We adopt the largest consistent set defined by Chwe [J. of Econ. Theory 63 (1994), 299-235] to predict which coalition structures are possibly stable when players are farsighted. We also introduce a refinement, the largest cautious consistent set, based on the assumption that players are...

We introduce a new solution concept for models of coalition formation, called the myopic stable set. The myopic stable set is defined for a very general class of social environments and allows for an infinite state space. We show that the myopic stable set exists and is non-empty. Under minor...

The concept of 'the core' originates in cooperative game theory and its introduction to economics in the 1960s as a basis for proofs of existence of general equilibrium is one of the earliest attempts to use game theory to address big questions in economics. Discovery of the core was met with...

We study iterated formation of mutually best matches (IMB) in college admissions problems. When IMB produces a maximal individually rational matching, the matching has many good properties like Pareto optimality and stability. If preferences satisfy a single peakedness condition, or have a...

I develop two related solution concepts, equilibrium coalitional behavior and credible equilibrium coalitional behavior, which capture foresight and impose the requirement that each coalition in a sequence of coalitional moves chooses optimally among all its available options. The model does not...

We analyze a college admissions game with asymmetric information between students and colleges. Students' preferences for colleges depend on the observable quality of the schools. In contrast, colleges' preferences for students depend on the latter's abilities, which are private information....

Background: This paper develops a game theoretic model that analyses the dynamics of competition among the leading domestic aviation firms in the Nigerian aviation industry. It probes the abilities of the prisoner dilemma to describe the subjective behaviour of the firms, which provide a...

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...

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games to determine whether the core of the combined game coincides with the sum of...

Selfish, strategic players may benefit from cooperation, provided they reach agreement. It is therefore important to construct mechanisms that facilitate such cooperation, especially in the case of asymmetric private information. The two major issues are: (1) singling out a fair and efficient...