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Repeated game analysis of power suppliers based on dynamic coopetition process and slightly altruistic factor

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Abstract

In this paper, based on repeated game theory, the dynamic coopetition game model between power supply enterprises is established to analyze the long-term equilibrium from a more practical point of view. The slightly altruistic factor is used as a measurement of system cooperation degree, and the influence of the variation between slightly altruistic factor and discount rate is considered in the long-term dynamic equilibrium. The results show that only part of coopetition can find the feasible discount rate to maintain long-term equilibrium. The discount rate required by the identical altruistic relationship is relatively low and stable. The degree of altruistic difference between the two sides of the game decides the existence of the discount rate required for maintaining long-term dynamic equilibrium. This paper makes important generalization for the pre-existing equilibrium analysis method of power market and the general repeated game method, and has certain theoretical value and practical significance.

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References

  1. Yu D.Y., Jun, Liang, Han, X.S.: Generation cost analysis for power plants under the deregulated environment. In: Power System Technology, 2004 International Conference, pp. 21–24

  2. Wei, L.: Cost analysis and biding strategy for generation enterprises under electricity market. North China Electric Power University, Beijing (2010)

    Google Scholar 

  3. Zhongfu, T., Jinliang, Z.: Day-ahead electricity price forecasting based on multi-factor wavelet analysis and multivariate time series models. J. Chin. Electr. Eng. Sci. 30(1), 103–110 (2010)

    Google Scholar 

  4. Jiajia, D., Yuansheng, H.: Day-ahead electricity price forecasting using time series model based on nonparametric generalized auto regressive conditional heteroskedasticity. Power Syst. Technol. 36(4), 190–196 (2012)

    Google Scholar 

  5. Ying-yi, H., Chuan-fang, L.: A Neuron-fuzzy price forecasting approach in deregulated electricity markets. Electr. Power Syst. Res. 73(2), 151–157 (2005)

    Google Scholar 

  6. Qiyu, T., Maolin, Z.: Electricity price forecasting using wavelet neural networks optimized by GA. Proc. CSU-EPSA 23(3), 157–160 (2011)

    Google Scholar 

  7. Gaofeng, X., Peng, H., et al.: Application of time series decomposition to short-term electricity price analysis and forecasting. Proc. CSU-EPSA 23(3), 95–100 (2011)

    Google Scholar 

  8. Jinliang, Z., Zhongfu, T., et al.: Short term electricity price forecasting of combined chaotic method. Chin. J. Manag. Sci. 19(2), 133–139 (2011)

    Google Scholar 

  9. Soleymani, S., Ranjba, A.M., Shirani, A.R.: New approach to bidding strategies of generating companies in day ahead energy market. Energy Convers. Manag. 49(8), 1439–1499 (2008)

    Google Scholar 

  10. Chunjie, L., Junyou, W., et al.: Biding strategy of generators based on bayesian learning model. East China Electr. Power 38(5), 0627–0631 (2010)

    Google Scholar 

  11. Xiaohong, K., Xinshun, M.: Optimal bidding strategies for generation companies under partial information probability distribution. Electr. Power Sci. Eng. 27(9), 47–50 (2011)

    Google Scholar 

  12. Weiss, J.: Market power issues in the restructuring of the electricity industry: an experimental investigation. Working Paper of the Harvard Business School, Harvard University. http://kspwww.Harvard.edu/hepg/jurgen2.html

  13. Haining, W.: Study on power market simulation and its application system based on the multi-agent modeling of complex adaptive system. Graduate School of China Electric Power Research Institute, Beijing (2013)

    Google Scholar 

  14. Wen, F.S., David, A.K.: Oligopoly electricity market production under incomplete information. IEEE Power Eng. Rev. 21(4), 58–61 (2001)

    Google Scholar 

  15. Zhiqiang, Y., Zhijian, H., Chuanwen, J., et al.: Analysis of Cournot equilibrium in electricity market. Power Syst. Technol. 27(12), 6–9 (2003)

    Google Scholar 

  16. Bautista, G., Anjos, M.F., Vannelli, A.: Formulation of oligopolistic competition in AC power networks: an NLP approach. IEEE Trans. Power Syst. 22(1), 105–115 (2007)

    Google Scholar 

  17. Kian, A.R., Cruz, J.B., Thomas, R.J.: Bidding strategies in oligopolistic dynamic electricity double-sided auctions. IEEE Trans. Power Syst. 20(1), 50–58 (2005)

    Google Scholar 

  18. Shaohua, Z., Xian, W., et al.: Integration of Genco’s risk preference in cournot equilibrium analysis of electricity markets. Power Syst. Technol. 35(9), 176–180 (2011)

    Google Scholar 

  19. Gan, D., Shen, C.: A price competition model for power and reserve market auctions. Electr. Power Syst. Res. 70(3), 187–193 (2004)

    Google Scholar 

  20. Haiyun, T., Li, Y., Yingchen, L., Deqiang, G.: Analysis of the stability of electricity markets equilibrium based on dynamic game theory. Autom. Electr. Power Syst. 31(24), 21–24 (2007)

    Google Scholar 

  21. Haghighat, H., Seifi, H., Kian, A.: Gaming analysis in joint energy and spinning reserve markets. IEEE Trans. Power Syst. 24(4), 2074–2085 (2007)

    Google Scholar 

  22. Bautista, G., Anjos, M.F., Vannelli, A.: Numerical study of affine supply function equilibrium in AC network-constrained markets. IEEE Trans. Power Syst. 22(3), 1174–1184 (2007)

    Google Scholar 

  23. Ming, Z., Yuping, W., et al.: Integration of Genco’s risk preference in Cournot equilibrium analysis of electricity markets. East China Electr. Power 42(10), 2181–2185 (2014)

    Google Scholar 

  24. Day, C.J., Hobbs, B.F., Pang, J.S.: Oligopolistic competition in power networks: a conjectured supply function approach. IEEE Trans. Power Syst. 27(3), 597–607 (2002)

    Google Scholar 

  25. Latorre, M., Granville, S.: The Stackelberg equilibrium applied to AC power-systems—a non-interior point algorithm. IEEE Trans. Power Syst. 18(2), 611–618 (2003)

    Google Scholar 

  26. Brandenburger, A.M., Nalebuff, B.J.: Coopetition: a revolutionary mindset that combines competition and cooperation in the marketplace. Harvard Business School Press, Boston (1996)

    Google Scholar 

  27. Luo, Y.: A coopetition perspective of global competition. J. World Bus. 42(2), 129–144 (2007)

    Google Scholar 

  28. Walley, K.: Coopetition: an introducation to the subject and an agenda for research. Int. Stud. Manag. Org. 37(1), 11–31 (2007)

    Google Scholar 

  29. Wilhelm, M.M.: Managing coopetition through horizontal supply chain relations: linking dyadic and network levels of analysis. J. Oper. Manag. 29(7–8), 663–676 (2011)

    Google Scholar 

  30. Baruch, Y., Lin, C.P.: All for one, one for all: coopetition and virtual team performance. Technol. Forecast. Soc. Change 79(6), 1155–1168 (2012)

    Google Scholar 

  31. Asgari, N., Farahani, R.Z., Goh, M.: Network design approach for hub ports-shipping companies competition and cooperation. Transp. Res. 48, 1–18 (2013)

    Google Scholar 

  32. Truong-Huu, T.: A novel model for competition and cooperation among cloud providers. Trans. Cloud Comput. 2(3), 251–265 (2014)

    Google Scholar 

  33. Kafi, F., Fatemi Ghomi, S.M.T.: A game-theoretic model to analyze value creation with simultaneous cooperation and competition of supply chain partners. Math. Prob. Eng. (2014). https://doi.org/10.1155/2014/754038

  34. Kim, S.: An adaptive smart grid management scheme based on the coopetition game model. ETRI J. 36(1), 80–88 (2014)

    Google Scholar 

  35. Liao, M.X., Xu, C.J., Tang, X.H.: Dynamical behaviors for a competition and cooperation model of enterprises with two delays. Nonlinear Dynam. 75(1–2), 257–266 (2014)

    Google Scholar 

  36. Honglian, G., Yunxian, H., Baohong, Y.: Competitive & cooperation game-theory coordination model of three-hierarchy supply chain with M suppliers, 1 manufacturer and N retailors. Chin. J. Manag. Sci. 16(6), 54–60 (2008)

    Google Scholar 

  37. Xianwu, H., Chunxian, T.: Modeling and solving for longitudinal coopetition game of supply chain with reference chain. Stat. Decis. 348(24), 46–49 (2011)

    Google Scholar 

  38. Ge, Z., Zhiqing, M., Qiying, H.: Competition and cooperation. Science Press, Beijing (2011)

    Google Scholar 

  39. Mingzhu, Y., Jun, S.: The multi-dimensional game about cooperation and competition in the regional port system. Oper. Res. Manag. Sci. 23(5), 93–100 (2014)

    Google Scholar 

  40. Benhai, G., Junqiang, L., Sifeng, L.: Evolutionary Game model on competition and cooperation between countries in land. Chin. J. Manag. Sci. 23(12), 77–85 (2015)

    Google Scholar 

  41. Yang, F., Tianyi, G., Han, Q.: Competition and collaborative strategies within ports cluster in Huanghai Area—a Game theory approach. Syst. Eng. Theory Pract. 35(4), 953–964 (2015)

    Google Scholar 

  42. Marco, G., Morgan, J.: Slightly altruistic equilibria. J. Optim. Theory Appl. 137, 347–362 (2008)

    Google Scholar 

  43. Yongjian, P., Zhe, Y.: Slightly altruistic weakly Pareto–Nash equilibrium. J. Syst. Sci. Math. Sci. 30(9), 1259–1266 (2010)

    Google Scholar 

  44. Jian, Y.: Slightly altruistic equilibria of N-person noncooperative game. J. Syst. Sci. Math. Sci. 31(5), 534–539 (2011)

    Google Scholar 

  45. Nengfa, W.: The existence of slightly altruistic equilibrium point in noncooperative games. J. Quant. Econom. 28(4), 11–14 (2011)

    Google Scholar 

Download references

Funding

Joint funding project of GuiZhou University (QKHLH 20167424 and QKHLH 20167425); Guizhou Science and Technology Hall’s project (QKHGY20113022); National Natural Science Foundation of China (71361003 and 11761023).

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Correspondence to Wang Honglei.

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Lanxiang, J., Honglei, W., Zhijun, H. et al. Repeated game analysis of power suppliers based on dynamic coopetition process and slightly altruistic factor. Cluster Comput 22 (Suppl 2), 4075–4084 (2019). https://doi.org/10.1007/s10586-017-1464-5

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  • DOI: https://doi.org/10.1007/s10586-017-1464-5

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