collective model

collective model
Name	collective model
Type	Theoretical framework
Introduced	20th century
Fields	John Maynard Keynes, Amartya Sen, Gary Becker
Notable examples	Household economics, Family bargaining models

collective model

The collective model is an analytical framework describing decision-making within multi-person units such as households, firms, coalitions, or teams. It contrasts with unitary approaches and links to literatures associated with John Maynard Keynes, Gary Becker, Amartya Sen, Vilfredo Pareto, and James Mirrlees. The model has influenced empirical work in fields connected to Organisation for Economic Co-operation and Development, World Bank, International Monetary Fund, United Nations Development Programme, and policy debates in jurisdictions like United Kingdom, United States, India, China, and Brazil.

Definition and Overview

The collective model defines allocation outcomes as the result of bargaining, negotiation, or cooperative optimization among distinct agents within a single decision-making unit, drawing on traditions represented by Edgeworth Box, Nash bargaining solution, John Nash, Lloyd Shapley, Elinor Ostrom, and Kenneth Arrow. It treats household or group outcomes as Pareto-efficient or as equilibrium outcomes under constraints articulated in texts by Gary Becker, Amartya Sen, Jean Tirole, and contributors at institutions like National Bureau of Economic Research, Centre for Economic Policy Research, and Brookings Institution. Applications appear in analyses by Thomas Piketty, Esther Duflo, Abhijit Banerjee, Angus Deaton, and Daron Acemoglu.

Theoretical Foundations

Foundations combine cooperative game theory, bargaining theory, and welfare economics with contributions from John Nash, Lloyd Shapley, Kenneth Arrow, Gerard Debreu, and Paul Samuelson. Core primitives—preferences, endowments, and feasibility—are formalized using constructs from Edgeworth Box, Pareto efficiency, and the Nash bargaining solution. The framework draws on household-centric studies by Gary Becker and critiques by Amartya Sen, and intersects with research programs at RAND Corporation, International Labour Organization, United Nations Children's Fund, and academic departments at Harvard University, Massachusetts Institute of Technology, London School of Economics, and University of Chicago.

Mathematical Formulation

Typical formulations posit individual utility functions U_i(·) for agents i within a set that may include spouses, parents, children, or partners; resource constraints reflect budgets, production, or external shocks characterized in studies connected to Robert Solow, Milton Friedman, Paul Krugman, Jan Tinbergen, and Robert Lucas Jr.. Solutions use Pareto weights or bargaining weights w_i and maximize weighted sums Σ w_i U_i subject to feasibility constraints, invoking theorems from Gerard Debreu and fixed-point results related to John Nash. Alternative formulations employ cooperative game representations with characteristic functions tied to the Shapley value and core concepts developed by Lloyd Shapley and Oliver Hart. Dynamic variants incorporate stochastic processes and intertemporal utility as in models by Finn Kydland, Edward Prescott, Robert Barro, and Douglas Diamond.

Empirical Applications and Evidence

Empirical work tests predictions of intra-unit allocation using instruments and experiments associated with Esther Duflo, Abhijit Banerjee, Angus Deaton, David Card, Alan Krueger, and field programs run by World Bank, United Nations, Oxfam International, and Bill & Melinda Gates Foundation. Key domains include consumption smoothing and labor supply in contexts studied in Panel Study of Income Dynamics, European Social Survey, Demographic and Health Surveys, and national surveys in Brazil, China, India, Mexico, and South Africa. Experimental and quasi-experimental evidence comes from randomized controlled trials influenced by methodologies in work by John List, Duncan Thomas, Christopher Udry, and Alberto Alesina. Findings address redistribution, public goods provision, fertility choices, and human capital investment with references to outcomes in programs by Conditional Cash Transfer initiatives such as Progresa/Oportunidades and evaluations tied to Millennium Development Goals.

Variants and Extensions

Variants include cooperative Pareto-efficient formulations, non-cooperative bargaining games, collective preferences with altruism as in models by Gary Becker, asymmetric-information extensions drawing on Michael Spence, Joseph Stiglitz, and contract-theoretic adaptations from Bengt Holmström and Oliver Hart. Extensions incorporate vertical hierarchies in firms related to Adolf Berle and Gardiner Means debates, networked decision-making studied by Matthew O. Jackson, and public-good dynamics explored by Elinor Ostrom and Elton Mayo. Cross-disciplinary extensions link to behavioral modifications inspired by Daniel Kahneman, Amos Tversky, Richard Thaler, and neuroeconomic perspectives developed at centers like Institute for Advanced Study and Max Planck Society.

Criticisms and Limitations

Critiques target identification, measurement of preferences, and assumptions about Pareto efficiency; prominent critics include Amartya Sen and scholars in feminist economics at Cornell University, University of Cambridge, and University of Oxford. Methodological limits arise from data constraints debated in forums at American Economic Association and Royal Economic Society, and from robustness concerns highlighted by work associated with Thomas Schelling, Kenneth Arrow, and Hernando de Soto. Political economy and cultural critiques reference case studies involving United Nations, World Bank, International Labour Organization, and country-specific analyses in Argentina, Chile, Nigeria, and Philippines. Ongoing debates engage researchers at National Bureau of Economic Research, Institute for Fiscal Studies, IZA Institute of Labor Economics, and policy units within European Commission.

Category:Household economics