Search and Matching for Adoption from Foster Care

Fuente: arXiv
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Main Authors: Dierks, Ludwig, Olberg, Nils, Seuken, Sven, Slaugh, Vincent W., Ünver, M. Utku
Format: Preprint
Published: 2021
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author Dierks, Ludwig
Olberg, Nils
Seuken, Sven
Slaugh, Vincent W.
Ünver, M. Utku
author_facet Dierks, Ludwig
Olberg, Nils
Seuken, Sven
Slaugh, Vincent W.
Ünver, M. Utku
contents To find families for the more than 70,000 children in need of adoptive placements, most United States child welfare agencies have employed a family-driven search approach in which prospective families respond to announcements made by the agency. However, some agencies have switched to a caseworker-driven search approach in which the caseworker directly contacts families recommended for a child. We introduce a novel search-and-matching model that captures the key features of the adoption process and compare family-driven with caseworker-driven search in a game-theoretical framework. Under either approach, the equilibria are generated by threshold strategies and form a lattice structure. Our main theoretical finding then shows that no family-driven equilibrium can Pareto dominate any caseworker-driven outcome, whereas it is possible that each caseworker-driven equilibrium Pareto dominates every equilibrium attainable under family-driven search. We also find that, within our model, when families are sufficiently impatient, caseworker-driven search is better for all children. We numerically illustrate that most agents are better off under caseworker-driven search across a wide range of parameter values. Finally, we present an empirical study of an agency that switched to caseworker-driven search, finding a three-year adoption probability that outperformed a statewide benchmark by 44.9%, along with a statistically significant 54% higher adoption hazard rate.
format Preprint
id arxiv_https___arxiv_org_abs_2103_10145
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Search and Matching for Adoption from Foster Care
Dierks, Ludwig
Olberg, Nils
Seuken, Sven
Slaugh, Vincent W.
Ünver, M. Utku
Computer Science and Game Theory
To find families for the more than 70,000 children in need of adoptive placements, most United States child welfare agencies have employed a family-driven search approach in which prospective families respond to announcements made by the agency. However, some agencies have switched to a caseworker-driven search approach in which the caseworker directly contacts families recommended for a child. We introduce a novel search-and-matching model that captures the key features of the adoption process and compare family-driven with caseworker-driven search in a game-theoretical framework. Under either approach, the equilibria are generated by threshold strategies and form a lattice structure. Our main theoretical finding then shows that no family-driven equilibrium can Pareto dominate any caseworker-driven outcome, whereas it is possible that each caseworker-driven equilibrium Pareto dominates every equilibrium attainable under family-driven search. We also find that, within our model, when families are sufficiently impatient, caseworker-driven search is better for all children. We numerically illustrate that most agents are better off under caseworker-driven search across a wide range of parameter values. Finally, we present an empirical study of an agency that switched to caseworker-driven search, finding a three-year adoption probability that outperformed a statewide benchmark by 44.9%, along with a statistically significant 54% higher adoption hazard rate.
title Search and Matching for Adoption from Foster Care
topic Computer Science and Game Theory
url https://arxiv.org/abs/2103.10145