IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v207y2023ics0022053122001648.html
   My bibliography  Save this article

Pledge-and-review bargaining

Author

Listed:
  • Harstad, Bård

Abstract

This paper presents a novel dynamic bargaining game where every party is proposing only its own contribution, before all pledges must be unanimously approved. I show that, with uncertain tolerance for delay, each equilibrium pledge maximizes an asymmetric Nash product. The weights on others' payoffs increase in the uncertainty, but decrease in the correlation of the shocks. The weights vary pledge to pledge, and this implies that the outcome is generically inefficient. The Nash demand game and its mapping to the Nash bargaining solution follow as a limiting case. The model sheds light on the Paris climate change agreement, but it also applies to negotiations between policymakers or business partners that have differentiated responsibilities or expertise.

Suggested Citation

  • Harstad, Bård, 2023. "Pledge-and-review bargaining," Journal of Economic Theory, Elsevier, vol. 207(C).
  • Handle: RePEc:eee:jetheo:v:207:y:2023:i:c:s0022053122001648
    DOI: 10.1016/j.jet.2022.105574
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053122001648
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2022.105574?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. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Daron Acemoglu & Philippe Aghion & Leonardo Bursztyn & David Hemous, 2012. "The Environment and Directed Technical Change," American Economic Review, American Economic Association, vol. 102(1), pages 131-166, February.
    3. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    4. 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.
    5. Abi Adams & Laurens Cherchye & Bram De Rock & Ewout Verriest, 2014. "Consume Now or Later? Time Inconsistency, Collective Choice, and Revealed Preference," American Economic Review, American Economic Association, vol. 104(12), pages 4147-4183, December.
    6. Beccherle, Julien & Tirole, Jean, 2011. "Regional initiatives and the cost of delaying binding climate change agreements," Journal of Public Economics, Elsevier, vol. 95(11), pages 1339-1348.
    7. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    8. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    9. Bård Harstad, 2016. "The Dynamics Of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752, June.
    10. Jeremy Bulow & Paul Klemperer, 2009. "Why Do Sellers (Usually) Prefer Auctions?," American Economic Review, American Economic Association, vol. 99(4), pages 1544-1575, September.
    11. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    12. Howard, J. V., 1992. "A social choice rule and its implementation in perfect equilibrium," Journal of Economic Theory, Elsevier, vol. 56(1), pages 142-159, February.
    13. Ying Chen & Hülya Eraslan, 2013. "Informational loss in bundled bargaining," Journal of Theoretical Politics, , vol. 25(3), pages 338-362, July.
    14. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    15. Marco Battaglini & Bård Harstad, 2016. "Participation and Duration of Environmental Agreements," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 160-204.
    16. Ortner, Juan, 2017. "A theory of political gridlock," Theoretical Economics, Econometric Society, vol. 12(2), May.
    17. , & ,, 2014. "Rhetoric in legislative bargaining with asymmetric information," Theoretical Economics, Econometric Society, vol. 9(2), May.
    18. Michael Finus & Stefan Maus, 2008. "Modesty May Pay!," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 801-826, October.
    19. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    20. David Martimort & Wilfried Sand-Zantman, 2016. "A Mechanism Design Approach To Climate-Change Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 669-718, June.
    21. Bard Harstad, 2012. "Climate Contracts: A Game of Emissions, Investments, Negotiations, and Renegotiations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1527-1557.
    22. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    23. Hülya Eraslan & Kirill S. Evdokimov, 2019. "Legislative and Multilateral Bargaining," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 443-472, August.
    24. Joseph E. Aldy & Scott Barrett & Robert N. Stavins, 2003. "Thirteen plus one: a comparison of global climate policy architectures," Climate Policy, Taylor & Francis Journals, vol. 3(4), pages 373-397, December.
    25. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    26. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    27. Chatterjee, Kalyan & Samuelson, Larry, 1990. "Perfect Equilibria in Simultaneous-Offers Bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(3), pages 237-267.
    28. von Hagen, Jurgen & Harden, Ian J., 1995. "Budget processes and commitment to fiscal discipline," European Economic Review, Elsevier, vol. 39(3-4), pages 771-779, April.
    29. 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.
    30. Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
    31. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2014. "Robustness to strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 85(C), pages 272-288.
    32. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 543-566.
    33. Baron David & Kalai Ehud, 1993. "The Simplest Equilibrium of a Majority-Rule Division Game," Journal of Economic Theory, Elsevier, vol. 61(2), pages 290-301, December.
    34. Francis Bloch, 2018. "Coalitions and networks in oligopolies," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 13, pages 373-391, Edward Elgar Publishing.
    35. Kolstad, Charles D. & Toman, Michael, 2005. "The Economics of Climate Policy," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 30, pages 1561-1618, Elsevier.
    36. Abreu, Dilip & Pearce, David G. & Stacchetti, Ennio, 2015. "One-sided uncertainty and delay in reputational bargaining," Theoretical Economics, Econometric Society, vol. 10(3), September.
    37. Calvo, Emilio & Rubio, Santiago J., 2013. "Dynamic Models of International Environmental Agreements: A Differential Game Approach," International Review of Environmental and Resource Economics, now publishers, vol. 6(4), pages 289-339, April.
    38. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    39. In, Younghwan & Serrano, Roberto, 2004. "Agenda restrictions in multi-issue bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 385-399, March.
    40. V. Bhaskar & George J. Mailath & Stephen Morris, 2013. "A Foundation for Markov Equilibria in Sequential Games with Finite Social Memory -super-," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(3), pages 925-948.
    41. Bård Harstad & Francesco Lancia & Alessia Russo, 2019. "Compliance Technology and Self-enforcing Agreements," Journal of the European Economic Association, European Economic Association, vol. 17(1), pages 1-29.
    42. Kenneth J. Arrow & Maureen L. Cropper & Christian Gollier & Ben Groom & Geoffrey M. Heal & Richard G. Newell & William D. Nordhaus & Robert S. Pindyck & William A. Pizer & Paul R. Portney & Thomas Ste, 2014. "Editor's Choice Should Governments Use a Declining Discount Rate in Project Analysis?," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 8(2), pages 145-163.
    43. Eraslan, Hulya & Evdokimov, Kirill S., 2019. "Legislative and Multilateral Bargaining," Working Papers 19-007, Rice University, Department of Economics.
    44. 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.
    45. T. Renee Bowen & Ying Chen & H?lya Eraslan, 2014. "Mandatory versus Discretionary Spending: The Status Quo Effect," American Economic Review, American Economic Association, vol. 104(10), pages 2941-2974, October.
    46. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    47. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2018. "Robustness to strategic uncertainty in the Nash demand game," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 1-5.
    48. Olivier Compte & Philippe Jehiel, 2010. "Bargaining and Majority Rules: A Collective Search Perspective," Journal of Political Economy, University of Chicago Press, vol. 118(2), pages 189-221, April.
    49. Roth, Alvin E, 1979. "Proportional Solutions to the Bargaining Problem," Econometrica, Econometric Society, vol. 47(3), pages 775-777, May.
    50. Rong Rong & Therese C. Grijalva & Jayson Lusk & W. Douglass Shaw, 2019. "Interpersonal discounting," Journal of Risk and Uncertainty, Springer, vol. 58(1), pages 17-42, February.
    51. Lorenzo Bastianello & Marco LiCalzi, 2019. "The Probability to Reach an Agreement as a Foundation for Axiomatic Bargaining," Econometrica, Econometric Society, vol. 87(3), pages 837-865, May.
    52. Morelli, Massimo, 1999. "Demand Competition and Policy Compromise in Legislative Bargaining," American Political Science Review, Cambridge University Press, vol. 93(4), pages 809-820, December.
    53. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2010. "Non-cooperative support for the asymmetric Nash bargaining solution," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1951-1967, September.
    54. Sterner, Thomas & Tol, Richard S. J. & Weitzman, Martin L. & Pizer, William A. & Portney, Paul R. & Arrow, Kenneth J. & Cropper, Maureen L. & Gollier, Christian & Groom, Ben & Heal, Geoffrey M. & Newe, 2014. "Should Governments Use a Declining Discount Rate in Project Analysis?," Scholarly Articles 33373349, Harvard University Department of Economics.
    55. Joel Watson, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 573-594.
    56. Jeremy Bulow & Paul Klemperer, 2009. "Why Do Sellers (Usually) Prefer Auctions?," American Economic Review, American Economic Association, vol. 99(4), pages 1544-75, September.
    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. Roberto Serrano, 2020. "Sixty-Seven Years of the Nash Program: Time for Retirement?," Working Papers 2020-20, Brown University, Department of Economics.
    2. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    3. Christoph Böhringer & Carsten Helm & Laura Schürer, 2023. "How to Boost Countries’ Climate Ambitions: Turning Gains from Emissions Trading into Gains for Climate," CESifo Working Paper Series 10624, CESifo.

    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. Harstad, Bård, 2021. "A Theory of Pledge-and-Review Bargaining," Memorandum 5/2022, Oslo University, Department of Economics, revised 21 Jun 2021.
    2. Colombo, Luca & Labrecciosa, Paola & Van Long, Ngo, 2022. "A dynamic analysis of international environmental agreements under partial cooperation," European Economic Review, Elsevier, vol. 143(C).
    3. Alejandro Caparrós, 2016. "Bargaining and International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 5-31, September.
    4. Kováč, Eugen & Schmidt, Robert C., 2021. "A simple dynamic climate cooperation model," Journal of Public Economics, Elsevier, vol. 194(C).
    5. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    6. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    7. P. Jean-Jacques Herings & Harold Houba, 2022. "Costless delay in negotiations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 69-93, July.
    8. Caruana, Guillermo & Einav, Liran & Quint, Daniel, 2007. "Multilateral bargaining with concession costs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 147-166, January.
    9. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2018. "Robustness to strategic uncertainty in the Nash demand game," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 1-5.
    10. Holtsmark, Katinka & Midttømme, Kristoffer, 2021. "The dynamics of linking permit markets," Journal of Public Economics, Elsevier, vol. 198(C).
    11. Bård Harstad, 2016. "The Dynamics Of Climate Agreements," Journal of the European Economic Association, European Economic Association, vol. 14(3), pages 719-752, June.
    12. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 7, pages 179-225, Elsevier.
    13. Sigit Perdana and Rod Tyers, 2020. "Global Climate Change Mitigation: Strategic Incentives," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 183-206.
    14. Karp, Larry & Sakamoto, Hiroaki, 2021. "Sober optimism and the formation of international environmental agreements," Journal of Economic Theory, Elsevier, vol. 197(C).
    15. Spulber, Daniel F., 2016. "Patent licensing and bargaining with innovative complements and substitutes," Research in Economics, Elsevier, vol. 70(4), pages 693-713.
    16. Marco Battaglini & Bård Harstad, 2016. "Participation and Duration of Environmental Agreements," Journal of Political Economy, University of Chicago Press, vol. 124(1), pages 160-204.
    17. Bram Driesen & Peter Eccles & Nora Wegner, 2017. "A non-cooperative foundation for the continuous Raiffa solution," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1115-1135, November.
    18. Okada, Akira, 2016. "A non-cooperative bargaining theory with incomplete information: Verifiable types," Journal of Economic Theory, Elsevier, vol. 163(C), pages 318-341.
    19. Jeongbin Kim & Wooyoung Lim & Sebastian Schweighofer-Kodritsch, 2023. "Patience Is Power: Bargaining and Payoff Delay," Berlin School of Economics Discussion Papers 0015, Berlin School of Economics.
    20. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.

    More about this item

    Keywords

    Bargaining games; The Nash program;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

    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:eee:jetheo:v:207:y:2023:i:c:s0022053122001648. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.