Fair Least Core: efficient, stable and unique game-theoretic reward allocation in Energy Communities by row-generation

Davide, Fioriti and Giancarlo, Bigi and Antonio, Frangioni and Mauro, Passacantando (2024) Fair Least Core: efficient, stable and unique game-theoretic reward allocation in Energy Communities by row-generation. Technical Report del Dipartimento di Informatica, TR . University of Pisa, Pisa, IT. (Submitted)

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Abstract

Energy Communities are increasingly proposed as a tool to boost renewable penetration and maximize citizen participation in energy matters. These policies enable the formation of legal entities that bring together power system members, enabling collective investment and operation of energy assets. However, designing appropriate reward schemes is crucial to fairly incentivize individuals to join, as well to ensure collaborative and stable aggregation, maximizing community benefits. Cooperative Game Theory, emphasizing coordination among members, has been extensively proposed for ECs and microgrids; however, it is still perceived as obscure and difficult to compute due to its exponential computational requirements. This study proposes a novel framework for stable fair benefit allocation, named Fair Least Core, that provides uniqueness, replicability, stability and fairness. A novel row-generation algorithm is also proposed that allows to efficiently compute the imputations for coalitions of practical size. A case study of ECs with up to 50 members demonstrates the stability, reproducibility, fairness and efficiency properties of proposed model. The results also highlight how the market power of individual users changes as the community grows larger, which can steer the development of practical reliable, robust and fair reward allocations for energy system applications.

Item Type:	Book
Uncontrolled Keywords:	Energy Community, game theory, Fair Least Core, EnergyCommunity.jl, Mixed-Integer Linear Programming (MILP), coalition fairness and stability
Subjects:	Area09 - Ingegneria industriale e dell'informazione > ING-IND/33 - Sistemi elettrici per l'energia Area01 - Scienze matematiche e informatiche > MAT/09 - Ricerca operativa
Divisions:	Dipartimenti (from 2013) > DIPARTIMENTO DI INFORMATICA Dipartimenti (from 2013) > DIPARTIMENTO DI INGEGNERIA DELL'ENERGIA, DEI SISTEMI, DEL TERRITORIO E DELLE COSTRUZIONI
Depositing User:	Prof. Antonio Frangioni
Date Deposited:	30 May 2024 06:58
Last Modified:	30 May 2024 06:58
URI:	http://eprints.adm.unipi.it/id/eprint/2409

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