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Title: The impact of input and output farm subsidies on farmer welfare, income disparity, and consumer surplus
Authors: Tang, CS
Wang, Y 
Zhao, M
Issue Date: May-2024
Source: Management science, May 2024, v. 70, no. 5, p. 3144-3161
Abstract: Because of a growing population and shrinking arable land, the world is facing a global food crisis. One important solution could be to subsidize farmers to sustain their production so that they can produce more food for consumers and earn more money for themselves. An efficient subsidy program should also aim to reduce income inequality among farmers, as measured by the Gini coefficient of farmers’ income. In this paper, we examine and compare the effects of input and output farm subsidy programs. The input subsidy reduces the farmers’ input purchasing costs, whereas the output subsidy reduces the farmers’ output processing costs. By considering a continuum of infinitesimal price-taking farmers who are heterogeneous in their average yield rates, our equilibrium analysis of a game-theoretical model yields three results. First, both subsidy schemes reduce the aggregate income inequality measured by the Gini coefficient. However, they create the following “opposite” effects: the input subsidy decreases the income gap among farmers (under mild conditions), whereas the output subsidy increases it. Second, farmers with low yield rates prefer the input subsidy, whereas farmers with high yield rates prefer the output subsidy. Third, the output subsidy scheme is more effective in improving the total farmer income than the input subsidy scheme, whereas the input subsidy scheme is more effective in reducing income disparities and improving consumer surplus than the output subsidy scheme. Our results provide new insights for policymakers who are crafting subsidy schemes.
Keywords: Consumer surplus
Farmer welfare
Game theory
Gini coefficient
Subsidy scheme
Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
Journal: Management science 
ISSN: 0025-1909
EISSN: 1526-5501
DOI: 10.1287/mnsc.2023.4850
Rights: Copyright: © 2023 The Author(s)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. You are free to download this work and share with others,but cannot change in any way or use commercially without permission, and you must attribute thiswork as “Management Science. Copyright © 2023 The Author(s). https://doi.org/10.1287/mnsc.2023.4850, used under a Creative Commons Attribution License: https://creativecommons.org/licenses/by-nc-nd/4.0/."
The following publication Christopher S. Tang, Yulan Wang, Ming Zhao (2023) The Impact of Input and Output Farm Subsidies on Farmer Welfare, Income Disparity, and Consumer Surplus. Management Science 70(5):3144-3161 is available at https://doi.org/10.1287/mnsc.2023.4850.
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