IDEAS home Printed from https://ideas.repec.org/p/pdn/ciepap/112.html
   My bibliography  Save this paper

Feedback Pareto weights in cooperative NTU differential games

Author

Listed:
  • Simon Hoof

    (Paderborn University)

Abstract

This note deals with agreeability in nontransferable utility (NTU) differential games. We introduce state feedback Pareto weights to enrich the set of efficient cooperative solutions. The framework is particularly useful if constant weights fail to support agreeability, but cooperation is desired nonetheless. The concept is applied to an adverting differential game.

Suggested Citation

  • Simon Hoof, 2018. "Feedback Pareto weights in cooperative NTU differential games," Working Papers CIE 112, Paderborn University, CIE Center for International Economics.
    • Handle: RePEc:pdn:ciepap:112
    as

    Download full text from publisher

    File URL: http://groups.uni-paderborn.de/wp-wiwi/RePEc/pdf/ciepap/WP112.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Josef Haunschmied & Vladimir M. Veliov & Stefan Wrzaczek (ed.), 2014. "Dynamic Games in Economics," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-642-54248-0, July-Dece.
    2. S. Jørgensen & G. Martín-Herrán & G. Zaccour, 2003. "Agreeability and Time Consistency in Linear-State Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 119(1), pages 49-63, October.
    3. David W.K. Yeung & Leon A. Petrosyan, 2016. "Subgame Consistent Cooperation," Theory and Decision Library C, Springer, number 978-981-10-1545-8, March.
    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. Ekaterina Gromova & Anastasiya Malakhova & Arsen Palestini, 2018. "Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration," Mathematics, MDPI, vol. 6(9), pages 1-17, September.
    2. Karray, Salma & Martín-Herrán, Guiomar & Zaccour, Georges, 2017. "Assessing the profitability of cooperative advertising programs in competing channels," International Journal of Production Economics, Elsevier, vol. 187(C), pages 142-158.
    3. Ovanes Petrosian, 2018. "About the Looking Forward Approach in Cooperative Differential Games with Transferable Utility," HSE Working papers WP BRP 183/EC/2018, National Research University Higher School of Economics.
    4. Raouf Boucekkine & Fabien Prieur & Benteng Zou, 2015. "Institutional dynamics under revenue volatility and revenue-dependent lobbying power: A stochastic differential game approach," DEM Discussion Paper Series 15-08, Department of Economics at the University of Luxembourg.
    5. Emmanuelle Augeraud-Véron & Giorgio Fabbri & Katheline Schubert, 2019. "The Value of Biodiversity as an Insurance Device," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 101(4), pages 1068-1081.
    6. Francisco Cabo & Mabel Tidball, 2022. "Cooperation in a Dynamic Setting with Asymmetric Environmental Valuation and Responsibility," Dynamic Games and Applications, Springer, vol. 12(3), pages 844-871, September.
    7. Javier Frutos & Guiomar Martín-Herrán, 2015. "Does Flexibility Facilitate Sustainability of Cooperation Over Time? A Case Study from Environmental Economics," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 657-677, May.
    8. Leon A. Petrosyan & David W.K. Yeung, 2020. "Cooperative Dynamic Games with Durable Controls: Theory and Application," Dynamic Games and Applications, Springer, vol. 10(4), pages 872-896, December.
    9. Raouf Boucekkine & Fabien Prieur & Benteng Zou, 2015. "Symmetric vs Asymmetric Equilibria and Stochastic Stability in a Dynamic Game of Legislative Lobbying," AMSE Working Papers 1531, Aix-Marseille School of Economics, France, revised Jan 2018.
    10. Juntao Chen & Quanyan Zhu & Tamer Başar, 2021. "Dynamic Contract Design for Systemic Cyber Risk Management of Interdependent Enterprise Networks," Dynamic Games and Applications, Springer, vol. 11(2), pages 294-325, June.
    11. Ricardo Josa-Fombellida & Juan Pablo Rincón-Zapatero, 2018. "Stochastic Differential Games for Which the Open-Loop Equilibrium is Subgame Perfect," Dynamic Games and Applications, Springer, vol. 8(2), pages 379-400, June.
    12. Ovanes Petrosian & Lihong Shi & Yin Li & Hongwei Gao, 2019. "Moving Information Horizon Approach for Dynamic Game Models," Mathematics, MDPI, vol. 7(12), pages 1-31, December.
    13. Germain, Marc & Tulkens, Henry & Magnus, Alphonse, 2010. "Dynamic core-theoretic cooperation in a two-dimensional international environmental model," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 208-226, March.
    14. Nicole Bauerle & Anna Ja'skiewicz, 2015. "Stochastic Optimal Growth Model with Risk Sensitive Preferences," Papers 1509.05638, arXiv.org.
    15. Elena M. Parilina & Puduru Viswanadha Reddy & Georges Zaccour, 2022. "Endogenous Duration of Long-term Agreements in Cooperative Dynamic Games with Nontransferable Utility," Journal of Optimization Theory and Applications, Springer, vol. 195(3), pages 808-836, December.
    16. Hebert Dawid & Benteng Zou, 2014. "Foreign direct investment in duopoly: When is it optimal to invest abroad?," DEM Discussion Paper Series 14-23, Department of Economics at the University of Luxembourg.
    17. Colombo, Luca & Dawid, Herbert, 2014. "Strategic location choice under dynamic oligopolistic competition and spillovers," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 288-307.
    18. Neck, R. & Blueschke, D., 2016. "What to do when stagflation returns? Monetary and fiscal policy strategies for a monetary union," The Journal of Economic Asymmetries, Elsevier, vol. 14(PA), pages 128-146.
    19. Colombo, Luca & Labrecciosa, Paola, 2018. "Consumer surplus-enhancing cooperation in a natural resource oligopoly," Journal of Environmental Economics and Management, Elsevier, vol. 92(C), pages 185-193.
    20. Artem Sedakov & Hao Sun, 2020. "The Relationship between the Core and the Modified Cores of a Dynamic Game," Mathematics, MDPI, vol. 8(6), pages 1-13, June.

    More about this item

    Keywords

    NTU differential games; variable Pareto weights; agreeability;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative 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:pdn:ciepap:112. 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: WP-WiWi-Info or the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/cipadde.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.