关键词: 区间合作对策, 区间核心, 均衡对策, 极小强均衡, 广义区间核心

Abstract: Interval cooperative game is a kind of model focusing on how to allocate the profits reasonably when the profits of any coalition are interval numbers. For the past years, the existence and reasonableness of its solutions have aroused widespread concern. Interval core is a stable set-valued solution concept in interval cooperative game. Thus in this paper, we firstly have a further discussion on the existence of interval core by introducing some concepts such as: strongly unbalanced, minimal strongly balanced, size monotonic and so on. Then on the condition that the interval profit value of any coalition is not fully used to allocate, a generalized interval cooperative game and its solution concepts, such as generalized interval imputation, generalized interval core are proposed, a theorem to discuss the existence of generalized interval core is developed. The conclusions in this paper will promote the development of interval cooperative games and lay a sound base for solving the profit allocation problems under interval uncertainties.

Key words: interval cooperative games, interval core, balanced games, minimal strongly balanced, generalized interval core1