Advertisement

Archiv der Mathematik

, Volume 69, Issue 1, pp 70–74 | Cite as

Extensions of group-valued modular maps

  • Gerd Waldschaks
  • 25 Downloads

Abstract.

The first theorem of this paper characterizes modular extensions of a group-valued modular map defined on a Boolean ring as maximal or minimal elements in the collection of all supermodular or submodular extensions, respectively. Using Zorn's lemma, we obtain results on the existence of a modular majorant or minorant of a supermodular or submodular map, respectively. The results are specialized to positive (super-)modular maps. The final remark includes an economic game theory application.

Keywords

Game Theory Final Remark Minimal Element Theory Application Boolean Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag, Basel 1997

Authors and Affiliations

  • Gerd Waldschaks
    • 1
  1. 1.Bodelschwinghstraße 11, D-67105 Schifferstadt, GermanyDE

Personalised recommendations