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2 AD "^ SOME GENERALIZATIONS OF SOCIAL DECISIONS UNDER MAJORITY RULE Stuart J. T'iorson, et al Ohio State University Prepared for: Advanced Research Projects Agency 0 June 197 im DISTRIBUTED BY: NationaJ Technical Information Se^it U. S. DEPARTMENT OF COMMERCE 5285 Port Royal Riad, Springfield Va

3 »UM^JUi.^iu,^ ^^np.i^i.piuw.l l ^ U^JiBWH-W^flRU*^" ^' *^»"J ^*l 1?*l«IUiM imipumpwj*w* 1 ' " '"MIJULIIII W wrwmw., 11, i, i nw 1111 IUH ^y WrlVitmr- '--.»(MMOMiMlMiaaiaiw SOME GENERALIZATIONS OF SOCIAL DECISIONS UNDER MAJORITY RULE* R. E. Wendell School of Urban and Public Affairs Carnegie - Mellon University 00 and Stuart J. Thorson Project for Theoretical Politics Polimetrics Laboratory Department of Political Science The Ohio State University ReproJu'.t-d by NATIONAL TECHNICAL INFORMATION SERVICE U S Deparlmttnl o' Commerce Springfield VA [\n^ The research described in this paper was in part supported by ARPA contract DAHC 15 7-C A version of this work was presented at the 197 Annual Meetings of the Midwest Pol ideal Science Association. 1

4 JF. 4liWll,BHIJIIWip"i'L i " ^l rnm^mivmvmmvkittwmmi^iggmmmmsm^' miisuksw^^^mmm»9wv%rmw - U!!«!iW,lii^«J.I! imn^'mwyi.\mm.]' iw;^iyi..ii»wjwtiwj^jpm^!^iii«^i^fijiii UNCLASSIFIED S«-» \,.ti{y C'l.iKMlu.ill.)l DOCUMENT CONTROL DATA -R&D ' s - r ""'>- " "" -"- -'""-!; ^ ^".., /,.,..,,,,., rtill Project for Theoretical Politics The Ohio State university -^ gfladmini^tramnn Huilding im, l^>.^>e»h^ si- rur<i T r c L ASSI» ic ATION UNCLASSIFIED lb. CNour "Some Generalizations of Social Decisions Under Majority Pule" 4 t.6sc«!ptlve NOTES 7Vp«olrrpotl»nd lnclu,lv* c'.l.ü) Research Report & 8 5 *u THOWISI (Firm n«me. middle mlllml, I»,! ntmr)' Stuart J. Thorson Ri/hard E. Wendell «HLPOH T DA TE June 0, 197 a. CON TRACT OR GRANT NO DAHC15 7 C 0197 e. fnojt.c r NO A.O. 245-D20 7«. TOTAL NO. OF PACES M'JJ»a. ORIGINATOR-5 REPORT NUMPERIS) # NO. OF RE FS 4 ah - "j."«^ PORT NO(s, (Any "" " '" mb ' r ""' m ' Y b '""'«"-" 10 DISTRIBUTION STAIEMTNT Jhejmit.^taL" Govern^«** ^ " l>etnl " e<l <>r «"J' P-'P"" of II. SUPPLEMENTARY NOTES 12 SPONSORING MILITARY AC TIVITY Advanced Research Projects Agency Washington, D.C. '. ABSTRAC T The existence of equilibrium points under majority rule is investigated for an n-dimensional issue space and an expanded class of indifference contours. This paper genevalizes previous problem formulations ana results. DD. F fr a6 147 UNCLASSIFIED Sf' ' lasriiirntinn

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