IDEAS home Printed from https://ideas.repec.org/a/spr/epolit/v40y2023i2d10.1007_s40888-022-00275-7.html
   My bibliography  Save this article

Inequality assessment in a dynamic framework with heterogenous agents

Author

Listed:
  • Arsen Palestini

    (Sapienza University of Rome)

  • Giuseppe Pignataro

    (University of Bologna)

Abstract

We propose a method to carry out an inequality assessment in a dynamic and cross-sectional framework, by applying the dynamic version of a suitable inequality index, such as the Gini coefficient, as a function of time. We use our methodology to a setup where the optimal value functions is the individuals’ income flows while the initial conditions characterize their level of wealth. When the Hamilton–Jacobi–Bellman system of equations can be solved in closed form, the monotone path of the income distribution is established. Extending the model according to a government intervention gives the possibility to study, first policy for reducing income inequality under a specific exogenous target, and second to minimise income inequality across individuals.

Suggested Citation

  • Arsen Palestini & Giuseppe Pignataro, 2023. "Inequality assessment in a dynamic framework with heterogenous agents," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 40(2), pages 469-494, July.
    • Handle: RePEc:spr:epolit:v:40:y:2023:i:2:d:10.1007_s40888-022-00275-7
    DOI: 10.1007/s40888-022-00275-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40888-022-00275-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40888-022-00275-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ranaldi, Marco, 2021. "Global Distributions of Capital and Labor Incomes: Capitalization of the Global Middle Class," SocArXiv 3g59r, Center for Open Science.
    2. Udo Ebert & Patrick Moyes, 2007. "Income Taxation with Labor Responses," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 653-682, August.
    3. Marc Fleurbaey & Vito Peragine, 2013. "Ex Ante Versus Ex Post Equality of Opportunity," Economica, London School of Economics and Political Science, vol. 80(317), pages 118-130, January.
    4. Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011. "Measuring long-term inequality of opportunity," Journal of Public Economics, Elsevier, vol. 95(3), pages 193-204.
    5. Alberto Alesina & Dani Rodrik, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 465-490.
    6. Bernasconi, Michele & Profeta, Paola, 2012. "Public education and redistribution when talents are mismatched," European Economic Review, Elsevier, vol. 56(1), pages 84-96.
    7. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
    8. Kets, Willemien & Iyengar, Garud & Sethi, Rajiv & Bowles, Samuel, 2011. "Inequality and network structure," Games and Economic Behavior, Elsevier, vol. 73(1), pages 215-226, September.
    9. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 569-587.
    10. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    11. Giuseppe Pignataro, 2012. "Equality Of Opportunity: Policy And Measurement Paradigms," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 800-834, December.
    12. Liu, Wen-Fang & Turnovsky, Stephen J., 2005. "Consumption externalities, production externalities, and long-run macroeconomic efficiency," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 1097-1129, June.
    13. Ines Lindner & Holger Strulik, 2004. "Distributive politics and economic growth: the Markovian Stackelberg solution," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 439-444, January.
    14. Mornet, Pauline, 2016. "On the axiomatization of the weakly decomposable inequality indices," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 71-78.
    15. Roberto Iacono & Marco Ranaldi, 2023. "The Evolution of Income Composition Inequality in Italy, 1989–2016," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 69(1), pages 124-149, March.
    16. Palestini, Arsen & Pignataro, Giuseppe, 2016. "A graph-based approach to inequality assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 65-78.
    17. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ferreira, Francisco H. G. & Peragine, Vito, 2015. "Equality of Opportunity: Theory and Evidence," IZA Discussion Papers 8994, Institute of Labor Economics (IZA).
    2. Aitor Calo-Blanco & J. García-Pérez, 2014. "On the welfare loss caused by inequality of opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(2), pages 221-237, June.
    3. Kristof Bosmans & Z. Emel Öztürk, 2021. "Measurement of inequality of opportunity: A normative approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 19(2), pages 213-237, June.
    4. Michael P. Keane & Eswar S. Prasad, 2002. "Inequality, Transfers, And Growth: New Evidence From The Economic Transition In Poland," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 324-341, May.
    5. Paolo Brunori & Francisco H. G. Ferreira & Vito Peragine, 2013. "Inequality of Opportunity, Income Inequality, and Economic Mobility: Some International Comparisons," Palgrave Macmillan Books, in: Eva Paus (ed.), Getting Development Right, chapter 0, pages 85-115, Palgrave Macmillan.
    6. ANDREOLI Francesco & HAVNES Tarjei & LEFRANC Arnaud, 2014. "Equalization of opportunity: Definitions, implementable conditions and application to early-childhood policy evaluation," LISER Working Paper Series 2014-12, Luxembourg Institute of Socio-Economic Research (LISER).
    7. X. Ramos & D. Van De Gaer, 2012. "Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 12/792, Ghent University, Faculty of Economics and Business Administration.
    8. Palestini, Arsen & Pignataro, Giuseppe, 2016. "A graph-based approach to inequality assessment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 455(C), pages 65-78.
    9. Tansel, Aysit, 2015. "Inequality of Opportunities of Educational Achievement in Turkey over Time," IZA Discussion Papers 9005, Institute of Labor Economics (IZA).
    10. George E. Halkos & George J. Papageorgiou, 2012. "Pollution Control Policy: A Dynamic Taxation Scheme," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(1), pages 14-37, March.
    11. Martin Ravallion, 2017. "Inequality and Poverty When Effort Matters," Econometrics, MDPI, vol. 5(4), pages 1-19, November.
    12. Xavier Ramos & Dirk Van de gaer, 2012. "Empirical approaches to inequality of opportunity: Principles, measures, and evidence," Working Papers 259, ECINEQ, Society for the Study of Economic Inequality.
    13. John E. Roemer & Alain Trannoy, 2013. "Equality of Opportunity," Cowles Foundation Discussion Papers 1921, Cowles Foundation for Research in Economics, Yale University.
    14. Jakub Bartak & Łukasz Jabłoński, 2020. "Inequality and growth: What comes from the different inequality measures?," Bulletin of Economic Research, Wiley Blackwell, vol. 72(2), pages 185-212, April.
    15. Francesco Andreoli & Tarjei Havnes & Arnaud Lefranc, 2019. "Robust Inequality of Opportunity Comparisons: Theory and Application to Early Childhood Policy Evaluation," The Review of Economics and Statistics, MIT Press, vol. 101(2), pages 355-369, May.
    16. Vito Peragine & Federico Biagi, 2019. "Equality of opportunity: theory, measurement and policy implications," JRC Research Reports JRC118542, Joint Research Centre.
    17. Günther Rehme, 2007. "Education, Economic Growth and Measured Income Inequality," Economica, London School of Economics and Political Science, vol. 74(295), pages 493-514, August.
    18. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    19. Casilda Lasso de la Vega & Ana Urrutia & Oscar Volij, 2011. "An Axiomatic Characterization Of The Theil Inequality Order," Working Papers 1103, Ben-Gurion University of the Negev, Department of Economics.
    20. Tugce, Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," SIRE Discussion Papers 2013-49, Scottish Institute for Research in Economics (SIRE).

    More about this item

    Keywords

    Gini; HJB equations; Feedback strategy; Optimal control theory;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H30 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:epolit:v:40:y:2023:i:2:d:10.1007_s40888-022-00275-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.