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".
Star-shapedness of Richter-Aumann integral on a measure space with atoms: theory and economic applications
D'AGATA, Antonio
2005-01-01
Abstract
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".File in questo prodotto:
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