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 |
Autori interni: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11769/7700 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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