IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/0211003.html
   My bibliography  Save this paper

Joint Production Games with Mixed Sharing Rules

Author

Listed:
  • Richard Cornes

    (Nottingham University)

  • Roger Hartley

    (Keele University)

Abstract

We study Nash equilibria of joint production games under a mixed output sharing rule in which part of the output (the mixing parameter) is shared in proportion to inputs and the rest according to exogenously determined shares. This rule includes proportional sharing and equal sharing as special cases. We show that this game has a unique equilibrium and discuss comparative statics. When the game is large, players unanimously prefer the same value of the mixing parameter: the equilibrium value of the elasticity of production. For this value, equilibrium input and output are fully efficient. Our approach exploits the fact that payoffs in the joint production game are a function only of a player's input and the aggregate input and has indepen-dent interest as it readily extends to other "aggregative games".

Suggested Citation

  • Richard Cornes & Roger Hartley, 2002. "Joint Production Games with Mixed Sharing Rules," Game Theory and Information 0211003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0211003
    Note: Type of Document - pdf; prepared on pc; pages: 39
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0211/0211003.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

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


    Cited by:

    1. Dickson, Alex & Hartley, Roger, 2008. "The strategic Marshallian cross," Games and Economic Behavior, Elsevier, vol. 64(2), pages 514-532, November.
    2. María Cubel & Santiago Sanchez-Pages, 2020. "Property Out of Conflict: A Survey and Some New Results," Revue d'économie politique, Dalloz, vol. 130(6), pages 891-927.
    3. Richard Cornes, 2016. "Aggregative Environmental Games," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 63(2), pages 339-365, February.
    4. Omkar D. Palsule-Desai, 2016. "Impact of equity and equality on stability and collusion in a decentralized network," Annals of Operations Research, Springer, vol. 238(1), pages 411-447, March.
    5. Omkar D. Palsule-Desai, 2015. "Complete Versus Partial Collusion in Competing Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 1-43.
    6. A. Dickson & R. Hartley, 2005. "The strategic Marshallian cross and bilateral oligopoly," Economics Discussion Paper Series 0523, Economics, The University of Manchester.
    7. Omkar Palsule-Desai, 2016. "Impact of equity and equality on stability and collusion in a decentralized network," Annals of Operations Research, Springer, vol. 238(1), pages 411-447, March.
    8. Cornes, Richard & Hartley, Roger, 2012. "Fully aggregative games," Economics Letters, Elsevier, vol. 116(3), pages 631-633.
    9. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," Economics Discussion Paper Series 0514, Economics, The University of Manchester.

    More about this item

    Keywords

    Production externalities; non-cooperative games;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods

    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:wpa:wuwpga:0211003. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    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.