Topology and equilibrium existence in repeated games with incomplete information

• Grant number: 13/07936-1
• Support Opportunities: Scholarships abroad - Research
• Start date: August 26, 2013
• End date: February 25, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Thaís Fernanda Mendes Monis
• Host Investigator: Stanislaw Spiez
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Institution abroad: Polish Academy of Sciences (PAN), Poland

Abstract

Infinitely repeated two-person, non-zero-sum games of incomplete information on one side were introduced by Aumann, Maschler and Stearns. The central point is the issue of existence of equilibrium for such games. In full generality, it is still open.Special cases of increasing generality have been established by Simon, Spiez and Torunczyk, Renault and again Simon, Spiez and Torunczyk. There are two conjectures in Topology such that together they solve the question. The aim of this research project is to work in the proof of these conjectures in Topology and, therefore, to establish the result of existence of equilibrium for repeated games with incomplete information on one side in full generality. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GONCALVES, DACIBERG L.; MONIS, THAIS F. M.; SPIEZ, STANISLAW. DEFICIENT AND MULTIPLE POINTS OF MAPS INTO A MANIFOLD. HOUSTON JOURNAL OF MATHEMATICS, v. 46, n. 4, p. 20-pg., 2020-01-01. (16/24707-4, 18/03550-5, 13/07936-1)

MONIS, THAIS F. M.; SPIEZ, STANISLAW. Lefschetz coincidence class for several maps. Journal of Fixed Point Theory and Applications, v. 18, n. 1, p. 61-76, MAR 2016. (12/03316-6, 13/07936-1)