IDEAS home Printed from https://ideas.repec.org/p/luc/wpaper/14-26.html
   My bibliography  Save this paper

Stability and Cooperative Solution in Stochastic Games

Author

Listed:
  • Alessandro Tampieri

    (CREA, Université du Luxembourg)

  • Elena M. Parilina

    (Saint Petersburg State University)

Abstract

Cooperative game theory is effective in explaining many economic interactions, such as risk-sharing agreements or the enforcing role of social norms. In a stochastic environ- ment, the analysis of these issues is generalised by taking into account the presence of shocks. The paper finds the conditions of dynamic stability for cooperative stochastic games. Principles of dynamic stability include three conditions: subgame consistency, strategic stability and irrational-behaviour-proof of the cooperative agreement.

Suggested Citation

  • Alessandro Tampieri & Elena M. Parilina, 2014. "Stability and Cooperative Solution in Stochastic Games," DEM Discussion Paper Series 14-26, Department of Economics at the University of Luxembourg.
    • Handle: RePEc:luc:wpaper:14-26
    as

    Download full text from publisher

    File URL: https://hdl.handle.net/10993/18930
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Elon Kohlberg & Abraham Neyman, 2015. "The Cooperative Solution of Stochastic Games," Discussion Paper Series dp679, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Chen, Xi & Kanbur, Ravi & Zhang, Xiaobo, 2011. "Peer effects, risk pooling, and status seeking: What explains gift spending escalation in rural China?," IFPRI discussion papers 1151, International Food Policy Research Institute (IFPRI).
    3. Herings, P. Jean-Jacques & Peeters, Ronald J. A. P., 2004. "Stationary equilibria in stochastic games: structure, selection, and computation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 32-60, September.
    4. Kirman, Alan P & Sobel, Matthew J, 1974. "Dynamic Oligopoly with Inventories," Econometrica, Econometric Society, vol. 42(2), pages 279-287, March.
    5. Anne Case & Anu Garrib & Alicia Menendez & Analia Olgiati, 2013. "Paying the Piper: The High Cost of Funerals in South Africa," Economic Development and Cultural Change, University of Chicago Press, vol. 62(1), pages 1-20.
    6. Leon A Petrosyan & Nikolay A Zenkevich, 2016. "Game Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9824, January.
    7. Solan, Eilon & Vieille, Nicolas, 2002. "Correlated Equilibrium in Stochastic Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 362-399, February.
    8. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    9. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    10. Arthur Charpentier & Stéphane Mussard, 2011. "Income inequality games," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 529-554, December.
    11. Jaśkiewicz, Anna & Nowak, Andrzej S., 2014. "Stationary Markov perfect equilibria in risk sensitive stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 411-447.
    12. Abhijit V. Banerjee & Esther Duflo, 2007. "The Economic Lives of the Poor," Journal of Economic Perspectives, American Economic Association, vol. 21(1), pages 141-168, Winter.
    13. Anastasia Litina & Theodore Palivos, 2015. "Corruption and Tax Evasion: Reflections on Greek Tragedy," Working Papers 193, Bank of Greece.
    14. Messner, Matthias & Polborn, Mattias K., 2003. "Cooperation in Stochastic OLG games," Journal of Economic Theory, Elsevier, vol. 108(1), pages 152-168, January.
    15. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    16. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," LIDAM Discussion Papers CORE 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    18. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. AMIR, Rabah, 2001. "Stochastic games in economics: the lattice-theoretic approach," LIDAM Discussion Papers CORE 2001059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Lenter, David & Slemrod, Joel & Shackelford, Douglas A., 2003. "Public Disclosure of Corporate Tax Return Information: Accounting, Economics, and Legal Perspectives," National Tax Journal, National Tax Association;National Tax Journal, vol. 56(4), pages 803-830, December.
    21. repec:dau:papers:123456789/6019 is not listed on IDEAS
    22. Benno Torgler, 2004. "Moral suasion: An alternative tax policy strategy? Evidence from a controlled field experiment in Switzerland," Economics of Governance, Springer, vol. 5(3), pages 235-253, November.
    23. McCain, Roger A., 2008. "Cooperative games and cooperative organizations," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(6), pages 2155-2167, December.
    24. Benno Torgler, 2004. "Moral Suasion: An alternative tax policy strategy? Evidence from a controlled field experiment in Switzerland," CREMA Working Paper Series 2004-01, Center for Research in Economics, Management and the Arts (CREMA).
    25. Paola Giuliano & Antonio Spilimbergo, 2014. "Growing up in a Recession," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(2), pages 787-817.
    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. Elena Parilina & Stepan Akimochkin, 2021. "Cooperative Stochastic Games with Mean-Variance Preferences," Mathematics, MDPI, vol. 9(3), pages 1-15, January.
    2. Elena M. Parilina & Georges Zaccour, 2022. "Sustainable Cooperation in Dynamic Games on Event Trees with Players’ Asymmetric Beliefs," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 92-120, July.
    3. Elena Parilina & Leon Petrosyan, 2020. "On a Simplified Method of Defining Characteristic Function in Stochastic Games," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    4. Al-Jarhi, Mabid Ali M. M., 2016. "An Economic Theory of Islamic Finance Regulation," Islamic Economic Studies, The Islamic Research and Training Institute (IRTI), vol. 24, pages 1-44.
    5. Parilina, Elena M. & Zaccour, Georges, 2022. "Payment schemes for sustaining cooperation in dynamic games," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

    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. Litina, Anastasia & Palivos, Theodore, 2016. "Corruption, tax evasion and social values," Journal of Economic Behavior & Organization, Elsevier, vol. 124(C), pages 164-177.
    2. Xi Chen & Xiaobo Zhang, 2012. "Costly Posturing: Relative Status, Ceremonies and Early Child Development in China," WIDER Working Paper Series wp-2012-070, World Institute for Development Economic Research (UNU-WIDER).
    3. Ayala Mashiah-Yaakovi, 2015. "Correlated Equilibria in Stochastic Games with Borel Measurable Payoffs," Dynamic Games and Applications, Springer, vol. 5(1), pages 120-135, March.
    4. Roger A McCain, 2013. "Value Solutions in Cooperative Games," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8528, January.
    5. Anastasia Litina & Theodore Palivos, 2015. "Corruption and Tax Evasion: Reflections on Greek Tragedy," Working Papers 193, Bank of Greece.
    6. Chen, Xi & Zhang, Xiaobo, 2017. "Costly Posturing: Ceremonies and Early Child Development in China," IZA Discussion Papers 10662, Institute of Labor Economics (IZA).
    7. Chen, Xi, 2014. "Fetus, Fasting, and Festival: The Persistent Effects of in Utero Social Shocks," IZA Discussion Papers 8494, Institute of Labor Economics (IZA).
    8. Ramsey, David M. & Szajowski, Krzysztof, 2008. "Selection of a correlated equilibrium in Markov stopping games," European Journal of Operational Research, Elsevier, vol. 184(1), pages 185-206, January.
    9. Eilon Solan & Rakesh V. Vohra, 1999. "Correlated Equilibrium, Public Signaling and Absorbing Games," Discussion Papers 1272, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    10. Chen, Xi & Zhang, Xiaobo, 2012. "Costly posturing: relative status, ceremonies and early child development in China:," IFPRI discussion papers 1206, International Food Policy Research Institute (IFPRI).
    11. repec:unu:wpaper:wp2012-70 is not listed on IDEAS
    12. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    13. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    14. Richard Kwabena Nkrumah & Samuel Kobina Annim & Benedict Afful, 2021. "Household Social Expenditure in Ghana: Examining the Ex-Post Effects and Vulnerability to Poverty," Social Sciences, MDPI, vol. 10(2), pages 1-15, January.
    15. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    16. Chirantan Ganguly & Indrajit Ray, 2023. "Simple Mediation in a Cheap-Talk Game," Games, MDPI, vol. 14(3), pages 1-14, June.
    17. Robert Nau, 2001. "De Finetti was Right: Probability Does Not Exist," Theory and Decision, Springer, vol. 51(2), pages 89-124, December.
    18. Giulia Mascagni, 2018. "From The Lab To The Field: A Review Of Tax Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 32(2), pages 273-301, April.
    19. Ehud Lehrer & Eilon Solan, 2007. "Learning to play partially-specified equilibrium," Levine's Working Paper Archive 122247000000001436, David K. Levine.
    20. Lenzo, Justin & Sarver, Todd, 2006. "Correlated equilibrium in evolutionary models with subpopulations," Games and Economic Behavior, Elsevier, vol. 56(2), pages 271-284, August.
    21. Sergiu Hart & Andreu Mas-Colell, 2013. "A Simple Adaptive Procedure Leading To Correlated Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 2, pages 17-46, World Scientific Publishing Co. Pte. Ltd..

    More about this item

    Keywords

    Cooperative Stochastic Game; stationary strategies; time consistency; subgame consistency; strategic stability; irrational-behaviour-proof;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:luc:wpaper:14-26. 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: Marina Legrand (email available below). General contact details of provider: https://edirc.repec.org/data/crcrplu.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.