# Bounded Rationality and Correlated Equilibria

*Fabrizio Germano* () and
*Peio Zuazo-Garin* ()

Working Papers from Universitat Rovira i Virgili, Department of Economics

**Abstract:**
We study an interactive framework that explicitly allows for nonrational behavior. We do not place any restrictions on how players' behavior deviates from rationality. Instead we assume that there exists a probability p such that all players play rationally with at least probability p, and all players believe, with at least probability p, that their opponents play rationally. This, together with the assumption of a common prior, leads to what we call the set of p-rational outcomes, which we define and characterize for arbitrary probability p. We then show that this set varies continuously in p and converges to the set of correlated equilibria as p approaches 1, thus establishing robustness of the correlated equilibrium concept to relaxing rationality and common knowledge of rationality. The p-rational outcomes are easy to compute, also for games of incomplete information, and they can be applied to observed frequencies of play to derive a measure p that bounds from below the probability with which any given player chooses actions consistent with payoff maximization and common knowledge of payoff maximization. Keywords: strategic interaction, correlated equilibrium, robustness to bounded rationality, approximate knowledge, incomplete information, measure of rationality, experiments. JEL Classification: C72, D82, D83.

**Keywords:** Jocs no-cooperatius (Matemàtica); Teoria de la informació (Economia); 33 - Economia (search for similar items in EconPapers)

**New Economics Papers:** this item is included in nep-gth, nep-hpe, nep-mic and nep-upt

**Date:** 2015

**References:** View references in EconPapers View complete reference list from CitEc

**Citations:** Track citations by RSS feed

**Downloads:** (external link)

http://hdl.handle.net/2072/260959

**Related works:**

Journal Article: Bounded rationality and correlated equilibria (2017)

Working Paper: Bounded Rationality and Correlated Equilibria (2015)

Working Paper: Bounded Rationality and Correlated Equilibria (2015)

Working Paper: Bounded Rationality and Correlated Equilibria (2015)

Working Paper: Bounded rationality and correlated equilibria (2015)

This item may be available elsewhere in EconPapers: Search for items with the same title.

**Export reference:** BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text

**Persistent link:** https://EconPapers.repec.org/RePEc:urv:wpaper:2072/260959

Access Statistics for this paper

More papers in Working Papers from Universitat Rovira i Virgili, Department of Economics Contact information at EDIRC.

Bibliographic data for series maintained by Ariadna Casals ().