Issue: 2024/Vol.34/No.4, Pages 251-273
THE OWEN VALUE FOR DIFFERENTIAL COOPERATIVE GAMES WITH A COALITION STRUCTURE
Jianwei Zhao
, Zijun Li
Cite as: J. Zhao, Z. Li. The Owen value for differential cooperative games with a coalition structure. Operations Research and Decisions 2024: 34(4), 251-273. DOI 10.37190/ord240414
Abstract
This paper researches differential cooperative games with a coalition structure. To show the payoffs of players, the Owen value for traditional case is extended to the new cooperative model, and its existence and uniqueness are discussed. Furthermore, the relationship between the core and the Owen value is shown. In addition, the sub-game consistency of the Owen value is analyzed that maintains the efficiency of the payoff throughout the game. With the defined characteristic function, it is proved that the Owen value is sub-game consistent. Finally, theoretical results of this paper are applied to solve the problem of cost allocation of environmental governance.
Keywords: differential cooperative game, coalition structure, Owen value, sub-game consistency
Received: 6 November 2023 Accepted: 26 September 2024
Published online: 19 December 2024