294 | DOI

[4] Blackman I. D., Holland C., Westcott T., “Motorola's global financial supply chain strategy”, Supply Chain Management: An International Journal, 18:2 (2013), 132–147 | DOI

[5] Blome C., Paulraj A., Schuetz K., “Supply chain collaboration and sustainability: a profile deviation analysis”, International Journal of Operations and Production Management, 34:5 (2014), 639–663 | DOI

[6] Cachon G. P., Lariviere M. A., “Supply chain coordination with revenue-sharing contracts: strengths and limitations”, Management science, 51:1 (2005), 30–44 | DOI | Zbl

[7] Cao M., Zhang Q., “Supply chain collaboration: Impact on collaborative advantage and firm performance”, Journal of Operations Management, 29:3 (2011), 163–180 | DOI

[8] Chauhan G. S., Banerjee P., “Financial constraints and optimal working capital-evidence from an emerging market”, International Journal of Managerial Finance, 14:1 (2018), 37–53 | DOI

[9] Chen I. J., Paulraj A., “Towards a theory of supply chain management: the constructs and measurements”, Journal of Operations Management, 22:2 (2004), 119–150 | DOI

[10] Cherkasova V., Chadin V., “Working capital determinants in the concept of life cycle of the organization”, Journal of Corporate Finance Research, 9:2 (2015), 79–99

[11] Coyle J. J., Langley J. C., Novack R. A., Gibson B. J., Supply Chain Management: A Logistics Perspective, Ninth Edition, South-Western Cengage Learning, Mason, USA, 2013

[12] Deloof M., Does working capital management affect profitability of Belgian firms?, Journal of Business Finance and Accounting, 30:3–4 (2003), 573–587 | DOI

[13] Enqvist J., Graham M., Nikkinen J., “The impact of working capital management on firm profitability in different business cycles: Evidence from Finland”, Research in International Business and Finance, 32 (2014), 36–49 | DOI

[14] Fairchild A., “Intelligent matching: integrating efficiencies in the financial supply chain”, Supply Chain Management: An International Journal, 10:4 (2005), 244–248 | DOI

[15] Fawcett S. E., Magnan G. M., “The rhetoric and reality of supply chain integration”, International Journal of Physical Distribution and Logistics Management, 32:5 (2002), 339 | DOI

[16] Fedorova E., Timofeev Y., “Standards of financial stability of Russian companies: industry-specific features”, Journal of Corporate Finance Research, 9:1 (2015), 38–47 | MR

[17] Filbeck G., Krueger T. M., “An analysis of working capital management results across industries”, American Journal of Business, 20:2 (2005), 11–20 | DOI

[18] Flynn B. B., Huo B., Zhao X., “The impact of supply chain integration on performance: A contingency and configuration approach”, Journal of Operations Management, 28:1 (2010), 58–71 | DOI

[19] Flynn B. B., Koufteros X., Lu G., “On theory in supply chain uncertainty and its implications for supply chain integration”, Journal of Supply Chain Management, 52:3 (2016), 3–27 | DOI

[20] Frohlich M. T., Westbrook R., “Arcs of integration: An international study of supply chain strategies”, Journal of Operations Management, 19:2 (2001), 185–200 | DOI | MR

[21] Gadde L.-E., Snehota I., “Making the Most of Supplier Relationships”, Industrial Marketing Management, 29:4 (2000), 305–316 | DOI

[22] Galaskiewicz J., “Studying supply chains from a social network perspective”, Journal of Supply Chain Management, 47:1 (2011), 4–8 | DOI

[23] Garanina T. A., Belova O. A., “Liquidity, cash conversion cycle and financial performance: case of Russian companies”, Investment Management and Financial Innovations, 12:1 (2015), 90–100

[24] Garanina T., Petrova O., “Relationship between liquidity, cash conversion cycle and returns of Russian companies”, Journal of Corporate Finance Research, 9:1 (2015), 5–21

[25] García-Teruel P. J., Martínez-Solano P., “Effects of Working Capital Management on SME Profitability”, International Journal of Managerial Finance, 3:2 (2007), 164–177 | DOI

[26] Gelsomino L. M., de Boer R., Steeman M., Perego A., “An optimisation strategy for concurrent Supply Chain Finance schemes”, Journal of Purchasing and Supply Management, 2018 | DOI

[27] Gelsomino L. M., Mangiaracina R., Perego A., Tumino A., “Supply chain finance: a literature review”, International Journal of Physical Distribution Logistics Management, 46:4 (2016), 348–366 | DOI

[28] Gunasekaran A., Patel C., McGaughey R. E., “A framework for supply chain performance measurement”, International Journal of Production Economics, 87:3 (2004), 333–347 | DOI

[29] Gupta S., Dutta K., “Modeling of financial supply chain”, European Journal of Operational Research, 211:1 (2011), 47–56 | DOI | MR | Zbl

[30] Håkansson H., Ford D., How should companies interact in business networks?, Journal of Business Research, 55 (2002), 133–139 | DOI

[31] Håkansson H., Snehota I., “No business is an island: The network concept of business strategy”, Scandinavian Journal of Management, 22 (2006), 256–270 | DOI

[32] Hendricks K. B., Singhal V. R., “The effect of supply chain glitches on shareholder wealth”, Journal of Operations Management, 21:5 (2003), 501–522 | DOI

[33] Hofmann E., Kotzab H., “A Supply Chain-Oriented Approach of Working Capital Management”, Journal of Business Logistics, 31:2 (2010), 305–330 | DOI | MR

[34] Hutchison P. D., Farris M. T. (II), Anders S. B., “Cash-to-cash analysis and management”, The CPA Journal, 77:8 (2007), 42

[35] Johnson M., Templar S., “The relationships between supply chain and firm performance: The development and testing of a unified proxy”, International Journal of Physical Distribution and Logistics Management, 41:2 (2011), 88–103 | DOI

[36] Jones M., Financial accounting, Wiley, 2006

[37] Kim S. W., “An investigation on the direct and indirect effect of supply chain integration on firm performance”, International Journal of Production Economics, 119:2 (2009), 328–346 | DOI

[38] Kirca A. H., Jayachandran S., Bearden W. O., “Market Orientation: A Meta-Analytic Review and Assessment of Its Antecedents and Impact on Performance”, Journal of Marketing, 69:2 (2005), 24–41 | DOI

[39] Kouvelis P., Chambers C., Wang H., “Supply Chain Management Research and Review, Trends, and Opportunities”, Production and Operations Management, 15:3 (2006), 449–469 | DOI | MR

[40] Kouvelis P., Zhao W., “Who should finance the supply chain? Impact of credit ratings on supply chain decisions”, Manufacturing Service Operations Management, 20:1 (2017), 19–35 | DOI

[41] Kroes J. R., Manikas A. S., “Cash flow management and manufacturing firm financial performance: A longitudinal perspective”, International Journal of Production Economics, 148 (2014), 37–50 | DOI

[42] Kunter M., “Coordination via cost and revenue sharing in manufacturer-retailer channels”, European Journal of Operational Research, 216:2 (2012), 477–486 | DOI | MR | Zbl

[43] Lazaridis I., Tryfonidis D., “Relationship between working capital management and profitability of listed companies in the Athens stock exchange”, Journal of Financial Management and Analysis, 19:1 (2006)

[44] Leng M., Parlar M., “Allocation of cost savings in a three-level supply chain with demand information sharing: A cooperative-game approach”, Operations Research, 57:1 (2009), 200–213 | DOI | Zbl

[45] Lind L., Pirttilä M., Viskari S., Schupp F., Kärri T., “Working capital management in the automotive industry: Financial value chain analysis”, Journal of purchasing and supply management, 18:2 (2012), 92–100 | DOI

[46] Malshe A., Agarwal M. K., “From Finance to Marketing: The Impact of Financial Leverage on Customer Satisfaction”, Journal of Marketing, 79, September (2015), 21–38 | DOI | MR

[47] Margolis J. T., Sullivan K. M., Mason S. J., Magagnotti M., “A multi-objective optimization model for designing resilient supply chain networks”, International Journal of Production Economics, 204 (2018), 174–185 | DOI

[48] Martin J., Hofmann E., “Involving financial service providers in supply chain finance practices: Company needs and service requirements”, Journal of Applied Accounting Research, 18:1 (2017), 42–62 | DOI

[49] Marttonen S., Monto S., Kärri T., “Profitable working capital management in industrial maintenance companies”, Journal of Quality in Maintenance Engineering, 19:4 (2013), 429–446 | DOI

[50] Matyac E., “Financial supply chain management”, Strategic Finance, 96:9 (2015), 62

[51] Noordhoff C. S., Kyriakopoulos K., Moorman C., Pauwels P., Dellaert B. G., “The bright side and dark side of embedded ties in business-to-business innovation”, Journal of Marketing, 75:5 (2011), 34–52 | DOI

[52] Paulraj A., Lado A. A., Chen I. J., “Inter-organizational communication as a relational competency: Antecedents and performance outcomes in collaborative buyer-supplier relationships”, Journal of Operations Management, 26:1 (2008), 45–64 | DOI

[53] Petrosyan L. A., Zenkevich N. A., Game Theory, World Scientific Publishing, 2016, 564 pp. | MR | Zbl

[54] Pirttilä M., Viskari S., Lind L., Kärri T., “Benchmarking working capital management in the inter-organisational context”, International Journal of Business Innovation and Research, 8:2 (2014), 119–136 | DOI

[55] Protopappa-Sieke M., Seifert R. W., “Benefits of working capital sharing in supply chains”, Journal of the Operational Research Society, 68:5 (2017), 521–532 | DOI

[56] Protopappa-Sieke M., Seifert R. W., “Interrelating operational and financial performance measurements in inventory control”, European Journal of Operational Research, 204:3 (2010), 439–448 | DOI | Zbl

[57] Ramdas K., Spekman R. E., “Chain or shackles: understanding what drives supply-chain performance”, Interfaces, 30:4 (2000), 3–21 | DOI

[58] Randall W. S., Theodore Farris M., “Supply chain financing: using cash-to-cash variables to strengthen the supply chain”, International Journal of Physical Distribution Logistics Management, 39:8 (2009), 669–689 | DOI

[59] Richards V. D., Laughlin E. J., “A cash conversion cycle approach to liquidity analysis”, Financial management, 9:1 (1980), 32–38 | DOI

[60] Rokkan, A. I., Heide, J. B., Wathne, K. H., “Specific Investments in Marketing Relationships: Expropriation and Bonding Effects”, Journal of Marketing Research, 40, May (2003), 210–224 | DOI

[61] Seggie S. H., Griffith D. A., Jap S. D., “Passive and active opportunism in interorganizational exchange”, Journal of Marketing, 77:6 (2013), 73–90 | DOI

[62] Shapley L. S., “A value for n-person games”, Contributions to the Theory of Games, 2(28) (1953), 307–317 | MR

[63] Shin H. H., Soenen L., “Efficiency of working capital management and corporate profitability”, Financial practice and education, 8 (1998), 37–45

[64] Silvestro R., Lustrato P., “Integrating financial and physical supply chains: the role of banks in enabling supply chain integration”, International Journal of Operations and Production Management, 34:3 (2014), 298–324 | DOI

[65] Simatupang T. M., Sridharan R., “The Collaborative Supply Chain”, The International Journal of Logistics Management, 13:1 (2002), 15–30 | DOI

[66] Song H., Yu K., Lu Q., “Financial service providers and banks' role in helping SMEs to access finance”, International Journal of Physical Distribution and Logistics Management, 48:1 (2018), 69–92 | DOI

[67] Stevens G., Johnson M., “Integrating the Supply Chain... 25 Years On”, International Journal of Physical Distribution and Logistics Management, 46:1 (2016), 1–30 | DOI | MR

[68] Talonpoika A. M., Kärri T., Pirttilä M., Monto S., “Defined strategies for financial working capital management”, International Journal of Managerial Finance, 12:3 (2016), 277–294 | DOI

[69] Talonpoika A. M., Monto S., Pirttilä M., Kärri T., “Modifying the cash conversion cycle: revealing concealed advance payments”, International Journal of Productivity and Performance Management, 63:3 (2014), 341–353 | DOI

[70] Vázquez X. H., Sartal A., Lozano-Lozano L. M., “Watch the working capital of tier-two suppliers: a financial perspective of supply chain collaboration in the automotive industry”, Supply Chain Management: An International Journal, 21:3 (2016), 321–333 | DOI

[71] Viskari S., Kärri T., “A cycle time model for analysing the efficiency of working capital management in a value chain”, International Journal of Business Performance and Supply Chain Modelling, 5:3 (2013), 221–238 | DOI

[72] Viskari S., Kärri T., “A model for working capital management in the inter-organisational context”, International Journal of Integrated Supply Management, 7:1–3 (2012), 61–79 | DOI

[73] Viskari S., Lind L., Kärri T., Schupp F., “Using working capital management to improve profitability in the value chain of automotive industry”, International Journal of Services and Operations Management, 13:1 (2012), 42–64 | DOI

[74] Viskari S., Pirttilä M., Kärri T., “Improving profitability by managing working capital in the value chain of pulp and paper industry”, International Journal of Managerial and Financial Accounting, 3:4 (2011), 348–366 | DOI

[75] Viskari S., Ruokola A., Pirttilä M., Kärri T., “Advanced model for working capital management: bridging theory and practice”, International Journal of Applied Management Science, 4:1 (2012), 1–17 | DOI

[76] Volkov D., Nikulin E., “Current State and Prospects for Research on Firm's Working Capital Management”, Journal of Corporate Finance Research, 6:3 (2012), 61–69

[77] Wuttke D. A., Blome C., Henke M., “Focusing the financial flow of supply chains: An empirical investigation of financial supply chain management”, International Journal of Production Economics, 145:2 (2013), 773–789 | DOI

[78] Xu X., Chen X., Jia F., Brown S., Gong Y., Xu Y., “Supply chain finance: A systematic literature review and bibliometric analysis”, International Journal of Production Economics, 204 (2018), 160–173 | DOI

[79] Yan N., He X., Liu Y., “Financing the capital-constrained supply chain with loss aversion: supplier finance vs. supplier investment”, Omega, 2018 | DOI | MR

[80] Yazdanfar D., Öhman P., “The impact of cash conversion cycle on firm profitability: An empirical study based on Swedish data”, International Journal of Managerial Finance, 10:4 (2014), 442–452 | DOI

[81] Ylä-Kujala A., Marttonen S., Kärri T., Sinkkonen T., Baglee D., “Inter-organisational asset management: linking an operational and a strategic view”, International Journal of Process Management and Benchmarking, 6:3 (2016), 366–385 | DOI

[82] Yousefi A., Pishvaee M. S., “A Fuzzy Optimization Approach to Integration of Physical and Financial Flows in a Global Supply Chain Under Exchange Rate Uncertainty”, International Journal of Fuzzy Systems, 20:8 (2018), 2415–2439 | DOI | MR