eprintid: 35195 rev_number: 11 eprint_status: archive userid: 3730 dir: disk0/00/03/51/95 datestamp: 2024-07-27 08:41:51 lastmod: 2024-08-15 08:07:05 status_changed: 2024-07-27 08:41:51 type: workingPaper succeeds: 31117 metadata_visibility: show creators_name: Piazolo, David creators_name: Vanberg, Christoph title: Legislative bargaining with private information: A comparison of majority and unanimity rule subjects: ddc-330 divisions: i-181000 keywords: Bargaining; voting; unanimity rule; majority rule; private information; signaling abstract: We present a three-person, two-period bargaining game with private information. A single proposer is seeking to secure agreement to a proposal under either majority or unanimity rule. If the first period proposal fails, the game ends immediately with an exogenously given “breakdown” probability. Two responders have privately known disagreement payoffs. We characterize Bayesian equilibria in stagewise undominated strategies. Our central result is that responders have a signaling incentive to vote “no” on the first proposal under unanimity rule, whereas no such incentive exists under majority rule. The reason is that being perceived as a “high breakdown value type” is advantageous under unanimity rule, but disadvantageous under majority rule. As a consequence, responders are “more expensive” under unanimity rule and disagreement is more likely. These results confirm intuitions that have been stated informally before and in addition yield deeper insights into the underlying incentives and what they imply for optimal behavior in bargaining with private information. date: 2024-07 id_scheme: DOI id_number: 10.11588/heidok.00035195 schriftenreihe_cluster_id: sr-3 schriftenreihe_order: 0753 ppn_swb: 1898229317 own_urn: urn:nbn:de:bsz:16-heidok-351956 language: eng bibsort: PIAZOLODAVLEGISLATIV202407 full_text_status: public series: Discussion Paper Series / University of Heidelberg, Department of Economics volume: 0753 place_of_pub: Heidelberg pages: 52 edition: Zweite Auflage citation: Piazolo, David ; Vanberg, Christoph (2024) Legislative bargaining with private information: A comparison of majority and unanimity rule. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/35195/13/Piazolo_Vanberg_2024_dp753.pdf