The conditions in the existence results for discontinuous games by Reny and by Simon and Zame are incomparable

Author(s)
Guilherme Carmona, Konrad Podczeck
Abstract

A natural way to relate the existence theorems of Reny (1999) and Simon and Zame (1990) would be to show the following: Each game with an endogenous sharing rule satisfying the assumptions of Simon and Zame (1990) is such that the payoff correspondence has a measurable selection inducing a normal-form game whose mixed extension satisfies the assumptions in Reny (1999). We present a result showing that this is not so in general, even when the assumptions in Reny (1999) are weakened to those in Barelli and Meneghel (2013).

Organisation(s)
Department of Economics
External organisation(s)
University of Surrey
Journal
Games and Economic Behavior
Volume
111
Pages
16-19
No. of pages
4
ISSN
0899-8256
DOI
https://doi.org/10.1016/j.geb.2018.05.008
Publication date
09-2018
Peer reviewed
Yes
Austrian Fields of Science 2012
Economic theory
Keywords
ASJC Scopus subject areas
,
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-conditions-in-the-existence-results-for-discontinuous-games-by-reny-and-by-simon-and-zame-are-incomparable(4677ea6c-2ff0-4688-b5a6-6c17eb1cd390).html