IDEAS home Printed from https://ideas.repec.org/a/the/publsh/1175.html
   My bibliography  Save this article

Achievable outcomes of dynamic contribution games

Author

Listed:
  • , A.

    (Department of Economics, University of Pennsylvania)

Abstract

This paper concerns multistage games, with and without discounting, in which each player can increase the level of an action over time so as to increase the other players' future payoffs. An action profile is said to be achievable if it is the limit point of a subgame perfect equilibrium path. Necessary conditions are derived for achievability under relatively general conditions. They imply that any efficient profile that is approximately achievable must be in the core of the underlying coalitional game. In some but not all games with discounting, the necessary conditions for achievability are also sufficient for a profile to be the limit of achievable profiles as the period length shrinks to zero. Consequently, in these games when the period length is very short, (i) the set of achievable profiles does not depend on the move structure; (ii) an efficient profile can be approximately achieved if and only if it is in the core; and (iii) any achievable profile can be achieved almost instantly.

Suggested Citation

  • , A., 2013. "Achievable outcomes of dynamic contribution games," Theoretical Economics, Econometric Society, vol. 8(2), May.
  • Handle: RePEc:the:publsh:1175
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20130365/8777/267
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 327-358.
    2. Duffy, John & Ochs, Jack & Vesterlund, Lise, 2007. "Giving little by little: Dynamic voluntary contribution games," Journal of Public Economics, Elsevier, vol. 91(9), pages 1708-1730, September.
    3. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    4. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    5. Ochs, Jack & Park, In-Uck, 2010. "Overcoming the coordination problem: Dynamic formation of networks," Journal of Economic Theory, Elsevier, vol. 145(2), pages 689-720, March.
    6. Yeon-Koo Che & József Sákovics, 2004. "A Dynamic Theory of Holdup," Econometrica, Econometric Society, vol. 72(4), pages 1063-1103, July.
    7. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 583-601.
    8. Choi, Syngjoo & Gale, Douglas & Kariv, Shachar, 2008. "Sequential equilibrium in monotone games: A theory-based analysis of experimental data," Journal of Economic Theory, Elsevier, vol. 143(1), pages 302-330, November.
    9. Ben Lockwood & Jonathan P. Thomas, 2002. "Gradualism and Irreversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 339-356.
    10. Pitchford, Rohan & Snyder, Christopher M., 2004. "A solution to the hold-up problem involving gradual investment," Journal of Economic Theory, Elsevier, vol. 114(1), pages 88-103, January.
    11. Compte, Olivier & Jehiel, Philippe, 2003. "Voluntary contributions to a joint project with asymmetric agents," Journal of Economic Theory, Elsevier, vol. 112(2), pages 334-342, October.
    12. Huseyin Yildirim, 2006. "Getting the Ball Rolling: Voluntary Contributions to a Large‐Scale Public Project," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(4), pages 503-528, October.
    13. Marco Battaglini & Salvatore Nunnari & Thomas Palfrey, 2011. "The Free Rider Problem: a Dynamic Analysis," Working Papers 1354, Princeton University, Department of Economics, Econometric Research Program..
    14. Gale, Douglas, 1995. "Dynamic Coordination Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 1-18, January.
    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. Harstad, Bård, 2023. "Pledge-and-review bargaining," Journal of Economic Theory, Elsevier, vol. 207(C).
    2. Harstad, Bård, 2021. "A Theory of Pledge-and-Review Bargaining," Memorandum 5/2022, Oslo University, Department of Economics, revised 21 Jun 2021.
    3. Marco Battaglini & Salvatore Nunnari & Thomas R. Palfrey, 2016. "The Dynamic Free Rider Problem: A Laboratory Study," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 268-308, November.
    4. Matros, Alexander & Ponomareva, Natalia & Smirnov, Vladimir & Wait, Andrew, 2019. "Search without observability," Working Papers 2019-04, University of Sydney, School of Economics.
    5. Gregorio Curello, 2021. "Incentives for Collective Innovation," Papers 2109.01885, arXiv.org, revised May 2023.
    6. de Roos, Nicolas & Matros, Alexander & Smirnov, Vladimir & Wait, Andrew, 2018. "Shipwrecks and treasure hunters," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 259-283.
    7. Matros, Alexander & Smirnov, Vladimir, 2016. "Duplicative search," Games and Economic Behavior, Elsevier, vol. 99(C), pages 1-22.
    8. Erik Madsen & Eran Shmaya, 2024. "Collective Upkeep," Papers 2407.05196, arXiv.org.
    9. Ryota Iijima & Akitada Kasahara, 2016. "Gradual Adjustment and Equilibrium Uniqueness under Noisy Monitoring," ISER Discussion Paper 0965, Institute of Social and Economic Research, Osaka University.
    10. Tajika, Tomoya, 2020. "Contribute once! Full efficiency in a dynamic contribution game," Games and Economic Behavior, Elsevier, vol. 123(C), pages 228-239.
    11. Cason, Timothy N. & Zubrickas, Robertas, 2019. "Donation-based crowdfunding with refund bonuses," European Economic Review, Elsevier, vol. 119(C), pages 452-471.
    12. Matros, Alexander & Ponomareva, Natalia & Smirnov, Vladimir & Wait, Andrew, 2022. "Search without looking," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    13. Chen, Yi, 2020. "A revision game of experimentation on a common threshold," Journal of Economic Theory, Elsevier, vol. 186(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. Steven A. Matthews, 2008. "Achievable Outcomes of Dynamic Contribution Games, Second Version," PIER Working Paper Archive 11-016, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 20 Jun 2011.
    2. Steven A. Matthews, 2006. "Smooth Monotone Contribution Games," PIER Working Paper Archive 06-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Steven A. Matthews, 2008. "Achievable Outcomes in Smooth Dynamic Contribution Games," PIER Working Paper Archive 08-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    4. Cason, Timothy N. & Zubrickas, Robertas, 2019. "Donation-based crowdfunding with refund bonuses," European Economic Review, Elsevier, vol. 119(C), pages 452-471.
    5. Maoliang Ye & Jie Zheng & Plamen Nikolov & Sam Asher, 2020. "One Step at a Time: Does Gradualism Build Coordination?," Management Science, INFORMS, vol. 66(1), pages 113-129, January.
    6. Tan, Jonathan H.W. & Breitmoser, Yves & Bolle, Friedel, 2015. "Voluntary contributions by consent or dissent," Games and Economic Behavior, Elsevier, vol. 92(C), pages 106-121.
    7. Altınok, Ahmet & Yılmaz, Murat, 2018. "Dynamic voluntary contribution to a public project under time inconsistency," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 114-140.
    8. Wioletta Dziuda & Ronen Gradwohl, 2015. "Achieving Cooperation under Privacy Concerns," American Economic Journal: Microeconomics, American Economic Association, vol. 7(3), pages 142-173, August.
    9. Gallier, Carlo & Sturm, Bodo, 2021. "The ratchet effect in social dilemmas," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 251-268.
    10. Choi, Syngjoo & Gale, Douglas & Kariv, Shachar & Palfrey, Thomas, 2011. "Network architecture, salience and coordination," Games and Economic Behavior, Elsevier, vol. 73(1), pages 76-90, September.
    11. May Elsayyad & Florian Morath, 2016. "Technology Transfers For Climate Change," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(3), pages 1057-1084, August.
    12. Georgiadis, George, 2017. "Deadlines and infrequent monitoring in the dynamic provision of public goods," Journal of Public Economics, Elsevier, vol. 152(C), pages 1-12.
    13. Marco Battaglini & Salvatore Nunnari & Thomas R. Palfrey, 2016. "The Dynamic Free Rider Problem: A Laboratory Study," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 268-308, November.
    14. Parimal Kanti Bag & Nona Pepito, 2012. "Peer Transparency In Teams: Does It Help Or Hinder Incentives?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1257-1286, November.
    15. Ryota Iijima & Akitada Kasahara, 2016. "Gradual Adjustment and Equilibrium Uniqueness under Noisy Monitoring," ISER Discussion Paper 0965, Institute of Social and Economic Research, Osaka University.
    16. Matros, Alexander & Smirnov, Vladimir, 2016. "Duplicative search," Games and Economic Behavior, Elsevier, vol. 99(C), pages 1-22.
    17. Ferrari, Giorgio & Riedel, Frank & Steg, Jan-Henrik, 2016. "Continuous-Time Public Good Contribution under Uncertainty," Center for Mathematical Economics Working Papers 485, Center for Mathematical Economics, Bielefeld University.
    18. Aghamolla, Cyrus & Hashimoto, Tadashi, 2020. "Information arrival, delay, and clustering in financial markets with dynamic freeriding," Journal of Financial Economics, Elsevier, vol. 138(1), pages 27-52.
    19. Choi, Syngjoo & Gale, Douglas & Kariv, Shachar, 2008. "Sequential equilibrium in monotone games: A theory-based analysis of experimental data," Journal of Economic Theory, Elsevier, vol. 143(1), pages 302-330, November.
    20. T. Renee Bowen & George Georgiadis & Nicolas S. Lambert, 2019. "Collective Choice in Dynamic Public Good Provision," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 243-298, February.

    More about this item

    Keywords

    Dynamic games; monotone games; core; public goods; voluntary contribution; gradualism;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:the:publsh:1175. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

    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.