We present a unified look at myopic stability concepts for hedonic games, and discuss the status of the existence problems of stable coalition structures. In particular, we show that contractual strictly core stable coalition structures always exist, and present a sufficient condition for the...

We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict core stability is under...

In the present paper we consider a situation in which the individual preferences and the social preference relation are intuitionistic fuzzy and study the compatibility between the Pareto principle and Sen’s minimal liberalism condition. A possible factorization of the intuitionistic fuzzy...

In the present article we consider a situation in which the individual and collective preferences are fuzzy or intuitionistic fuzzy and present some results in this framework. These results are connected with the analysis of the Liberal paradox of Sen (1970) and the requirement of...