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| Family bargaining models | |
|---|---|
| Name | Family bargaining models |
| Field | Microeconomics; Household economics; Game theory |
| Introduced | 1970s–1980s |
| Notable figures | Gary Becker; Amartya Sen; John Nash; John Harsanyi; Robert Aumann; Elinor Ostrom; James Coleman; Nancy Folbre; Marianne Ferber; Angus Deaton |
Family bargaining models offer game-theoretic accounts of decision-making within households by treating family members as strategic agents with preferences, resources, and bargaining power. These models synthesize ideas from utility theory, cooperative and noncooperative bargaining, and welfare analysis to explain intrahousehold allocation of time, labor, goods, and income. Developed alongside influential work in development studies and welfare economics, family bargaining models connect to empirical research in labor markets, health, and demography.
Family bargaining models emerged from literature influenced by figures such as Gary Becker, Amartya Sen, John Nash, John Harsanyi, and Robert Aumann and institutions including World Bank, International Monetary Fund, and United Nations. Early formulations responded to critiques of unitary household models advanced by scholars like Elinor Ostrom, James Coleman, Nancy Folbre, and Marianne Ferber. Cross-disciplinary uptake occurred across departments affiliated with Harvard University, University of Chicago, Massachusetts Institute of Technology, London School of Economics, and Princeton University and informed programs at United Nations Children's Fund, World Health Organization, and Bill & Melinda Gates Foundation.
The theoretical foundations draw on cooperative bargaining solutions—such as the Nash bargaining solution—and on noncooperative dynamic games inspired by John Nash and Aumann's work on correlated equilibria. Influences include welfare-theoretic contributions by Amartya Sen and utility-maximization frameworks associated with Gary Becker and James Coleman. Institutional contexts and property-rights approaches trace to scholarship related to Elinor Ostrom and legal reforms prompted by cases in jurisdictions like Supreme Court of the United States decisions and statutory changes in countries such as India, United Kingdom, France, and Germany. Mathematically, models incorporate bargaining sets, threat points from outside options (e.g., labor-market wages discussed in studies linked to ILO and OECD analyses), and Pareto efficiency concepts influenced by work at National Bureau of Economic Research and by scholars affiliated with Stanford University and Columbia University.
Common formulations include the cooperative Nash-bargaining framework used by researchers influenced by John Nash and empirical implementations advanced by scholars publishing in journals linked to American Economic Association, Econometrica, Journal of Political Economy, and Quarterly Journal of Economics. Noncooperative models derive from dynamic bargaining games drawing on methods associated with Robert Aumann and John Harsanyi. Key specific models include collective household models developed in contexts tied to World Bank policy reports and academic work by economists at Harvard University, University of California, Berkeley, and London School of Economics that operationalize distribution factors such as individual endowments, legal entitlements, and access to social programs administered by agencies like Department for International Development and United States Agency for International Development. Extensions incorporate intra-household bargaining over labor supply, fertility, and human capital investments linked to studies by researchers at Institute for Fiscal Studies, National Institutes of Health, RAND Corporation, and Brookings Institution.
Empirical applications span developing-country contexts studied by teams at World Bank and United Nations Development Programme and high-income-country analyses from researchers at University of Chicago and NBER. Evidence uses randomized controlled trials promoted by J-PAL and observational approaches influenced by identification strategies used in work at National Bureau of Economic Research and IZA Institute of Labor Economics. Applications include household responses to cash-transfer programs such as conditional cash transfers evaluated in Mexico and Brazil, microcredit experiments linked to Bangladesh field studies, and labor-market shocks analyzed in contexts like Great Recession research. Outcomes measured include consumption patterns, child nutrition referenced in UNICEF reports, educational attainment studied in programs at World Bank Education units, and health investments explored in collaborations with World Health Organization.
Extensions integrate insights from behavioral economics shaped by experiments at Princeton University and Yale University and from feminist economics advanced by scholars associated with Cornell University and University of Massachusetts Amherst. Critiques arise from normative debates tied to welfare measurement influenced by Amartya Sen and from empirical concerns about identification highlighted by researchers at University of California, Berkeley and MIT. Methodological critiques reference limitations when applied to polygynous households studied in regions such as Sub-Saharan Africa and South Asia and to intergenerational bargaining contexts considered by demographers at Max Planck Institute for Demographic Research and Population Council. Legal and institutional critiques point to heterogeneity in property-rights regimes documented in comparative law studies at European Court of Human Rights and national courts including Supreme Court of India.
Policy implications inform program design by agencies like World Bank, United Nations Development Programme, Department for International Development, and United States Agency for International Development because intrahousehold allocation mediates impacts of cash transfers, tax policy, and social insurance. Recommendations intersect with reforms in family law enacted in jurisdictions such as India, United Kingdom, Canada, and South Africa and with international policy agendas promoted by United Nations conferences and World Health Organization initiatives. Empirical guidance underpins conditional cash-transfer designs in Mexico's Progresa program and Brazil's Bolsa Família program and informs labor-market policies discussed in reports by OECD, IMF, and ILO.