IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/36932.html
   My bibliography  Save this paper

Lyapunov stability in an evolutionary game theory model of the labor market

Author

Listed:
  • Araujo, Ricardo Azevedo
  • Moreira, Helmar Nunes

Abstract

In this paper the existence and stability of equilibria in an evolutionary game theory model of the labor market is studied by using the Lyapunov method. The model display multiple equilibria and it is shown that the Nash Equilibria of the static game are evolutionary stable equilibria in the game theory evolutionary set up. In this vein a complete characterization of the dynamics of an evolutionary model of the labor market is provided.

Suggested Citation

  • Araujo, Ricardo Azevedo & Moreira, Helmar Nunes, 2011. "Lyapunov stability in an evolutionary game theory model of the labor market," MPRA Paper 36932, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:36932
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/36932/1/MPRA_paper_36932.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Fortin, Bernard & Marceau, Nicolas & Savard, Luc, 1997. "Taxation, wage controls and the informal sector," Journal of Public Economics, Elsevier, vol. 66(2), pages 293-312, November.
    2. G. Fagiolo & G. Dosi & R. Gabriele, 2004. "Matching, Bargaining, And Wage Setting In An Evolutionary Model Of Labor Market And Output Dynamics," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 7(02), pages 157-186.
    3. Friedrich Schneider & Dominik Enste, 1999. "Shadow Economies Around the World - Size, Causes, and Consequences," CESifo Working Paper Series 196, CESifo.
    4. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    5. Araujo, Ricardo Azevedo & de Souza, Nathalia Almeida, 2010. "An evolutionary game theory approach to the dynamics of the labour market: A formal and informal perspective," Structural Change and Economic Dynamics, Elsevier, vol. 21(2), pages 101-110, May.
    6. Redding, Stephen, 1996. "The Low-Skill, Low-Quality Trap: Strategic Complementarities between Human Capital and R&D," Economic Journal, Royal Economic Society, vol. 106(435), pages 458-470, March.
    7. Enlinson Mattos & Laudo M. Ogura, 2009. "Skill differentiation between formal and informal employment," Journal of Economic Studies, Emerald Group Publishing Limited, vol. 36(5), pages 461-480, September.
    8. Benhabib, Jess & Spiegel, Mark M., 1994. "The role of human capital in economic development evidence from aggregate cross-country data," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 143-173, October.
    9. Snower, Dennis J., 1994. "The Low-Skill, Bad-Job Trap," CEPR Discussion Papers 999, C.E.P.R. Discussion Papers.
    10. Fiess, Norbert M. & Fugazza, Marco & Maloney, William F., 2010. "Informal self-employment and macroeconomic fluctuations," Journal of Development Economics, Elsevier, vol. 91(2), pages 211-226, March.
    11. Wirl, Franz & Feichtinger, Gustav, 2005. "History dependence in concave economies," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 390-407, August.
    12. Loayza, Norman V. & Rigolini, Jamele, 2006. "Informality trends and cycles," Policy Research Working Paper Series 4078, The World Bank.
    13. Victor Hiller, 2010. "Workers' Behavior And Labor Contract: An Evolutionary Approach," Metroeconomica, Wiley Blackwell, vol. 61(1), pages 152-179, February.
    14. Daron Acemoglu, 1998. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(4), pages 1055-1089.
    15. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, April.
    16. Maloney, William F., 2004. "Informality Revisited," World Development, Elsevier, vol. 32(7), pages 1159-1178, July.
    17. Straub, Stéphane, 2005. "Informal sector: The credit market channel," Journal of Development Economics, Elsevier, vol. 78(2), pages 299-321, December.
    18. Vega-Redondo, Fernando (ed.), 1996. "Evolution, Games, and Economic Behaviour," OUP Catalogue, Oxford University Press, number 9780198774723.
    19. Daron Acemoglu, 2002. "Technical Change, Inequality, and the Labor Market," Journal of Economic Literature, American Economic Association, vol. 40(1), pages 7-72, March.
    20. Loayza, Norman V., 1996. "The economics of the informal sector: a simple model and some empirical evidence from Latin America," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 45(1), pages 129-162, December.
    21. Rauch, James E., 1991. "Modelling the informal sector formally," Journal of Development Economics, Elsevier, vol. 35(1), pages 33-47, January.
    22. Andrea Mario Lavezzi, 2006. "On High‐Skill And Low‐Skill Equilibria: A Markov Chain Approach," Metroeconomica, Wiley Blackwell, vol. 57(2), pages 121-157, May.
    23. Dominik H. Enste & Friedrich Schneider, 2000. "Shadow Economies: Size, Causes, and Consequences," Journal of Economic Literature, American Economic Association, vol. 38(1), pages 77-114, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hu, Yu & Chi, Yuanying & Zhou, Wenbing & Li, Jialin & Wang, Zhengzao & Yuan, Yongke, 2023. "The interactions between renewable portfolio standards and carbon emission trading in China: An evolutionary game theory perspective," Energy, Elsevier, vol. 271(C).
    2. Li, Ye & Yang, Tianjian & Zhang, Yu, 2022. "Evolutionary game theory-based system dynamics modeling for community solid waste classification in China," Utilities Policy, Elsevier, vol. 79(C).
    3. Narges TALEBIMOTLAGH & Farzad HASHEMZADEH & Amir RIKHTEHGAR GHIASI & Sehraneh GHAEMI, 2017. "A Novel Method of Modeling Dynamic Evolutionary Game with Rational Agents for Market Forecasting," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(1), pages 281-302.
    4. Julio B. Clempner, 2018. "On Lyapunov Game Theory Equilibrium: Static and Dynamic Approaches," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-14, June.
    5. Jing Gong & Hongyan Du & Yong Sun, 2023. "Collaboration among Governments, Pesticide Operators, and Farmers in Regulating Pesticide Operations for Agricultural Product Safety," Agriculture, MDPI, vol. 13(12), pages 1-22, December.

    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. Araujo, Ricardo Azevedo, 2011. "Lyapunov Stability in an Evolutionary Game Theory Model of the Labor Market," MPRA Paper 29957, University Library of Munich, Germany.
    2. Araujo, Ricardo Azevedo & Loureiro, Paulo Roberto & Souza, Nathalia Almeida, 2011. "An Empirical Evaluation of an Evolutionary Game Theory Model of the Labor Market," MPRA Paper 30408, University Library of Munich, Germany.
    3. Nicoletta Batini & Young-Bae Kim & Paul Levine & Emanuela Lotti, 2009. "Informal Labour and Credit Markets: A Survey," School of Economics Discussion Papers 0609, School of Economics, University of Surrey.
    4. Bennett, John, 2008. "Formality, Informality, and Social Welfare," IZA Discussion Papers 3550, Institute of Labor Economics (IZA).
    5. Adam, Antonis & Kammas, Pantelis, 2012. "(Tax evasion) power to the people: does "early democratization" increase the size of the informal sector?," MPRA Paper 43343, University Library of Munich, Germany.
    6. Zenou, Yves, 2008. "Job search and mobility in developing countries. Theory and policy implications," Journal of Development Economics, Elsevier, vol. 86(2), pages 336-355, June.
    7. McKenzie, David & Seynabou Sakho, Yaye, 2010. "Does it pay firms to register for taxes? The impact of formality on firm profitability," Journal of Development Economics, Elsevier, vol. 91(1), pages 15-24, January.
    8. John Bennett, 2010. "Informal firms in developing countries: entrepreneurial stepping stone or consolation prize?," Small Business Economics, Springer, vol. 34(1), pages 53-63, January.
    9. Caro, Paolo Di & Sacchi, Agnese, 2020. "The heterogeneous effects of labor informality on VAT revenues: Evidence on a developed country," Journal of Macroeconomics, Elsevier, vol. 63(C).
    10. Amin, Mohammad & Islam, Asif, 2015. "Are Large Informal Firms More Productive than the Small Informal Firms? Evidence from Firm-Level Surveys in Africa," World Development, Elsevier, vol. 74(C), pages 374-385.
    11. Áureo de Paula & Jose A. Scheinkman, 2010. "Value-Added Taxes, Chain Effects, and Informality," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 195-221, October.
    12. Arbex, Marcelo & Galvao, Antonio F. & Gomes, Fábio Augusto Reis, 2010. "Heterogeneity in the Returns to Education and Informal Activities," Insper Working Papers wpe_216, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    13. Loayza, Norman V. & Rigolini, Jamele, 2011. "Informal Employment: Safety Net or Growth Engine?," World Development, Elsevier, vol. 39(9), pages 1503-1515, September.
    14. Dossè Mawussi DJAHINI-AFAWOUBO, 2023. "Niveau d’éducation et probabilité d’être employé dans le secteur informel au Togo," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 57, pages 29-48.
    15. Strand, Jon, 2005. "Tax distortions, household production, and black-market work," European Journal of Political Economy, Elsevier, vol. 21(4), pages 851-871, December.
    16. Maarek, Paul, 2012. "Labor share, informal sector and development," MPRA Paper 38756, University Library of Munich, Germany.
    17. Zoë Kuehn, 2014. "Tax Rates, Governance, And The Informal Economy In High-Income Countries," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 405-430, January.
    18. Colombo, Emilio & Onnis, Luisanna & Tirelli, Patrizio, 2016. "Shadow economies at times of banking crises: Empirics and theory," Journal of Banking & Finance, Elsevier, vol. 62(C), pages 180-190.
    19. Gatti, Roberta & Honorati, Maddalena, 2007. "Informality among Formal Firms: Firm-level, Cross-country Evidence on Tax Compliance and Access to Credit," CEPR Discussion Papers 6597, C.E.P.R. Discussion Papers.
    20. Ozan Hatipoglu & Gulenay Ozbek, 2011. "On the political economy of the informal sector and income redistribution," European Journal of Law and Economics, Springer, vol. 32(1), pages 69-87, August.

    More about this item

    Keywords

    Evolutionary game theory approach; labour market; informal economy; Lyapunov function;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • J23 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Demand

    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:pra:mprapa:36932. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.