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Existence of an equilibrium for lower semi-continuous information acquisition functions

Turinici, Gabriel; Haguet, Eleonore; Bialecki, Agnes (2014), Existence of an equilibrium for lower semi-continuous information acquisition functions, Journal of Applied Mathematics, 2014. http://dx.doi.org/10.1155/2014/268427

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00723189
Date
2014
Journal name
Journal of Applied Mathematics
Volume
2014
Publisher
Hindawi
Publication identifier
http://dx.doi.org/10.1155/2014/268427
Metadata
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Author(s)
Turinici, Gabriel cc
Haguet, Eleonore
Bialecki, Agnes
Abstract (EN)
We consider a two period model in which a continuum of agents trade in a context of costly information acquisition and systematic heteroge- neous expectations biases. Because of systematic biases agents are sup- posed not to learn from others' decisions. In a previous work under some- how strong technical assumptions a market equilibrium was proved to exist and the supply and demand functions were proved to be strictly monotonic with respect to the price. Here we extend these results under very weak technical assumptions. We also prove that the equilibrium price maximizes the trading volume and further additional properties (such as the anti-monotonicity of the trading volume with respect to the marginal information price).
Subjects / Keywords
costly information; Grossman-Stiglitz paradox; heterogeneous estimations; heterogeneous beliefs; information acquisition

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