Serial Cost Allocation in the Cooperative Purchasing Organization

Expand
  • (1. Antai College of Economics and Management, Shanghai Jiaotong University, Shanghai 200052, China; 2. China College of Economic Administration of China University of Petroleum (East China), Qingdao 266580, Shandong, China; 3. School of Mathematical Sciences, Fudan University, Shanghai 200433, China)

Online published: 2013-12-18

Abstract

Under the seller’s quantity discount, buyers self-organize or rely on a third party to aggregate their purchasing quantities to obtain lower prices. Because of the unequal member contributions in the cooperative purchasing organization, the buyers’ strategy is different, the members often fluctuate, and the organizations do not sustain themselves. An effective mechanism is necessary to improve the performance of purchasing groups. We study the various forms of cost allocation mechanism in practice. Different allocation rules may have influence on the buyers’ behavior (i.e., purchasing quantities, whether joining the organization or not). We analyze the serial cost allocation and equilibrium purchasing quantity based on a Nash equilibrium, and the results show that each buyer is worse off when not participating in the existence buying organization of the other buyers. We further find that the serial mechanism just confirms the most efficient Nash equilibrium: reasonable cost allocation rule is necessary for the subjects to identify their optimal strategy.

Cite this article

ZHANG Tao1,2* (张 涛), GU Tian-zhou3 (顾天舟), Song Xin-shuai1 (宋昕帅), GU Feng1 (顾 锋) . Serial Cost Allocation in the Cooperative Purchasing Organization[J]. Journal of Shanghai Jiaotong University(Science), 2013 , 18(6) : 749 -755 . DOI: 10.1007/s12204-013-1461-7

References

[1] Anand K S, Aran R. Group buying on the Web: A comparison of price-discovery mechanisms [J]. Management Science, 2003, 49(11): 1546-1562.
[2] Shenker S. Making greed work in networks: A game-theoretic analysis of gateway service disciplines [C]//The 1990 ACM SIGMETRICS Conference on Measurement and Modeling of Computer Systems.Boulder, Colorado, USA : ACM, 1990: 241-242.
[3] Moulin H, Shenker S. Serial cost sharing [J].Econometica, 1992, 60(5): 1009-1037.
[4] Deb R, Razzolini L. Voluntary cost sharing for an excludable public project [J]. Mathmatics Social Sciences, 1999, 37: 123-138.
[5] Deb R, Razzolini L. Auction-like mechanisms for pricing excludable public goods [J]. Journal of Economics Theory, 1999, 88: 340-368.
[6] Chen R R, Yin S. The equivalence of uniform and Shapley value-based cost allocations in a specific game [J]. Operations Research Letters, 2010, 38(6): 539-544.
[7] Chen Y A. An experimental study of serial and average cost pricing mechanisms [J]. Jouanal of Public Economics, 2003, 87: 2305-2335.
[8] Chen Y A, Razzolini L, Turocy T L. Congestion allocation for distributed networks: An experimental study [J]. Economics Theory, 2007, 33(1): 121-143.
[9] Gerchak Y, Gupta D. On apportioning costs to customers in centralized continuous review systems [J].Journal of Operations Management, 1991, 10(4): 546-551.
[10] Robinson L. A comment on Gerchak and Gupta’s “on apportioning costs to customers in centralized continuous review systems” [J]. Journal of Operations Management,1993, 11(1): 99-102.
[11] Chen X, Zhang J. A stochastic programming duality approach to inventory centralization games [J]. Operations Research, 2009, 57(4): 840-851.
[12] Chen X. Inventory centralization games with pricedependent demand and quantity discount [J]. Operations Research, 2009, 57(6): 1394-1406.
[13] Li C H, Chawla S, Rajan U, et al. Mechanism design for coalition formation and cost sharing in groupbuying markets [J]. Electronic Commerce Research and Applications, 2004, 3(4): 341-354.
[14] Chen J, Kauffman R J, Liu Y H, et al. Segmenting uncertain demand in group-buying auctions [J].Electronic Commerce Research and Applications, 2010,9(2): 126-147.
[15] Bhaskaran S R, Krishnan V. Effort, revenue, and cost sharing mechanisms for collaborative new product development [J]. Management Science, 2009, 55(7): 1-18.
[16] Chao G H, Iravani S M R, Savaskan R C. Quality improvement incentives and product recall cost sharing contracts [J]. Management Science, 2009, 55(7): 1122-1138.
[17] Jeuland A P, Shugan S M. Managing channel profits [J]. Management Science, 1983, 2(3): 239-272.
[18] Cachon G P, Lariviere M A. Supply chain coordination with revenue sharing contracts: Strengths and limitations [J]. Management Science, 2005, 51(1): 30-44.
[19] Li C H, Sycara K, Scheller-Wolf A. Combinatorial coalition formation for multi-item group-buying with heterogeneous customers [J]. Decision Support Systems, 2010, 49(1): 1-13.
[20] Chen J, Chen X H, Kauffman R J, et al. Should we collude? Analyzing the benefits of bidder cooperation in online group-buying auctions [J]. Electronic Commerce Research and Applications, 2009, 8(4): 191-202.
[21] Chen R R, Roma P. Group buying of competing retailers [J]. Production. and Operations Management,2011, 20(2): 181-197.
[22] Yamamoto J, Sycara K. A stable and ffficient buyer coalition formation scheme for e-marketplaces [C]//Proceedings of the Fifth International Conference on Autonomous Agents. Montreal, Canada: ACM, 2001:576-583.
[23] Chipty T. Horizontal integration for bargaining power: Evidence from the cable television industry [J].Journal of Economics & Management Strategy, 1995,4(2): 375-397.
[24] Dana J D. Buyer groups as strategic commitment [J].Games and Economics Behavior, 2012, 74: 470-485.
[25] Horn H, Wolinsky A. Bilateral monopolies and incentives for merger [J]. RAND Journal of Economics,1988, 19(3): 408-419.
[26] Inderst R, Wey C. Bargaining, mergers, and technology choice in bilaterally oligopolistic industries [J].RAND Journal of Economics, 2003, 34(1): 1-19.
[27] Marvel H P, Yang H. Group purchasing, nonlinear tariffs and oligopoly [J]. International Journal of Industrial Organization, 2008, 26(5): 1090-1105.
[28] Kalai E, Samet D. On weighted Shapley value [J].International Journal of Game Theory, 1987, 16(3):205-222.
[29] Owen G. Multi-linear extensions of games [J]. Management Science, 1972: 18(5): 64-79.
[30] Haeringer G. A new weight scheme for the Shapley value [J]. Mathmatics Social Sciences, 2006, 52(1): 88-98.

Options
Outlines

/