Hyperopic Strict Topologies

Jaime Orrillo and Rudy José Rosas Bazán

No 23/2013, Economics and Politics Working Paper Series from Economics and Politics Research Group (EPRG), University of Brasília

Abstract: We explicitly define a family of seminorms on the space of all bounded real sequence l∞. This family gives rise to a Hausdorff locally convex topology which is not equivalent to the usual ones: the weak topology σ(l∞, l¹), the norm topology τ∞, the Mackey topology m(l∞, l¹) and the strict topology β. We show that this new topology captures a hyperopic behavior of individuals. We call this "hyperopic strict topology". Finally, we show that the hyperopic strict dual of l∞ is not l¹ anymore but rather the set of all finitely additive measures. An interpretation of this hyperopic strict dual is offered in a convenient way.

Keywords: Hyperopic agents; locally convex topology; charges (search for similar items in EconPapers)
JEL-codes: C02 D11 (search for similar items in EconPapers)
Date: 2013-08-21
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Persistent link: https://EconPapers.repec.org/RePEc:gvn:eprgwp:232013

DOI: 10.5281/zenodo.23602825

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