Procedurally Fair and Stable Matching

We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al., 1999) and the random order mechanism (Roth and Vande Vate, 1990, Ma, 1996). For both mechanisms we give various examples of probability distributions on the set of stable matchings and discuss properties that differentiate employment by lotto and the random order mechanism. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism, that combines aspects of procedural and "endstate'' fairness. Aldershof et al. (1999) and Ma (1996) that exist on the probability distribution induced by both mechanisms. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism.procedural fairness, random mechanism, stability, two-sided matching

Ten Key Findings From Responsible Fatherhood Initiatives

Fatherhood is crucial to child development and presents challenges to poor unmarried men. Yet services addressing these problems are not highly developed or widespread, and program results so far have been mixed. This paper analyzes five programs that support low-income noncustodial fathers and presents takeaway lessons

Responsible Government: Investing in the Well-Being of Black Fathers, Families and Communities

Beginning with a summary of the history of public policy contributions to poverty and racial inequity in America, the report describes how this context impacts black fathers, and how their circumstances and choices in turn affect black children. It concludes with an overview of the Julia Carson Responsible Fatherhood and Healthy Families Act of 2009 (which subsequently died and was re-introduced in 2011 and 2013)

Family Structure and Wellbeing of Out-of-Wedlock Children: The Significance of the Biological Parents' Relationship

This study examines the effects of the relationship structure between biological parents on infant health and behavior using a sample of children born to unmarried parents in the United States. Using descriptive and multivariate analysis, we find that: (1) There is no difference in child wellbeing measured at age one between children whose biological parents marry within the first year after childbirth, and children whose biological parents remain in a cohabiting union; (2) The relationship structure of the biological parents matters most at childbirth with children born to cohabiting biological parents realizing better outcomes, on average, than those born to mothers who are less involved with the child’s father; and (3) Children born to cohabiting or visiting parents who end their relationship within the first year of the child’s life are up to 9 percent more likely to have asthma compared to children of continuously cohabiting, continuously visiting, cohabiting-at-birth or visiting at-birth and married-subsequently biological parents.Marriage, Cohabitation, Infant Wellbeing, Fragile Families, Child Asthma

Local search for stable marriage problems

The stable marriage (SM) problem has a wide variety of practical applications, ranging from matching resident doctors to hospitals, to matching students to schools, or more generally to any two-sided market. In the classical formulation, n men and n women express their preferences (via a strict total order) over the members of the other sex. Solving a SM problem means finding a stable marriage where stability is an envy-free notion: no man and woman who are not married to each other would both prefer each other to their partners or to being single. We consider both the classical stable marriage problem and one of its useful variations (denoted SMTI) where the men and women express their preferences in the form of an incomplete preference list with ties over a subset of the members of the other sex. Matchings are permitted only with people who appear in these lists, an we try to find a stable matching that marries as many people as possible. Whilst the SM problem is polynomial to solve, the SMTI problem is NP-hard. We propose to tackle both problems via a local search approach, which exploits properties of the problems to reduce the size of the neighborhood and to make local moves efficiently. We evaluate empirically our algorithm for SM problems by measuring its runtime behaviour and its ability to sample the lattice of all possible stable marriages. We evaluate our algorithm for SMTI problems in terms of both its runtime behaviour and its ability to find a maximum cardinality stable marriage.For SM problems, the number of steps of our algorithm grows only as O(nlog(n)), and that it samples very well the set of all stable marriages. It is thus a fair and efficient approach to generate stable marriages.Furthermore, our approach for SMTI problems is able to solve large problems, quickly returning stable matchings of large and often optimal size despite the NP-hardness of this problem.Comment: 12 pages, Proc. COMSOC 2010 (Third International Workshop on Computational Social Choice

Coalitions and Cliques in the School Choice Problem

The school choice mechanism design problem focuses on assignment mechanisms matching students to public schools in a given school district. The well-known Gale Shapley Student Optimal Stable Matching Mechanism (SOSM) is the most efficient stable mechanism proposed so far as a solution to this problem. However its inefficiency is well-documented, and recently the Efficiency Adjusted Deferred Acceptance Mechanism (EADAM) was proposed as a remedy for this weakness. In this note we describe two related adjustments to SOSM with the intention to address the same inefficiency issue. In one we create possibly artificial coalitions among students where some students modify their preference profiles in order to improve the outcome for some other students. Our second approach involves trading cliques among students where those involved improve their assignments by waiving some of their priorities. The coalition method yields the EADAM outcome among other Pareto dominations of the SOSM outcome, while the clique method yields all possible Pareto optimal Pareto dominations of SOSM. The clique method furthermore incorporates a natural solution to the problem of breaking possible ties within preference and priority profiles. We discuss the practical implications and limitations of our approach in the final section of the article

Evaluating Rawls: Equality in the Family

This paper examines the latest developments in feminist critiques of the seminal Theory of Justice, written by John Rawls, the late preeminent American moral philosopher. Rawls is recognized as one of the most influential moral political philosophers of the twentieth century and is increasingly relevant because of his discussions on pluralist societies. With the current diverging of liberal, conservative and libertarian philosophies among Americans, as well as the fragmentation of parties to accommodate an increasingly diverse public, a clear philosophy and understanding of liberal theory is necessary for its future in American politics. The current pressure to address the needs of oppressed groups such as women and sexual minorities has created a philosophical tipping point. What is to be considered equality, how the government should involve itself, and how this will be done feasibly and throughout generations need answers defined on all sides of the discussion. Gender and sexual inequality, when considering what should be done, is one of the most significant challenges because of its effect on the traditional family, on centuries of preconceived notions of gender and sexuality, and the heavy commitment it may take to extinguish. To analyze the social contract approach and the theory of justice as fairness, I will examine and then follow Rawls’ own method of the original position to determine in which manner the family should be situated within society to result in the best accordance to the two principles. Furthermore, the arguments on the reasonability of religion in a political conception will be used to promote a fair and stable society. The overall aim is to develop a Rawlsian solution to gender equality in society that is both fair and sustainable in a pluralistic society. Focusing on the role of the family in society, I argue that Rawls’ fundamental concept of justice – “justice as fairness” – does not develop a clear and convincing stance on how gender equality will be produced (and reproduced) in a pluralistic society. Debate has risen between feminist and liberal philosophers in distinguishing the relationship between Rawls’ two principles of justice and their intervention in family hierarchy, duties, and responsibilities. The two principles are known as: First Principle: Each person has the same indefeasible claim to a fully adequate scheme of equal basic liberties, which scheme is compatible with the same scheme of liberties for all; Second Principle: Social and economic inequalities are to satisfy two conditions: They are to be attached to offices and positions open to all under conditions of fair equality of opportunity; They are to be to the greatest benefit of the least-advantaged members of society (the difference principle). (JF, 42-43) The distinction between an indirect and direct interaction between principles of justice and the basic structures of society (family being one of them) will shape the way the political arena promotes equality. This is the case, provided that the procedure in which Rawls utilizes is fair in itself, which has come into contention among feminist thinkers. Once the family is situated in the original position, the feasibility of the theory will be discussed within the parameters of a property-owning democracy as well as, more specifically, a deliberative democracy. This solution should bring a reflective justification for the principles abilities to deal with injustices outlined by feminists

Family structure and wellbeing of out-of-wedlock children

This study examines the role of the relationship between the biological parents in determining child wellbeing using longitudinal data from the Fragile Families and Child Wellbeing Study (FFCWS). We extend prior research by considering children born to unmarried parents in an investigation of the effect of the relationship structure between the biological parents on infant health and behavior. The main findings are that children born to cohabiting biological parents (i) realize better outcomes, on average, than those born to mothers who are less involved with the child's biological father, and (ii) whose parents marry within a year after childbirth do not display significantly better outcomes than children of parents who continue to cohabit. Furthermore, children born to cohabiting or visiting biological parents who end their relationship within the first year of the child's life are up to 9 percent more likely to have asthma compared to children whose biological parents remain (romantically) involved. The results are robust to a rich set of controls for socioeconomic status, health endowments, home investments, and relationship characteristics.child asthma, cohabitation, family, fragile families, infant wellbeing, marriage

Fatherhood Initiatives: Connecting Fathers to Their Children

[Excerpt] In 2013, almost 25% of families with children (under age 18) were maintained by mothers. According to some estimates, about 60% of children born during the 1990s spent a significant portion of their childhood in a home without their father. Research indicates that children raised in single-parent families are more likely than children raised in two-parent families (with both biological parents) to do poorly in school, have emotional and behavioral problems, become teenage parents, and have poverty-level incomes. In hopes of improving the long-term outlook for children in single-parent families, federal, state, and local governments, along with public and private organizations, are supporting programs and activities that promote the financial and personal responsibility of noncustodial fathers to their children and increase the participation of fathers in the lives of their children. These programs have come to be known as “responsible fatherhood” programs. Sources of federal funding for fatherhood programs include the Temporary Assistance for Needy Families (TANF) program, TANF state Maintenance-of-Effort (MOE) funding, Child Support Enforcement (CSE) funds, and Social Services Block Grant (Title XX) funds. The federal government’s support of fatherhood initiatives raises a wide array of issues. This report briefly examines the role of the CSE agency in fatherhood programs and discusses initiatives to promote and support father-child interaction outside the parents’ relationship