By: |
Demuynck, Thomas (universite libre de bruxelles);
Herings, P. Jean-Jacques (General Economics 1 (Micro));
Saulle, Riccardo (General Economics 1 (Micro));
Seel, Christian (General Economics 1 (Micro)) |
Abstract: |
We introduce a new solution concept for models of coalition formation, called
the myopic stable set (MSS). The MSS is defined for a general class of social
environments and allows for an infinite state space. An MSS exists and, under
minor continuity assumptions, it is also unique. The MSS generalizes and
unifies various results from more specific applications. It coincides with the
coalition structure core in coalition function form games when this set is
non-empty; with the set of stable matchings in the Gale-Shapley matching
model; with the set of Pareto optimal allocations in the Shapley-Scarf housing
matching model; with the set of pairwise stable networks and closed cycles in
models of network formation; with the set of pure strategy Nash equilibria in
pseudo-potential games and finite supermodular games; and with the set of
mixed strategy Nash equilibria in several classes of two-player games. |
Keywords: |
Social environments, group formation, stability, Nash equilibrium |
JEL: |
C70 C71 |
Date: |
2018–02–01 |
URL: |
http://d.repec.org/n?u=RePEc:unm:umagsb:2018001&r=des |