Citation:
Litan, C., Marhuenda, F., & Sudhölter, P. (2018). Generic finiteness of equilibrium distributions for bimatrix outcome game forms. Annals of Operations Research, 287 (2), pp. 801-810.
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Economía y Competitividad (España) Comunidad de Madrid
Sponsor:
The first author acknowledges that this work was supported by a grant of the Romanian National Authority
for Scientific Research and Innovation, CNCS-UEFISCDI, project number PN-II-RU-TE-2014-4-1827. The
second author acknowledges financial support from the Ministerio Economía y Competitividad (Spain),
grant ECO2016-75992-P, MDM 2014-0431, and Comunidad de Madrid, MadEco-CM (S2015/HUM-3444).
The third author acknowledges support from the Spanish Ministerio de Economía y Competitividad under
project ECO2015-66803-P and from the Danish Council for Independent Research|Social Sciences
(Grant-id: DFFD 1327-00097).
Project:
Comunidad de Madrid. S2015/HUM-3444 Gobierno de España. ECO2016-75992-P Gobierno de España. MDM 2014-0431 Gobierno de España. ECO2015-66803-P
Keywords:
Outcome game form
,
Completely mixed
,
Nash equilibrium
,
Generic finiteness
We provide sufficient and necessary conditions for the generic finiteness of the number of distributions on outcomes, induced by the completely mixed Nash equilibria associated to a bimatrix outcome game form. These equivalent conditions are stated in terms ofWe provide sufficient and necessary conditions for the generic finiteness of the number of distributions on outcomes, induced by the completely mixed Nash equilibria associated to a bimatrix outcome game form. These equivalent conditions are stated in terms of the ranks of two matrices constructed from the original game form.[+][-]