A model of peer effects in school
type: Item
instance of: scholarly article
title: A model of peer effects in school
zbMATH Open document ID: 1482.91158
author: Ugo Bolletta
published in: Mathematical Social Sciences
publication date: 2022-01-24T00:00:00Z
review text: This paper studies endogenous choices of peers and peer effect in schools. The agents in a network chooses links which determines the structure on the basis of empirical models including the linear-in-means system. The stable networks in terms of pairwise Nash stability are characterized for this model. It is shown that each stable network is a locally complete network. All individuals respond in the best way to others' strategies and links are mutually accepted. The model is solved through a sequential algorithm following Watts' work. It reveals that agents make distance based decisions regarding their friendship. Better students tend to choose to avoid interactions with lower ability students. An extension model is also considered in the paper, where other characteristics not correlated with outcome impact the link formation process. Some applications to experiments and empirical works have been conducted.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 91D30
zbMATH DE Number: 7462330
zbMATH Keywords: endogenous network
zbMATH Keywords: peer effects
zbMATH Keywords: segregation
zbMATH Keywords: policy interventions
zbMATH Keywords: homophily
MaRDI profile type: Publication
full work available at URL: j.mathsocsci.2021.09.003
OpenAlex ID: W3200515035
cites work: Nash Equilibria on (Un)Stable Networks
cites work: Who's Who in Networks. Wanted: The Key Player
cites work: STRUCTURAL HOMOPHILY
cites work: Identification of peer effects through social networks
cites work: Peer Effects and Social Networks in Education
cites work: From natural variation to optimal policy? The importance of endogenous peer group formation
cites work: Q3063920
cites work: The evolution of social and economic networks.
cites work: A strategic model of social and economic networks
cites work: Identification of Endogenous Social Effects: The Reflection Problem
cites work: A dynamic model of network formation
DOI: 10.1016/J.MATHSOCSCI.2021.09.003
description: scientific article; zbMATH DE number 7462330