{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T20:33:08Z","timestamp":1782419588480,"version":"3.54.5"},"reference-count":33,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2020,11,18]],"date-time":"2020-11-18T00:00:00Z","timestamp":1605657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Sciences"],"abstract":"<jats:p>With the Clean Energy Package, the European Union introduced the concept of Renewable Energy Communities: groups of citizens, small and medium enterprises and local authorities that decide to join forces to equip themselves with systems to produce and share energy from renewable energy sources. The Italian legislation recently started an experimental phase in which renewable energy communities receive an incentivising tariff for the energy produced and shared within the community. This paper faces the problem of creating a new renewable energy community in two steps. First, a mathematical model of the energy flows among the members of the community is characterised according to the Italian schema. This model is used to find the optimal portfolio for the energy community, given energy requests and local source availability. Secondly, the Shapley value, a particular solution of cooperative games known to be the most fair method to allocate costs and profits of shared infrastructures, is proposed to distribute benefits among community members. The methodology has been applied to a case study based on a real low voltage network, and the economics for consumers and producers in participating to the project have been evaluated. The proposed solution, simulated adopting real economic parameters defined in the Italian regulatory framework, results to be economically viable from the point of view of the investors with a profitability index of 1.36 and, at the same time, aligned with the social purposes of the energy communities.<\/jats:p>","DOI":"10.3390\/app10228166","type":"journal-article","created":{"date-parts":[[2020,11,18]],"date-time":"2020-11-18T07:41:00Z","timestamp":1605685260000},"page":"8166","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":74,"title":["A Game Theoretic Approach for Energy Sharing in the Italian Renewable Energy Communities"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2451-5220","authenticated-orcid":false,"given":"Matteo","family":"Moncecchi","sequence":"first","affiliation":[{"name":"Department of Energy, Politecnico di Milano, 20156 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefano","family":"Meneghello","sequence":"additional","affiliation":[{"name":"Department of Energy, Politecnico di Milano, 20156 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4091-0733","authenticated-orcid":false,"given":"Marco","family":"Merlo","sequence":"additional","affiliation":[{"name":"Department of Energy, Politecnico di Milano, 20156 Milano, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,18]]},"reference":[{"key":"ref_1","unstructured":"EU (2018). Directive (EU) 2018\/2001 of the European Parliament and of the Council on the promotion of the use of energy from renewable sources. Off. J. Eur. Union, 2018, 82\u2013209."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Moncecchi, M., Meneghello, S., and Merlo, M. (2020, January 1\u20134). Energy Sharing in Renewable Energy Communities: The Italian Case. Proceedings of the 2020 55th International Universities Power Engineering Conference (UPEC), Torino, Italy.","DOI":"10.1109\/UPEC49904.2020.9209813"},{"key":"ref_3","unstructured":"Kunze, C., and Becker, S. (2014). Energy Democracy in Europe\u2014A Survey and Outlook, Rosa Luxemburg Foundation Brussels Office."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2683","DOI":"10.1016\/j.enpol.2006.12.001","article-title":"Social acceptance of renewable energy innovation: An introduction to the concept","volume":"35","author":"Wolsink","year":"2007","journal-title":"Energy Policy"},{"key":"ref_5","unstructured":"Bauwens, T. (2020, October 19). What Roles for Energy Cooperatives in the Diffusion of Distributed Generation Technologies?. Available online: https:\/\/papers.ssrn.com\/sol3\/papers.cfm?abstract_id=2382596."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1016\/j.rser.2015.11.080","article-title":"Energetic communities for community energy: A review of key issues and trends shaping integrated community energy systems","volume":"56","author":"Koirala","year":"2016","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Candelise, C., and Ruggieri, G. (2020). Status and evolution of the community energy sector in Italy. Energies, 13.","DOI":"10.3390\/en13081888"},{"key":"ref_8","unstructured":"Repubblica Italiana (2020, October 19). LEGGE 28 Febbraio 2020, n. 8. Gazzetta Ufficiale Della Repubblica Italiana, Available online: https:\/\/www.gazzettaufficiale.it\/eli\/id\/2020\/02\/29\/20G00021\/sg."},{"key":"ref_9","unstructured":"ARERA (2020, October 19). Deliberazione 4 Agosto 2020\u2014318\/2020\/R\/EEL. Available online: https:\/\/www.arera.it\/it\/docs\/20\/318-20.htm."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"111212","DOI":"10.1016\/j.enpol.2019.111212","article-title":"Regulatory challenges and opportunities for collective renewable energy prosumers in the EU","volume":"138","author":"Guilherme","year":"2020","journal-title":"Energy Policy"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Reihani, E., Siano, P., and Genova, M. (2020). A new method for peer-to-peer energy exchange in distribution grids. Energies, 13.","DOI":"10.3390\/en13040799"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3569","DOI":"10.1109\/TPWRS.2017.2649558","article-title":"Energy-Sharing Model with Price-Based Demand Response for Microgrids of Peer-to-Peer Prosumers","volume":"32","author":"Liu","year":"2017","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"106527","DOI":"10.1016\/j.ijepes.2020.106527","article-title":"A two-stage optimization approach on the decisions for prosumers and consumers within a community in the Peer-to-peer energy sharing trading","volume":"125","author":"Jiang","year":"2021","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"7402","DOI":"10.1109\/TII.2019.2960802","article-title":"An Efficient Peer-to-Peer Energy-Sharing Framework for Numerous Community Prosumers","volume":"16","author":"Cui","year":"2020","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1675","DOI":"10.1016\/j.rser.2017.07.018","article-title":"Prosumer based energy management and sharing in smart grid","volume":"82","author":"Zafar","year":"2018","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1007\/s11625-015-0301-0","article-title":"Collective ownership in renewable energy and opportunities for sustainable degrowth","volume":"10","author":"Kunze","year":"2015","journal-title":"Sustain. Sci."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1092","DOI":"10.1016\/j.energy.2019.02.104","article-title":"Portfolio optimization of energy communities to meet reductions in costs and emissions","volume":"173","author":"Fleischhacker","year":"2019","journal-title":"Energy"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Ghiani, E., Giordano, A., Nieddu, A., Rosetti, L., and Pilo, F. (2019). Planning of a Smart Local Energy Community: The Case of Berchidda Municipality (Italy). Energies, 12.","DOI":"10.3390\/en12244629"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Mutani, G., Todeschi, V., Tartaglia, A., and Nuvoli, G. (2018, January 7\u201311). Energy Communities in Piedmont Region (IT). The case study in Pinerolo territory. Proceedings of the 2018 IEEE International Telecommunications Energy Conference (INTELEC), Turin, Italy.","DOI":"10.1109\/INTLEC.2018.8612427"},{"key":"ref_20","unstructured":"Myerson, R.B. (2002). Game Theory: Analysis of Conflict, Harvard University Press."},{"key":"ref_21","first-page":"39","article-title":"Agent-based micro-storage management for the smart grid","volume":"1","author":"Vytelingum","year":"2010","journal-title":"Proc. Int. Jt. Conf. Auton. Agents Multiagent Syst. AAMAS"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1560","DOI":"10.1109\/TPWRD.2008.2007022","article-title":"Game-theoretic control of small-scale power systems","volume":"24","author":"Weaver","year":"2009","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1109\/JSYST.2010.2059110","article-title":"Simulation and pricing mechanism analysis of a solar-powered electrical microgrid","volume":"4","author":"Maity","year":"2010","journal-title":"IEEE Syst. J."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1790","DOI":"10.1109\/TSG.2015.2508443","article-title":"Price Discrimination for Energy Trading in Smart Grid: A Game Theoretic Approach","volume":"8","author":"Tushar","year":"2017","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Dai, R., Charkhgard, H., Chen, Y., and Kuang, Y. (2019, January 4\u20138). Balancing Benefit Distribution for Energy Storage Sharing based on Nash Bargaining Solution. Proceedings of the 2019 IEEE Power & Energy Society General Meeting (PESGM), Atlanta, GA, USA.","DOI":"10.1109\/PESGM40551.2019.8973488"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2647","DOI":"10.1109\/TSG.2016.2614988","article-title":"Incentivizing Energy Trading for Interconnected Microgrids","volume":"9","author":"Wang","year":"2018","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Saad, W., Han, Z., and Poor, H.V. (2011, January 5\u20139). Coalitional game theory for cooperative micro-grid distribution networks. Proceedings of the 2011 IEEE International Conference on Communications Workshops (ICC), Kyoto, Japan.","DOI":"10.1109\/iccw.2011.5963577"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1016\/j.egypro.2018.12.075","article-title":"A game theoretic approach for peer to peer energy trading","volume":"159","author":"Long","year":"2019","journal-title":"Energy Procedia"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Pilling, R., Chang, S.C., and Luh, P.B. (2017). Shapley value-based payment calculation for energy exchange between micro- and utility grids. Games, 8.","DOI":"10.3390\/g8040045"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1960","DOI":"10.1109\/TSG.2017.2784902","article-title":"Coalitional game-based cost optimization of energy portfolio in smart grid communities","volume":"10","author":"Chis","year":"2019","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_31","unstructured":"REScoop 20-20-20 Consortium (2020, November 18). REScoop Best Practices Report I. Available online: https:\/\/www.rescoop.eu\/toolbox\/best-practices-report-part-1-and-2."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"264","DOI":"10.3934\/energy.2019.3.264","article-title":"Regional energy planning based on distribution grid hosting capacity","volume":"7","author":"Moncecchi","year":"2019","journal-title":"AIMS Energy"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.1016\/j.solener.2012.03.006","article-title":"A new solar radiation database for estimating PV performance in Europe and Africa","volume":"86","author":"Huld","year":"2012","journal-title":"Sol. 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