Matching Items (2)
Description
In the first chapter, I study the two-sided, dynamic matching problem that occurs in the United States (US) foster care system. In this market, foster parents and foster children can form reversible foster matches, which may disrupt, continue in a reversible state, or transition into permanency via adoption. I first present an empirical analysis that yields four new stylized facts related to match transitions of children in foster care and their exit through adoption. Thereafter, I develop a two-sided dynamic matching model with five key features: (a) children are heterogeneous (with and without a disability), (b) children must be foster matched before being adopted, (c) children search for parents while foster matched to another parent, (d) parents receive a smaller per-period payoff when adopting than fostering (capturing the presence of a financial penalty on adoption), and (e) matches differ in their quality. I use the model to derive conditions for the stylized facts to arise in equilibrium and carry out predictions regarding match quality. The main insight is that the intrinsic disadvantage (being less preferred by foster parents) faced by children with a disability exacerbates due to the penalty. Moreover, I show that foster parents in high-quality matches (relative to foster parents in low-quality matches) might have fewer incentives to adopt.
In the second chapter, I study the Minnesota's 2015 Northstar Care Program which eliminated the adoption penalty (i.e., the decrease in fostering-based financial transfers associated with adoption) for children aged six and older, while maintaining it for children under age six. Using a differences-in-differences estimation strategy that controls for a rich set of covariates, I find that parents were responsive to the change in direct financial payments; the annual adoption rate of older foster children (aged six to eleven) increased by approximately 8 percentage points (24% at the mean) as a result of the program. I additionally find evidence of strategic adoption behavior as the adoption rate of younger children temporarily increased by 9 percentage points (23% at the mean) while the adoption rate of the oldest children (aged fifteen) temporarily decreased by 9 percentage points (65% at the mean) in the year prior to the program's implementation.
In the second chapter, I study the Minnesota's 2015 Northstar Care Program which eliminated the adoption penalty (i.e., the decrease in fostering-based financial transfers associated with adoption) for children aged six and older, while maintaining it for children under age six. Using a differences-in-differences estimation strategy that controls for a rich set of covariates, I find that parents were responsive to the change in direct financial payments; the annual adoption rate of older foster children (aged six to eleven) increased by approximately 8 percentage points (24% at the mean) as a result of the program. I additionally find evidence of strategic adoption behavior as the adoption rate of younger children temporarily increased by 9 percentage points (23% at the mean) while the adoption rate of the oldest children (aged fifteen) temporarily decreased by 9 percentage points (65% at the mean) in the year prior to the program's implementation.
ContributorsMacDonald, Diana Elizabeth (Author) / Chade, Hector (Thesis advisor) / Bishop, Kelly (Committee member) / Friedenberg, Amanda (Committee member) / Manelli, Alejandro (Committee member) / Arizona State University (Publisher)
Created2019
Description
In this paper, I study many-to-one matching markets in a dynamic framework with the
following features: Matching is irreversible, participants exogenously join the market
over time, each agent is restricted by a quota, and agents are perfectly patient. A
form of strategic behavior in such markets emerges: The side with many slots can
manipulate the subsequent matching market in their favor via earlier matchings. In
such a setting, a natural question arises: Is it possible to analyze a dynamic many-to-one
matching market as if it were either a static many-to-one or a dynamic one-to-one
market? First, I provide sufficient conditions under which the answer is yes. Second,
I show that if these conditions are not met, then the early matchings are "inferior"
to the subsequent matchings. Lastly, I extend the model to allow agents on one side
to endogenously decide when to join the market. Using this extension, I provide
a rationale for the small amount of unraveling observed in the United States (US)
medical residency matching market compared to the US college-admissions system.
Micro Finance Institutions (MFIs) are designed to improve the welfare of the poor.
Group lending with joint liability is the standard contract used by these institutions.
Such a contract performs two roles: it affects the composition of the groups that form,
and determines the properties of risk-sharing among their members. Even though the
literature suggests that groups consist of members with similar characteristics, there
is evidence also of groups with heterogeneous agents. The underlying reason is that
the literature lacked the risk-sharing behavior of the agents within a group. This
paper develops a model of group lending where agents form groups, obtain capital
from the MFI, and share risks among themselves. First, I show that joint liability
introduces inefficiency for risk-averse agents. Moreover, the composition of the groups
is not always homogeneous once risk-sharing is on the table.
following features: Matching is irreversible, participants exogenously join the market
over time, each agent is restricted by a quota, and agents are perfectly patient. A
form of strategic behavior in such markets emerges: The side with many slots can
manipulate the subsequent matching market in their favor via earlier matchings. In
such a setting, a natural question arises: Is it possible to analyze a dynamic many-to-one
matching market as if it were either a static many-to-one or a dynamic one-to-one
market? First, I provide sufficient conditions under which the answer is yes. Second,
I show that if these conditions are not met, then the early matchings are "inferior"
to the subsequent matchings. Lastly, I extend the model to allow agents on one side
to endogenously decide when to join the market. Using this extension, I provide
a rationale for the small amount of unraveling observed in the United States (US)
medical residency matching market compared to the US college-admissions system.
Micro Finance Institutions (MFIs) are designed to improve the welfare of the poor.
Group lending with joint liability is the standard contract used by these institutions.
Such a contract performs two roles: it affects the composition of the groups that form,
and determines the properties of risk-sharing among their members. Even though the
literature suggests that groups consist of members with similar characteristics, there
is evidence also of groups with heterogeneous agents. The underlying reason is that
the literature lacked the risk-sharing behavior of the agents within a group. This
paper develops a model of group lending where agents form groups, obtain capital
from the MFI, and share risks among themselves. First, I show that joint liability
introduces inefficiency for risk-averse agents. Moreover, the composition of the groups
is not always homogeneous once risk-sharing is on the table.
ContributorsAltinok, Ahmet (Author) / Chade, Hector (Thesis advisor) / Manelli, Alejandro (Committee member) / Friedenberg, Amanda (Committee member) / Kovrijnykh, Natalia (Committee member) / Arizona State University (Publisher)
Created2020