03385a315b80c84c20785167f5217838 games_a2022v13n6p77iENG.pdf d64c9a7c5bfba2defec2a700bb843605a3622a72 games_a2022v13n6p77iENG.pdf 9e5cb355df5e2c07544a75c634ac4f6229babbf0b4ecc0c21579bb2875989188 games_a2022v13n6p77iENG.pdf Title: The Unanimity Rule under a Two-Agent Fixed Sequential Order Voting Subject: This paper studies how the cost of delay and voting order affect agents' decisions in a unanimity voting mechanism. Specifically, we consider two-voter conclaves with commonly known preferences over two alternatives, the cost of delay, and the following novelty: each voter has a subjective deadline—a moment in time when he/she prefers immediate agreement on any alternative, rather than future agreement on his/her most-preferred alternative. Our key finding shows that patience is not necessarily a main attribute of strategic advantage. When the first voter is the same at every stage, this voter will obtain his/her preferred alternative, even if he/she is the least patient one. However, this first movement advantage disappears when agents alternate as the first voter of each stage: in this case, the most patient voter always wins. Keywords: sequential voting; fixed ordering; alternate ordering; subgame perfect equilibrium Author: Firstname Lastname, Firstname Lastname and Firstname Lastname Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Thu Nov 17 14:49:23 2022 CET ModDate: Tue Mar 4 16:14:21 2025 CET Custom Metadata: no Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 8 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 267354 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- TUWXMO+URWPalladioL-Bold Type 1 Custom yes yes no 205 0 RVZHAQ+URWPalladioL-Roma Type 1 Custom yes yes no 208 0 XGYTWW+URWPalladioL-Ital Type 1 Custom yes yes no 211 0 RIPDHW+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 220 0 RQEXUX+dsrom10 Type 1 Builtin yes yes no 118 0 RZMCEN+PazoMath-Italic Type 1 Builtin yes yes no 121 0 OLYFNM+TeX-matha10 Type 1 Builtin yes yes no 124 0 NYHDPO+TeX-matha8 Type 1 Builtin yes yes no 125 0 FXIONQ+TeX-mathx10 Type 1 Builtin yes yes no 127 0 DXBUJU+NimbusRomNo9L-ReguItal Type 1 Custom yes yes no 64 0 CZKGAS+CMR10 Type 1 Custom yes yes no 68 0 XYLMEX+CMMI10 Type 1 Custom yes yes no 72 0 FXEFTO+StandardSymL Type 1 Custom yes yes no 76 0 UNHQOD+NimbusRomNo9L-Regu Type 1 Custom yes yes no 80 0 LGFGBK+TeX-matha9 Type 1 Builtin yes yes no 130 0 EMYSNT+TeX-matha7 Type 1 Builtin yes yes no 131 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2025-03-05 02:10:39 CET RepresentationInformation: games_a2022v13n6p77iENG.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2025-03-04 18:21:51 CET Size: 267354 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 0 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseNone Outlines: Item: Title: Introduction Destination: section.1 Item: Title: The Model Destination: section.2 Children: Item: Title: Decision Problem Destination: subsection.2.1 Item: Title: Order Schemes Destination: subsection.2.2 Item: Title: The Strategic Impact of Order Schemes Destination: section.3 Item: Title: Discussion Destination: section.4 Item: Title: Conclusions Destination: section.5 Item: Title: References Destination: section.5 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: RVZHAQ+URWPalladioL-Roma FontSubset: true FirstChar: 2 LastChar: 246 FontDescriptor: FontName: RVZHAQ+URWPalladioL-Roma Flags: Symbolic FontBBox: -166, -283, 1021, 943 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: LGFGBK+TeX-matha9 FontSubset: true FirstChar: 16 LastChar: 165 FontDescriptor: FontName: LGFGBK+TeX-matha9 Flags: Symbolic FontBBox: -132, -966, 993, 926 FontFile: true Font: BaseFont: XGYTWW+URWPalladioL-Ital FontSubset: true FirstChar: 2 LastChar: 122 FontDescriptor: FontName: XGYTWW+URWPalladioL-Ital Flags: Symbolic FontBBox: -170, -305, 1010, 941 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: EMYSNT+TeX-matha7 FontSubset: true FirstChar: 1 LastChar: 1 FontDescriptor: FontName: EMYSNT+TeX-matha7 Flags: Symbolic FontBBox: -151, -957, 1074, 952 FontFile: true Font: BaseFont: RQEXUX+dsrom10 FontSubset: true FirstChar: 78 LastChar: 82 FontDescriptor: FontName: RQEXUX+dsrom10 Flags: Symbolic FontBBox: -31, -13, 1046, 902 FontFile: true Font: BaseFont: RZMCEN+PazoMath-Italic FontSubset: true FirstChar: 97 LastChar: 100 FontDescriptor: FontName: RZMCEN+PazoMath-Italic Flags: Symbolic FontBBox: -70, -277, 902, 733 FontFile: true Font: BaseFont: OLYFNM+TeX-matha10 FontSubset: true FirstChar: 0 LastChar: 209 FontDescriptor: FontName: OLYFNM+TeX-matha10 Flags: Symbolic FontBBox: -127, -970, 966, 914 FontFile: true Font: BaseFont: TUWXMO+URWPalladioL-Bold FontSubset: true FirstChar: 2 LastChar: 243 FontDescriptor: FontName: TUWXMO+URWPalladioL-Bold Flags: Symbolic FontBBox: -152, -301, 1000, 935 FontFile: true EncodingDictionary: Differences: true Font: BaseFont: NYHDPO+TeX-matha8 FontSubset: true FirstChar: 1 LastChar: 80 FontDescriptor: FontName: NYHDPO+TeX-matha8 Flags: Symbolic FontBBox: -137, -962, 1024, 940 FontFile: true Font: BaseFont: FXIONQ+TeX-mathx10 FontSubset: true FirstChar: 7 LastChar: 163 FontDescriptor: FontName: FXIONQ+TeX-mathx10 Flags: Symbolic FontBBox: -12, -2972, 2309, 776 FontFile: true XMP: application/pdf Firstname Lastname, Firstname Lastname and Firstname Lastname This paper studies how the cost of delay and voting order affect agents' decisions in a unanimity voting mechanism. Specifically, we consider two-voter conclaves with commonly known preferences over two alternatives, the cost of delay, and the following novelty: each voter has a subjective deadline—a moment in time when he/she prefers immediate agreement on any alternative, rather than future agreement on his/her most-preferred alternative. Our key finding shows that patience is not necessarily a main attribute of strategic advantage. When the first voter is the same at every stage, this voter will obtain his/her preferred alternative, even if he/she is the least patient one. However, this first movement advantage disappears when agents alternate as the first voter of each stage: in this case, the most patient voter always wins. 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