IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v7y2017i3d10.1007_s13235-016-0192-4.html
   My bibliography  Save this article

Cooperative and Noncooperative Extraction in a Common Pool with Habit Formation

Author

Listed:
  • Sébastien Rouillon

    (GREThA - University of Bordeaux)

Abstract

The present paper considers the exploitation of a common-property, nonrenewable resource, by individuals subject to habit formation. We formalize their behavior by means of a utility function, depending on the difference between the individuals’ current consumption and the consumption level which they aspire, the latter being a weighted average of past consumptions in the population. We derive and compare the benchmark cooperative solution and a noncooperative Markov-perfect Nash equilibrium of the differential game. We investigate how the intensity, persistence and initial level of habits shape the cooperative and noncooperative solutions. We prove that habit formation may either mitigate or worsen the tragedy of the commons.

Suggested Citation

  • Sébastien Rouillon, 2017. "Cooperative and Noncooperative Extraction in a Common Pool with Habit Formation," Dynamic Games and Applications, Springer, vol. 7(3), pages 468-491, September.
  • Handle: RePEc:spr:dyngam:v:7:y:2017:i:3:d:10.1007_s13235-016-0192-4
    DOI: 10.1007/s13235-016-0192-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-016-0192-4
    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/s13235-016-0192-4?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Sébastien Rouillon, 2014. "Do Social Status Seeking Behaviors Worsen the Tragedy of the Commons?," Dynamic Games and Applications, Springer, vol. 4(1), pages 73-94, March.
    2. Becker, Gary S, 1974. "A Theory of Social Interactions," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1063-1093, Nov.-Dec..
    3. Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005. "Growth, habit formation, and catching-up with the Joneses," European Economic Review, Elsevier, vol. 49(6), pages 1665-1691, August.
    4. Van Long, Ngo & McWhinnie, Stephanie F., 2012. "The tragedy of the commons in a fishery when relative performance matters," Ecological Economics, Elsevier, vol. 81(C), pages 140-154.
    5. Ricardo Josa-Fombellida & Juan Rincón-Zapatero, 2015. "Euler–Lagrange equations of stochastic differential games: application to a game of a productive asset," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 61-108, May.
    6. Gary S. Becker, 1992. "Habits, Addictions, and Traditions," Kyklos, Wiley Blackwell, vol. 45(3), pages 327-345, August.
    7. Sébastien Rouillon, 2014. "Do Social Status Seeking Behaviors Worsen the Tragedy of the Commons?," Dynamic Games and Applications, Springer, vol. 4(1), pages 73-94, March.
    8. Kenneth J. Arrow & Partha S. Dasgupta, 2009. "Conspicuous Consumption, Inconspicuous Leisure," Economic Journal, Royal Economic Society, vol. 119(541), pages 497-516, November.
    9. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    10. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
    11. Alessie, Rob & Lusardi, Annamaria, 1997. "Consumption, saving and habit formation," Economics Letters, Elsevier, vol. 55(1), pages 103-108, August.
    12. Roman Naryshkin & Matt Davison, 2009. "Utility Function and Optimum Consumption in the models with Habit Formation and Catching up with the Joneses," Papers 0909.3655, arXiv.org.
    13. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, December.
    14. Tapan Mitra & Gerhard Sorger, 2015. "Noncooperative Resource Exploitation by Patient Players," Dynamic Games and Applications, Springer, vol. 5(3), pages 361-377, September.
    15. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-543, June.
    16. repec:bla:kyklos:v:45:y:1992:i:3:p:327-45 is not listed on IDEAS
    17. Easterlin, Richard A, 2001. "Income and Happiness: Towards an Unified Theory," Economic Journal, Royal Economic Society, vol. 111(473), pages 465-484, July.
    18. Harl E. Ryder & Geoffrey M. Heal, 1973. "Optimal Growth with Intertemporally Dependent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(1), pages 1-31.
    19. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.
    20. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    21. Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
    22. Harald Uhlig & Lars Ljungqvist, 2000. "Tax Policy and Aggregate Demand Management under Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 90(3), pages 356-366, June.
    23. J. P. Rincón-Zapatero & J. Martínez & G. Martín-Herrán, 1998. "New Method to Characterize Subgame Perfect Nash Equilibria in Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 96(2), pages 377-395, February.
    24. Pollak, Robert A, 1970. "Habit Formation and Dynamic Demand Functions," Journal of Political Economy, University of Chicago Press, vol. 78(4), pages 745-763, Part I Ju.
    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. Bertrand Crettez & Naila Hayek & Lisa Morhaim, 2019. "Growth and Insecure Private Property of Capital," Dynamic Games and Applications, Springer, vol. 9(4), pages 1042-1060, 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. Jaime Alonso-Carrera & Jordi Caball?Author-Email: jordi.caballe@uab.es & Xavier Raurich, 2001. "Income Taxation with Habit Formation and Consumption Externalities," UFAE and IAE Working Papers 496.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    2. van den Bijgaart, I.M., 2017. "Too slow a change? Deep habits, consumption shifts and transitory tax," Working Papers in Economics 701, University of Gothenburg, Department of Economics.
    3. van den Bijgaart, Inge, 2016. "Essays in environmental economics and policy," Other publications TiSEM 298bee2a-cb08-4173-9fe1-8, Tilburg University, School of Economics and Management.
    4. Sébastien Rouillon, 2014. "Do Social Status Seeking Behaviors Worsen the Tragedy of the Commons?," Dynamic Games and Applications, Springer, vol. 4(1), pages 73-94, March.
    5. Inge van den Bijgaart, 2018. "Too Slow a Change? Deep Habits, Consumption Shifts and Transitory Tax Policy," CESifo Working Paper Series 6958, CESifo.
    6. Aronsson, Thomas & Johansson-Stenman, Olof, 2014. "Positional preferences in time and space: Optimal income taxation with dynamic social comparisons," Journal of Economic Behavior & Organization, Elsevier, vol. 101(C), pages 1-23.
    7. Jaime Alonso‐Carrera & Jordi Caballé & Xavier Raurich, 2004. "Consumption Externalities, Habit Formation and Equilibrium Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(2), pages 231-251, June.
    8. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    9. Jim Malley & Hassan Molana, 2002. "The Life-Cycle-Permanent-Income Model: A Reinterpretation and Supporting Evidence," Working Papers 2002_17, Business School - Economics, University of Glasgow.
    10. Turnovsky, Stephen J. & Monteiro, Goncalo, 2007. "Consumption externalities, production externalities, and efficient capital accumulation under time non-separable preferences," European Economic Review, Elsevier, vol. 51(2), pages 479-504, February.
    11. Jim Malley & Hassan Molana, 2003. "The Life-Cycle-Permanent- Income Hypothesis: A Reinterpretation and Supporting Evidence," Dundee Discussion Papers in Economics 138, Economic Studies, University of Dundee.
    12. Morhaim, Lisa & Ulus, Ayşegül Yıldız, 2023. "On history-dependent optimization models: A unified framework to analyze models with habits, satiation and optimal growth," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    13. Gómez Manuel A., 2010. "Endogenous Growth, Habit Formation and Convergence Speed," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-32, January.
    14. Aronsson, Thomas & Johansson-Stenman, Olof, 2013. "Publicly Provided Private Goods and Optimal Taxation when Consumers Have Positional Preferences," Working Papers in Economics 558, University of Gothenburg, Department of Economics.
    15. Goncalo Monteiro & Stephen Turnovsky, 2013. "Anticipated Consumption and its Impact on Capital Accumulation and Growth: 'Forward-Looking' vs. 'Backward-Looking' Consumption Reference," CESifo Working Paper Series 4536, CESifo.
    16. Bibaswan Chatterjee & Rolando Escobar‐Posada & Goncalo Monteiro, 2023. "Anticipation in leisure—Effects on labor‐leisure choice," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(2), pages 384-412, June.
    17. Monteiro, Goncalo & Cook, Adam & Dey, Sanjoy, 2013. "Optimal tax policy under habit formation and capital utilization," Journal of Macroeconomics, Elsevier, vol. 37(C), pages 230-248.
    18. Pagano, Patrizio, 2004. "Habit persistence and the marginal propensity to consume in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 18(3), pages 316-329, September.
    19. Constantin Chilarescu & Ioana Viasu, 2016. "A Closed-form Solution of a Two-sector Endogenous Growth Model with Habit Formation," Australian Economic Papers, Wiley Blackwell, vol. 55(2), pages 112-127, June.
    20. Evangelos V. Dioikitopoulos & Stephen J. Turnovsky & Ronald Wendner, 2020. "Dynamic Status Effects, Savings, And Income Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(1), pages 351-382, February.

    More about this item

    Keywords

    Differential games; Nonrenewable resource; Common-property; Habits; Social status;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    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:dyngam:v:7:y:2017:i:3:d:10.1007_s13235-016-0192-4. 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.