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Differential game model with discretized solution for distributing heat produced by solar heating systems

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  • Kicsiny, R.

Abstract

It is indispensable for the sustainable energy supply of our society to increase the proportion of the renewables in the energy production. For this purpose, it is important to distribute the renewables, like solar heat, with maximal efficiency among the consumers. The theoretically established, effective tool for the solution of this problem is the mathematical (and especially, the game theoretical) modelling.

Suggested Citation

  • Kicsiny, R., 2019. "Differential game model with discretized solution for distributing heat produced by solar heating systems," Renewable Energy, Elsevier, vol. 140(C), pages 330-340.
    • Handle: RePEc:eee:renene:v:140:y:2019:i:c:p:330-340
    DOI: 10.1016/j.renene.2019.03.068
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    References listed on IDEAS

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    1. Yang, Dong-xiao & Chen, Zi-yue & Nie, Pu-yan, 2016. "Output subsidy of renewable energy power industry under asymmetric information," Energy, Elsevier, vol. 117(P1), pages 291-299.
    2. Richárd Kicsiny, 2017. "Solution for a class of closed-loop leader-follower games with convexity conditions on the payoffs," Annals of Operations Research, Springer, vol. 253(1), pages 405-429, June.
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    5. Kicsiny, R. & Varga, Z. & Scarelli, A., 2014. "Backward induction algorithm for a class of closed-loop Stackelberg games," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1021-1036.
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    7. Christos-Spyridon Karavas & Konstantinos Arvanitis & George Papadakis, 2017. "A Game Theory Approach to Multi-Agent Decentralized Energy Management of Autonomous Polygeneration Microgrids," Energies, MDPI, vol. 10(11), pages 1-22, November.
    8. Yang, Yong-cong & Nie, Pu-yan & Liu, Hui-ting & Shen, Ming-hao, 2018. "On the welfare effects of subsidy game for renewable energy investment: Toward a dynamic equilibrium model," Renewable Energy, Elsevier, vol. 121(C), pages 420-428.
    9. Huang, Zishuo & Yu, Hang & Chu, Xiangyang & Peng, Zhenwei, 2018. "A novel optimization model based on game tree for multi-energy conversion systems," Energy, Elsevier, vol. 150(C), pages 109-121.
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    Cited by:

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    2. Mingjing Guo & Ziyu Jiang & Yan Bu & Jinhua Cheng, 2019. "Supporting Sustainable Development of Water Resources: A Social Welfare Maximization Game Model," IJERPH, MDPI, vol. 16(16), pages 1-15, August.
    3. Ghazouani, Mokhtar & Bouya, Mohsine & Benaissa, Mohammed, 2020. "Thermo-economic and exergy analysis and optimization of small PTC collectors for solar heat integration in industrial processes," Renewable Energy, Elsevier, vol. 152(C), pages 984-998.
    4. Wang, Guotao & Liao, Qi & Wang, Chang & Liang, Yongtu & Zhang, Haoran, 2022. "Multiperiod optimal planning of biofuel refueling stations: A bi-level game-theoretic approach," Renewable Energy, Elsevier, vol. 200(C), pages 1152-1165.
    5. Nikolaos Nagkoulis & Konstantinos L. Katsifarakis, 2022. "Using Game Theory to Assign Groundwater Pumping Schedules," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(5), pages 1571-1586, March.
    6. Richárd Kicsiny & Zoltán Varga, 2023. "New algorithm for checking Pareto optimality in bimatrix games," Annals of Operations Research, Springer, vol. 320(1), pages 235-259, January.

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