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Decentralized Finance and Local Public Goods: A Bayesian Maximum Entropy Model of School District Spending in the U.S

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  • Juan Melo

Abstract

This paper investigates the distribution of public school expenditures across U.S. school districts using a bayesian maximum entropy model. Covering the period 2000-2016, I explore how inter-jurisdictional competition and household choice influence spending patterns within the public education sector, providing a novel empirical treatment of the Tiebout hypothesis within a statistical equilibrium framework. The analysis reveals that these expenditures are characterized by sharply peaked and positively skewed distributions, suggesting significant socioeconomic stratification. Employing Bayesian inference and Markov Chain Monte Carlo (MCMC) sampling, I fit these patterns into a statistical equilibrium model to elucidate the roles of competition, as well as household mobility and arbitrage in shaping the distribution of educational spending. The analysis reveals how the scale parameters associated with competition and household choice critically shape the equilibrium outcomes. The model and analysis offer a statistical basis for shaping policy measures intended to affect distributional outcomes in scenarios characterized by the decentralized provision of local public goods.

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  • Juan Melo, 2024. "Decentralized Finance and Local Public Goods: A Bayesian Maximum Entropy Model of School District Spending in the U.S," Papers 2404.17700, arXiv.org.
    • Handle: RePEc:arx:papers:2404.17700
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    1. Nechyba, Thomas, 2003. "School finance, spatial income segregation, and the nature of communities," Journal of Urban Economics, Elsevier, vol. 54(1), pages 61-88, July.
    2. Soofi, E. S. & Retzer, J. J., 2002. "Information indices: unification and applications," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 17-40, March.
    3. Shaikh, Anwar, 2016. "Capitalism: Competition, Conflict, Crises," OUP Catalogue, Oxford University Press, number 9780199390632.
    4. Richard Abel Musgrave, 1939. "The Voluntary Exchange Theory of Public Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 53(2), pages 213-237.
    5. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    6. Nicolai V. Kuminoff & V. Kerry Smith & Christopher Timmins, 2010. "The New Economics of Equilibrium Sorting and its Transformational Role for Policy Evaluation," NBER Working Papers 16349, National Bureau of Economic Research, Inc.
    7. Alfarano, Simone & Milaković, Mishael & Irle, Albrecht & Kauschke, Jonas, 2012. "A statistical equilibrium model of competitive firms," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 136-149.
    8. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," BERG Working Paper Series 145, Bamberg University, Bamberg Economic Research Group.
    9. Mundt, Philipp & Oh, Ilfan, 2019. "Asymmetric competition, risk, and return distribution," Economics Letters, Elsevier, vol. 179(C), pages 29-32.
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