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Título
Compliance with Social Norms as an Evolutionary Stable Equilibrium
Año del Documento
2020
Editorial
Springer International Publishing
Descripción
Producción Científica
Documento Fuente
Pierre-Olivier Pineau, Simon Sigué & Sihem Taboubi. Games in Management Science - 2020. Essays in Honor of Georges Zaccour. 2020, p. 283-313.
Abstract
This paper studies a two-population evolutionary game in a new setting
in between a symmetric and an asymmetric evolutionary model. It distinguishes two
types of agents: Sanchos, whose payoffs are defined by a prisoner’s dilemma game,
and Quixotes, whose payoffs are defined by a snowdrift game. Considering an imita-
tive revision protocol, a revising agent is paired with someone from his own popula-
tion or the other population. When matched, they observe payoffs, but not identities.
Thus, agents in one population interact and imitate agents from their own population
and from the other population. In this setting we prove that a unique mixed-strategy
asymptotically stable fixed point of the evolutionary dynamics exists. Taking as an
example the compliance with social norms, and depending on the parameters, two
type of equilibrium are possible, one with full compliance among Quixotes and par-
tial compliance among Sanchos, or another with partial compliance among Quixotes
and defection among Sanchos. In the former type, Sanchos comply above their Nash
equilibrium (as they imitate compliant Quixotes). In the latter type, Quixotes comply
below their Nash equilibrium (as they imitate defecting Sanchos).
Palabras Clave
Two-population evolutionary game Heterogeneous preferences Prisoner’s dilemma game Snowdrift game Social norms
ISBN
978-3-030-19107-8
Patrocinador
This study was funded by the Spanish Government (projects ECO2014- 52343-P and ECO2017-82227-P), as well as financial aid from Junta de Castilla y León (projects VA024P17 and VA105G18), co-financed by FEDER funds.
Version del Editor
Idioma
eng
Tipo de versión
info:eu-repo/semantics/acceptedVersion
Derechos
openAccess
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