IDEAS home Printed from https://ideas.repec.org/p/not/notcdx/2015-24.html
   My bibliography  Save this paper

Legislative Bargaining with Heterogeneous Disagreement Values: Theory and Experiments

Author

Listed:
  • Luis Miller

    (School of Economics, University of the Basque Country)

  • Maria Montero

    (Department of Economics, University of Hamburg)

  • Christoph Vanberg

    (Department of Economics, University of Heidelberg)

Abstract

We study a legislative bargaining game in which failure to agree in a given round may result in a breakdown of negotiations. In that case, each player receives an exogenous `disagreement value'. We characterize the set of stationary subgame perfect equilibria under all q-majority rules. Under unanimity rule, equilibrium payoffs are strictly increasing in disagreement values. Under all less-than-unanimity rules, expected payoffs are either decreasing or first increasing and then decreasing in disagreement values. We conduct experiments involving three players using majority and unanimity rule finding support for these predictions.

Suggested Citation

  • Luis Miller & Maria Montero & Christoph Vanberg, 2015. "Legislative Bargaining with Heterogeneous Disagreement Values: Theory and Experiments," Discussion Papers 2015-24, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    • Handle: RePEc:not:notcdx:2015-24
    as

    Download full text from publisher

    File URL: https://www.nottingham.ac.uk/cedex/documents/papers/cedex-discussion-paper-2015-24.pdf
    Download Restriction: no
    ---><---

    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. repec:cty:dpaper:2903 is not listed on IDEAS
    3. John Kagel & Hankyoung Sung & Eyal Winter, 2010. "Veto power in committees: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 13(2), pages 167-188, June.
    4. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    5. 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.
    6. Cantore, C. M. & Levine, P. & Melina, G. & Pearlman, J., 2013. "Optimal Fiscal and Monetary Rules in Normal and Abnormal Times," Working Papers 13/16, Department of Economics, City University London.
    7. Maria Montero, 2007. "Inequity Aversion May Increase Inequity," Economic Journal, Royal Economic Society, vol. 117(519), pages 192-204, March.
    8. Ochs, Jack & Roth, Alvin E, 1989. "An Experimental Study of Sequential Bargaining," American Economic Review, American Economic Association, vol. 79(3), pages 355-384, June.
    9. Tomohiko Kawamori, 2005. "Players' Patience and Equilibrium Payoffs in the Baron-Ferejohn Model," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-5.
    10. Battaglini, Marco & Nunnari, Salvatore & Palfrey, Thomas R., 2012. "Legislative Bargaining and the Dynamics of Public Investment," American Political Science Review, Cambridge University Press, vol. 106(2), pages 407-429, May.
    11. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    12. Drouvelis, Michalis & Montero, Maria & Sefton, Martin, 2010. "Gaining power through enlargement: Strategic foundations and experimental evidence," Games and Economic Behavior, Elsevier, vol. 69(2), pages 274-292, July.
    13. repec:cty:dpaper:10.1257/mic.6.1.182 is not listed on IDEAS
    14. Guillaume Fréchette & John Kagel & Massimo Morelli, 2012. "Pork versus public goods: an experimental study of public good provision within a legislative bargaining framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(3), pages 779-800, April.
    15. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    16. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    17. Miller, Luis & Vanberg, Christoph, 2015. "Group size and decision rules in legislative bargaining," European Journal of Political Economy, Elsevier, vol. 37(C), pages 288-302.
    18. Diermeier, Daniel & Gailmard, Sean, 2006. "Self-Interest, Inequality, and Entitlement in Majoritarian Decision-Making," Quarterly Journal of Political Science, now publishers, vol. 1(4), pages 327-350, October.
    19. Christiansen, Nels, 2015. "Greasing the wheels: Pork and public goods contributions in a legislative bargaining experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 120(C), pages 64-79.
    20. Agranov, Marina & Tergiman, Chloe, 2014. "Communication in multilateral bargaining," Journal of Public Economics, Elsevier, vol. 118(C), pages 75-85.
    21. Jackson, Matthew O. & Moselle, Boaz, 2002. "Coalition and Party Formation in a Legislative Voting Game," Journal of Economic Theory, Elsevier, vol. 103(1), pages 49-87, March.
    22. Herings, P. Jean-Jacques & Meshalkin, Andrey & Predtetchinski, Arkadi, 2017. "A one-period memory folk theorem for multilateral bargaining games," Games and Economic Behavior, Elsevier, vol. 103(C), pages 185-198.
    23. Nejat Anbarci & Nick Feltovich, 2013. "How sensitive are bargaining outcomes to changes in disagreement payoffs?," Experimental Economics, Springer;Economic Science Association, vol. 16(4), pages 560-596, December.
    24. Kalandrakis, Tasos, 2015. "Computation of equilibrium values in the Baron and Ferejohn bargaining model," Games and Economic Behavior, Elsevier, vol. 94(C), pages 29-38.
    25. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
    26. Luis Miller & Christoph Vanberg, 2013. "Decision costs in legislative bargaining: an experimental analysis," Public Choice, Springer, vol. 155(3), pages 373-394, June.
    27. Tammy Harris & James W. Hardin, 2013. "Exact Wilcoxon signed-rank and Wilcoxon Mann–Whitney ranksum tests," Stata Journal, StataCorp LP, vol. 13(2), pages 337-343, June.
    28. Fréchette, Guillaume R. & Kagel, John H. & Lehrer, Steven F., 2003. "Bargaining in Legislatures: An Experimental Investigation of Open versus Closed Amendment Rules," American Political Science Review, Cambridge University Press, vol. 97(2), pages 221-232, May.
    29. Frechette, Guillaume R. & Kagel, John H. & Morelli, Massimo, 2005. "Gamson's Law versus non-cooperative bargaining theory," Games and Economic Behavior, Elsevier, vol. 51(2), pages 365-390, May.
    30. Harstad, Bård, 2010. "Strategic delegation and voting rules," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 102-113, February.
    31. Frechette, Guillaume & Kagel, John H. & Morelli, Massimo, 2005. "Nominal bargaining power, selection protocol, and discounting in legislative bargaining," Journal of Public Economics, Elsevier, vol. 89(8), pages 1497-1517, August.
    32. Norman, Peter, 2002. "Legislative Bargaining and Coalition Formation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 322-353, February.
    33. Volden, Craig & Wiseman, Alan E., 2007. "Bargaining in Legislatures over Particularistic and Collective Goods," American Political Science Review, Cambridge University Press, vol. 101(1), pages 79-92, February.
    34. Guillaume Fréchette & John H. Kagel & Massimo Morelli, 2005. "Behavioral Identification in Coalitional Bargaining: An Experimental Analysis of Demand Bargaining and Alternating Offers," Econometrica, Econometric Society, vol. 73(6), pages 1893-1937, November.
    35. Banks, Jeffrey S. & Duggan, John, 2006. "A General Bargaining Model of Legislative Policy-making," Quarterly Journal of Political Science, now publishers, vol. 1(1), pages 49-85, January.
    36. repec:ebl:ecbull:v:3:y:2005:i:43:p:1-5 is not listed on IDEAS
    37. Daniel Diermeier & Rebecca Morton, 2005. "Experiments in Majoritarian Bargaining," Studies in Choice and Welfare, in: David Austen-Smith & John Duggan (ed.), Social Choice and Strategic Decisions, pages 201-226, Springer.
    38. Nunnari, Salvatore & Zapal, Jan, 2016. "Gambler's fallacy and imperfect best response in legislative bargaining," Games and Economic Behavior, Elsevier, vol. 99(C), pages 275-294.
    39. Bradfield, Anthony J. & Kagel, John H., 2015. "Legislative bargaining with teams," Games and Economic Behavior, Elsevier, vol. 93(C), pages 117-127.
    40. Eraslan, Hulya, 2002. "Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model," Journal of Economic Theory, Elsevier, vol. 103(1), pages 11-30, March.
    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. Glätzle-Rützler, Daniela & Lergetporer, Philipp & Sutter, Matthias, 2021. "Collective intertemporal decisions and heterogeneity in groups," Games and Economic Behavior, Elsevier, vol. 130(C), pages 131-147.
    2. Piazolo, David & Vanberg, Christoph, 2022. "Legislative bargaining with private information: A comparison of majority and unanimity rule," Working Papers 0708, University of Heidelberg, Department of Economics.
    3. Andrzej Baranski & Rebecca Morton, 2022. "The determinants of multilateral bargaining: a comprehensive analysis of Baron and Ferejohn majoritarian bargaining experiments," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1079-1108, September.
    4. Hakan Genc & Serkan Kucuksenel, 2019. "Bargaining in legislatures over private and public goods with endogenous recognition," Public Choice, Springer, vol. 181(3), pages 351-373, December.
    5. Aaron Kamm & Simon Siegenthaler, 2024. "Commitment timing in coalitional bargaining," Experimental Economics, Springer;Economic Science Association, vol. 27(1), pages 130-154, March.
    6. Andrzej Baranski & Ernesto Reuben, 2023. "Competing for Proposal Rights: Theory and Experimental Evidence," Working Papers 20220085, New York University Abu Dhabi, Department of Social Science, revised Mar 2023.
    7. Duk Gyoo Kim & Sang‐Hyun Kim, 2022. "Multilateral bargaining with proposer selection contest," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(1), pages 38-73, February.
    8. Tsakas, Nikolas & Xefteris, Dimitrios, 2021. "Stress-testing the runoff rule in the laboratory," Games and Economic Behavior, Elsevier, vol. 128(C), pages 18-38.
    9. Maaser, Nicola & Paetzel, Fabian & Traub, Stefan, 2019. "Power illusion in coalitional bargaining: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 117(C), pages 433-450.
    10. Anna Merkel & Christoph Vanberg, 2020. "Legislative bargaining with costly communication," Public Choice, Springer, vol. 183(1), pages 3-27, April.
    11. Andrzej Baranski & Caleb A. Cox, 2019. "Communication in Multilateral Bargaining with Joint Production," Working Papers 20190032, New York University Abu Dhabi, Department of Social Science, revised Nov 2019.
    12. Houba, Harold & Li, Duozhe & Wen, Quan, 2022. "Bargaining with costly competition for the right to propose," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    13. Andrzej Baranski & Caleb A. Cox, 2023. "Communication in multilateral bargaining with joint production," Experimental Economics, Springer;Economic Science Association, vol. 26(1), pages 55-77, March.
    14. Lippert, Steffen & Tremewan, James, 2021. "Pledge-and-review in the laboratory," Games and Economic Behavior, Elsevier, vol. 130(C), pages 179-195.
    15. Anita Gantner & Regine Oexl, 2023. "Respecting entitlements in legislative bargaining: A matter of preference or necessity?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 56(2), pages 490-519, May.
    16. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    17. Regine Oexl & Anita Gantner, 2021. "Respecting Entitlements in Legislative Bargaining - A Matter of Preference or Necessity?," Working Papers 2021-25, Faculty of Economics and Statistics, Universität Innsbruck.

    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. Nunnari, Salvatore, 2021. "Dynamic legislative bargaining with veto power: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 126(C), pages 186-230.
    2. Maaser, Nicola & Paetzel, Fabian & Traub, Stefan, 2019. "Power illusion in coalitional bargaining: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 117(C), pages 433-450.
    3. Andrzej Baranski & Rebecca Morton, 2022. "The determinants of multilateral bargaining: a comprehensive analysis of Baron and Ferejohn majoritarian bargaining experiments," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1079-1108, September.
    4. Nunnari, Salvatore & Zapal, Jan, 2016. "Gambler's fallacy and imperfect best response in legislative bargaining," Games and Economic Behavior, Elsevier, vol. 99(C), pages 275-294.
    5. Kim, Duk Gyoo, 2023. "“One Bite at the apple”: Legislative bargaining without replacement," Journal of Economic Psychology, Elsevier, vol. 95(C).
    6. Christiansen, Nels, 2015. "Greasing the wheels: Pork and public goods contributions in a legislative bargaining experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 120(C), pages 64-79.
    7. Tremewan, James & Vanberg, Christoph, 2018. "Voting rules in multilateral bargaining: using an experiment to relax procedural assumptions," Working Papers 0651, University of Heidelberg, Department of Economics.
    8. Kim, Duk Gyoo & Lim, Wooyoung, 2024. "Multilateral bargaining over the division of losses," Games and Economic Behavior, Elsevier, vol. 146(C), pages 59-76.
    9. Merkel, Anna & Vanberg, Christoph, 2023. "Multilateral bargaining with subjective claims under majority vs. unanimity rule: An experiment," Journal of Economic Psychology, Elsevier, vol. 95(C).
    10. Herings, P. Jean-Jacques & Meshalkin, Andrey & Predtetchinski, Arkadi, 2018. "Subgame perfect equilibria in majoritarian bargaining," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 101-112.
    11. Drouvelis, Michalis & Montero, Maria & Sefton, Martin, 2010. "Gaining power through enlargement: Strategic foundations and experimental evidence," Games and Economic Behavior, Elsevier, vol. 69(2), pages 274-292, July.
    12. Baron, David P. & Bowen, T. Renee & Nunnari, Salvatore, 2017. "Durable coalitions and communication: Public versus private negotiations," Journal of Public Economics, Elsevier, vol. 156(C), pages 1-13.
    13. Miller, Luis & Vanberg, Christoph, 2015. "Group size and decision rules in legislative bargaining," European Journal of Political Economy, Elsevier, vol. 37(C), pages 288-302.
    14. Jan Zápal, 2017. "Crafting consensus," Public Choice, Springer, vol. 173(1), pages 169-200, October.
    15. Guillaume R. Fréchette & Emanuel Vespa, 2017. "The determinants of voting in multilateral bargaining games," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 3(1), pages 26-43, July.
    16. Breitmoser, Yves & Tan, Jonathan H.W., 2020. "Why should majority voting be unfair?," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 281-295.
    17. Agranov, Marina & Cotton, Christopher & Tergiman, Chloe, 2020. "Persistence of power: Repeated multilateral bargaining with endogenous agenda setting authority," Journal of Public Economics, Elsevier, vol. 184(C).
    18. Tremewan, James & Vanberg, Christoph, 2016. "The dynamics of coalition formation – A multilateral bargaining experiment with free timing of moves," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 33-46.
    19. Agranov, Marina & Tergiman, Chloe, 2014. "Communication in multilateral bargaining," Journal of Public Economics, Elsevier, vol. 118(C), pages 75-85.
    20. Vespa, Emanuel I., 2016. "Malapportionment and multilateral bargaining: An experiment," Journal of Public Economics, Elsevier, vol. 133(C), pages 64-74.

    More about this item

    Keywords

    legislative bargaining; majority rule; unanimity rule; risk of breakdown; experiments;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    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:not:notcdx:2015-24. 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: Jose V Guinot Saporta (email available below). General contact details of provider: https://edirc.repec.org/data/cdnotuk.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.