This paper provides sufficient (as well as necessary) conditions for the integral of a correspondence defined on a measure space with atoms to exhibit star-shaped values. This result is used to analyse the existence of a Nash equilibrium in games with a meaure space of agents with atoms and of a competitive equilibrium in economies with mixed markets. In either cases, it is shown that an exact equilibrium exists whenever atoms are "small enough".
|Titolo:||Star-shapedness of Richter-Aumann integral on a measure space with atoms: theory and economic applications|
|Data di pubblicazione:||2005|
|Appare nelle tipologie:||1.1 Articolo in rivista|