In unserer Liquid Feedback Instanz wurde Thema 1613 abgestimmt. Diese Seite soll das Abstimmungsergebnis näher erklären.

Hinweis

  • Diese Seite hat zwei Ziele:
    1. Zum einen soll sie eine unabhängige und nachprüfbare Instanz sein, bei der die Ergebnisse von Liquid Feedback selbstständig aus den Abstimmungsdaten berechnet werden können, damit kein Vertrauen in diesen Aspekt von Liquid Feedback notwendig ist.
    2. Zum anderen soll das Abstimmungsergebnis möglichst verständlich aufbereitet werden und am konkreten Beispiel die benutzten Verfahren erklären.
  • Diese Aufbereitung ist noch in einem frühen Stadium. Weder die Erklärungen noch die Berechnungen sind vollständig zufriedenstellend. Für konstruktive Hinweise per Mail an niels.lohmann@piraten-mv.de freue ich mich sehr.
  • Die Reiter „Rohdaten“ und „Quelle“ sollen in Zukunft beschreiben, wie man an die hier aufbereiteten Daten und Ergebnisse kommen kann. Eine genauere Beschreibung sowie eine Veröffentlichung des Scriptes, das diese Seiten erstellt, steht noch aus.
  • Die hier gezeigte Umsetzung der Schulze-Methode entspricht nicht den in den jeweiligen Wikipedia-Artikeln beschrieben Verfahren, wo bei der Bestimmung der stärksten Wege ein anderer Vergleichsoperator genutzt wird. Eine genauere Beschreibung der Unterschiede steht aus. Mehr Details lassen sich auf der LQFB-Website bzw. gleich im Paper von Markus Schulze finden.
  • Die hier gezeigte Umsetzung der Schulze-Methode entspricht nicht vollständig dem in Liquid Feedback verwendeten Verfahren. Es ist also durchaus möglich (und bekannt), dass die hier beschriebenen Abstimmungsergebnisse nicht notwendigerweise mit denen in Liquid Feedback übereinstimmen. Ich stehe mit den Entwicklern in Kontakt, um dies zu ändern. Insbesondere verwendet Liquid Feedback ein Verfahren um stets eine vollständige Ordnung (statt nur einer Halbordnung) zu erreichen. Da die zuerst verwendete Umsetzung einen Fehler hatte und die nun verwendete Umsetzung undemokratisch ist (d.h. die Initiative mit der geringsten Id bevorzugt), habe ich mich dazu entschlossen, abzuwarten wie dieses Problem gelöst wird.
  • Definitiv in Planung ist ein Vergleich des Endergebnisses mit den abgegebenen Stimmen. Vielleicht lässt sich quantifizieren, inwieweit das Abstimmungsergebnis den Mehrheitswillen abbildet. Ebenso wäre es wünschenswert, weitere Eigenschaften des Wahlverfahrens (z.B. Clone-Proofness) zu beschreiben.

Initiativen

Es standen 1 Initiativen im Bereich Außen, Internationales, Frieden zur Abstimmung:

Im folgenden werden die Initiativen nur noch mit ihrer Nummer beschrieben.

SELECT area_id, fully_frozen, closed FROM issue WHERE (id = '1613') ORDER BY id
SELECT name FROM area WHERE (id = 7) ORDER BY id
SELECT id, name FROM initiative WHERE (issue_id = '1613' AND admitted = true) ORDER BY id
issue
Groups of initiatives
area
Subject areas
initiative
Group of members publishing drafts for resolutions to be passed; Frontends must ensure that initiatives of half_frozen issues are not revoked, and that initiatives of fully_frozen or closed issues are neither revoked nor created.
(7, datetime.datetime(2012, 5, 16, 10, 49, 37, 968395, tzinfo=psycopg2.tz.FixedOffsetTimezone(offset=120, name=None)), datetime.datetime(2012, 5, 24, 10, 53, 43, 668010, tzinfo=psycopg2.tz.FixedOffsetTimezone(offset=120, name=None)))
('Au\xc3\x9fen, Internationales, Frieden',)
(2941, 'Reaktion auf den Brief von Innenminister Friedrich')

Abstimmung

Die Abstimmung fand von Mittwoch, den 16. Mai 2012 bis Donnerstag, den 24. Mai 2012 statt.

Es haben 627 Mitglieder mit insgesamt 876 Stimmen abgestimmt.

Falls es mehr Stimmen als Mitglieder gibt, entstammen die zusätzlichen Stimmen Delegationen. Falls ein Mitglied beispielsweise mit zwei eingehenden Delegationen abgestimmt hat, wird dies im folgenden wie zwei zusätzliche gleiche abgegebene Stimmen behandelt.

SELECT member_id, weight FROM direct_voter WHERE (issue_id = '1613')
direct_voter
Members having directly voted for/against initiatives of an issue; Frontends must ensure that no voters are added or removed to/from this table when the issue has been closed.
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Stimmzettel

Liquid Feedback benutzt bei der Abstimmung eine sogenannte Präferenzwahl. Dabei können neben der Zustimmung und Ablehnung der zur Abstimmung stehenden Initiativen Präferenzen zum Ausdruck gebracht werden (Favorit, erster Ersatzwunsch, …).

Die Abstimmungen im Liquid Feedback sind öffentlich. Im folgenden stellt jede Zeile einen abgegebenen Stimmzettel dar. Die farbig hinterlegten Zahlen geben die gewünschte Reihenfolge der Initiativen wieder: Initiativen mit einer höheren Zahl werden gegenüber Initiativen mit einer geringeren Zahl bevorzugt. Initiativen mit gleicher Zahl sind nicht geordnet. Grüne Zahlen entsprechen Zustimmung, rote Zahlen entsprechen Ablehnung.

  • 1 2941×614
  • -1 2941×173
  • 0 2941×77

Wie beschrieben wurden Stimmen entsprechend des Stimmgewichtes durch eingehende Delegationen wiederholt. Um Platz zu sparen, wird jeder unterschiedliche Wahlzettel nur einmal angezeigt - der Wert am Ende der Zeile gibt an, wie viele gleich ausgefüllt Wahlzettel es gibt.

Der Wert der bunt hinterlegten Zahlen wird im folgenden nur für die Reihenfolge verwendet – die Höhe spielt dabei nur innerhalb eines Stimmzettel eine Rolle. Weiterhin ist es nicht möglich, „Lücken“ in den Werten zu haben und beispielsweise den Wert 3 ohne den Wert 2 zu vergeben.

SELECT initiative_id, grade FROM vote WHERE (issue_id = 1613 AND member_id = ___) ORDER BY grade DESC
vote
Manual and delegated votes without abstentions; Frontends must ensure that no votes are added modified or removed when the issue has been closed.

Hinweis: Das Feld member_id wurde ausgeblendet.

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Präferenzen

Durch die Abstimmungen wurden insgesamt 0 explizite und 787 implizite Präferenzen abgegeben. Eine explizite Präferenz ist dabei eine vom Mitglied ausgedrückte Reihenfolge zwischen zwei Initiativen. Weiterhin wird aus jedem Stimmzettel errechnet, welche Initiativen gegenüber dem Status Quo bevorzugt werden (d.h. mit einer positiven Zahl bewertet werden) bzw. welche abgelehnt werden (d.h. mit einer negativen Zahl bewertet werden). Diese impliziten Präferenzen werden später dazu verwendet zu entscheiden, ob eine Initiative angenommen oder abgelehnt wird.

Präferenztabelle

Die folgende Tabelle fasst alle Präferenzen zusammen. Jeder Eintrag gibt an, wie viele Mitglieder die Initiative der jeweiligen Zeile der Initiative der jeweiligen Spalte bevorzugen. Grün hinterlegte Zellen beschreiben eine mehrheitliche Zustimmung der Initiative in der jeweiligen Zeile verglichen mit der Initiative in der jeweiligen Spalte. Rot hinterlegte Zellen beschreiben eine mehrheitliche Ablehnungen der Initiative in der jeweiligen Zeile verglichen mit der Initiative in der jeweiligen Spalte.

>V 2941 SQ
2941 614
SQ 173

Der Eintrag „SQ“ steht für den Status Quo, der wie eine virtuelle Initiative behandelt wird, die nur mit den impliziten Präferenzen bewertet wird. Wenn ein Mitglied einer Initiative zustimmt, präferiert es diese Initiative gegenüber dem Status Quo. Wenn ein Mitglied hingegen eine Initiative ablehnt, präferiert er den Status Quo gegenüber dieser Initiative. Demnach entspricht die letzte Zeile der Tabelle der Anzahl der Ablehnungen für jede Initiative und die letzte Spalte der Tabelle die Anzahl der Zustimmungen für jede Initiative. Details sind auf dieser Seite beschrieben.

Grafische Darstellung

Die Grafik interpretiert die Tabelle wie folgt: Jeder Kreis entspricht einer Initiative und jeder Pfeil gibt an, wie viele Mitglieder die eine oder die andere Initiative im direkten Vergleich bevorzugen. Die Richtung des Pfeiles stellt eine Mehrheit im direkten Vergleich dar. Bei Gleichstand wird eine Linie ohne Pfeilspitze gezogen. Die Linien sind mit den Präferenzen beschriftet.

Hinweis: Diese Grafik ist nur eine andere Darstellung der Präferenztabelle und gibt lediglich direkte Vergliche, jedoch keine allgemeine Ordnung zwischen Initiativen wieder.

Explizite Präferenzen

Bei einer einzigen Initiative gibt es keine expliziten Präferenzen.

Implizite Präferenzen gegenüber Status Quo

  1. SQ >V 2941
  2. SQ >V 2941
  3. 2941 >V SQ
  4. SQ >V 2941
  5. SQ >V 2941
  6. SQ >V 2941
  7. SQ >V 2941
  8. SQ >V 2941
  9. SQ >V 2941
  10. SQ >V 2941
  11. SQ >V 2941
  12. SQ >V 2941
  13. SQ >V 2941
  14. SQ >V 2941
  15. SQ >V 2941
  16. SQ >V 2941
  17. SQ >V 2941
  18. SQ >V 2941
  19. SQ >V 2941
  20. SQ >V 2941
  21. SQ >V 2941
  22. SQ >V 2941
  23. SQ >V 2941
  24. SQ >V 2941
  25. SQ >V 2941
  26. SQ >V 2941
  27. SQ >V 2941
  28. SQ >V 2941
  29. SQ >V 2941
  30. SQ >V 2941
  31. SQ >V 2941
  32. SQ >V 2941
  33. SQ >V 2941
  34. SQ >V 2941
  35. SQ >V 2941
  36. SQ >V 2941
  37. SQ >V 2941
  38. 2941 >V SQ
  39. SQ >V 2941
  40. SQ >V 2941
  41. SQ >V 2941
  42. SQ >V 2941
  43. 2941 >V SQ
  44. SQ >V 2941
  45. SQ >V 2941
  46. SQ >V 2941
  47. SQ >V 2941
  48. SQ >V 2941
  49. SQ >V 2941
  50. SQ >V 2941
  51. 2941 >V SQ
  52. 2941 >V SQ
  53. SQ >V 2941
  54. 2941 >V SQ
  55. SQ >V 2941
  56. SQ >V 2941
  57. SQ >V 2941
  58. 2941 >V SQ
  59. 2941 >V SQ
  60. 2941 >V SQ
  61. 2941 >V SQ
  62. SQ >V 2941
  63. SQ >V 2941
  64. SQ >V 2941
  65. SQ >V 2941
  66. 2941 >V SQ
  67. SQ >V 2941
  68. SQ >V 2941
  69. 2941 >V SQ
  70. SQ >V 2941
  71. 2941 >V SQ
  72. 2941 >V SQ
  73. SQ >V 2941
  74. SQ >V 2941
  75. SQ >V 2941
  76. SQ >V 2941
  77. SQ >V 2941
  78. 2941 >V SQ
  79. SQ >V 2941
  80. SQ >V 2941
  81. SQ >V 2941
  82. SQ >V 2941
  83. 2941 >V SQ
  84. SQ >V 2941
  85. SQ >V 2941
  86. 2941 >V SQ
  87. 2941 >V SQ
  88. SQ >V 2941
  89. SQ >V 2941
  90. SQ >V 2941
  91. SQ >V 2941
  92. 2941 >V SQ
  93. SQ >V 2941
  94. SQ >V 2941
  95. SQ >V 2941
  96. SQ >V 2941
  97. SQ >V 2941
  98. 2941 >V SQ
  99. SQ >V 2941
  100. SQ >V 2941
  101. SQ >V 2941
  102. 2941 >V SQ
  103. SQ >V 2941
  104. SQ >V 2941
  105. 2941 >V SQ
  106. 2941 >V SQ
  107. SQ >V 2941
  108. SQ >V 2941
  109. SQ >V 2941
  110. SQ >V 2941
  111. SQ >V 2941
  112. SQ >V 2941
  113. SQ >V 2941
  114. 2941 >V SQ
  115. SQ >V 2941
  116. SQ >V 2941
  117. SQ >V 2941
  118. SQ >V 2941
  119. SQ >V 2941
  120. SQ >V 2941
  121. 2941 >V SQ
  122. SQ >V 2941
  123. SQ >V 2941
  124. 2941 >V SQ
  125. SQ >V 2941
  126. 2941 >V SQ
  127. 2941 >V SQ
  128. SQ >V 2941
  129. 2941 >V SQ
  130. 2941 >V SQ
  131. SQ >V 2941
  132. SQ >V 2941
  133. SQ >V 2941
  134. SQ >V 2941
  135. SQ >V 2941
  136. SQ >V 2941
  137. SQ >V 2941
  138. SQ >V 2941
  139. SQ >V 2941
  140. SQ >V 2941
  141. SQ >V 2941
  142. SQ >V 2941
  143. SQ >V 2941
  144. SQ >V 2941
  145. SQ >V 2941
  146. SQ >V 2941
  147. SQ >V 2941
  148. SQ >V 2941
  149. SQ >V 2941
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  152. SQ >V 2941
  153. SQ >V 2941
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  156. SQ >V 2941
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  158. SQ >V 2941
  159. SQ >V 2941
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  165. 2941 >V SQ
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  168. 2941 >V SQ
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  173. SQ >V 2941
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  179. SQ >V 2941
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  190. SQ >V 2941
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  193. SQ >V 2941
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  201. SQ >V 2941
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  209. SQ >V 2941
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  262. SQ >V 2941
  263. SQ >V 2941
  264. SQ >V 2941
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  267. SQ >V 2941
  268. SQ >V 2941
  269. SQ >V 2941
  270. SQ >V 2941
  271. SQ >V 2941
  272. SQ >V 2941
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  274. SQ >V 2941
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  278. SQ >V 2941
  279. SQ >V 2941
  280. SQ >V 2941
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  282. SQ >V 2941
  283. SQ >V 2941
  284. SQ >V 2941
  285. SQ >V 2941
  286. SQ >V 2941
  287. SQ >V 2941
  288. SQ >V 2941
  289. SQ >V 2941
  290. SQ >V 2941
  291. SQ >V 2941
  292. SQ >V 2941
  293. SQ >V 2941
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  296. SQ >V 2941
  297. SQ >V 2941
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  302. SQ >V 2941
  303. SQ >V 2941
  304. SQ >V 2941
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  306. SQ >V 2941
  307. SQ >V 2941
  308. SQ >V 2941
  309. SQ >V 2941
  310. SQ >V 2941
  311. SQ >V 2941
  312. SQ >V 2941
  313. SQ >V 2941
  314. SQ >V 2941
  315. SQ >V 2941
  316. SQ >V 2941
  317. SQ >V 2941
  318. 2941 >V SQ
  319. SQ >V 2941
  320. SQ >V 2941
  321. SQ >V 2941
  322. SQ >V 2941
  323. SQ >V 2941
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  326. SQ >V 2941
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  329. SQ >V 2941
  330. 2941 >V SQ
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  333. SQ >V 2941
  334. SQ >V 2941
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  337. SQ >V 2941
  338. SQ >V 2941
  339. SQ >V 2941
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  341. SQ >V 2941
  342. SQ >V 2941
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  345. SQ >V 2941
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  348. SQ >V 2941
  349. SQ >V 2941
  350. SQ >V 2941
  351. SQ >V 2941
  352. 2941 >V SQ
  353. SQ >V 2941
  354. SQ >V 2941
  355. SQ >V 2941
  356. 2941 >V SQ
  357. SQ >V 2941
  358. SQ >V 2941
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  360. 2941 >V SQ
  361. 2941 >V SQ
  362. SQ >V 2941
  363. SQ >V 2941
  364. SQ >V 2941
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  366. SQ >V 2941
  367. 2941 >V SQ
  368. SQ >V 2941
  369. SQ >V 2941
  370. SQ >V 2941
  371. SQ >V 2941
  372. SQ >V 2941
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  374. SQ >V 2941
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  377. SQ >V 2941
  378. SQ >V 2941
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  380. 2941 >V SQ
  381. SQ >V 2941
  382. 2941 >V SQ
  383. SQ >V 2941
  384. SQ >V 2941
  385. SQ >V 2941
  386. 2941 >V SQ
  387. SQ >V 2941
  388. SQ >V 2941
  389. SQ >V 2941
  390. SQ >V 2941
  391. SQ >V 2941
  392. SQ >V 2941
  393. 2941 >V SQ
  394. SQ >V 2941
  395. SQ >V 2941
  396. SQ >V 2941
  397. SQ >V 2941
  398. SQ >V 2941
  399. SQ >V 2941
  400. SQ >V 2941
  401. SQ >V 2941
  402. SQ >V 2941
  403. SQ >V 2941
  404. SQ >V 2941
  405. SQ >V 2941
  406. SQ >V 2941
  407. 2941 >V SQ
  408. SQ >V 2941
  409. SQ >V 2941
  410. SQ >V 2941
  411. 2941 >V SQ
  412. SQ >V 2941
  413. 2941 >V SQ
  414. 2941 >V SQ
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  416. 2941 >V SQ
  417. 2941 >V SQ
  418. 2941 >V SQ
  419. 2941 >V SQ
  420. 2941 >V SQ
  421. SQ >V 2941
  422. SQ >V 2941
  423. SQ >V 2941
  424. SQ >V 2941
  425. SQ >V 2941
  426. SQ >V 2941
  427. SQ >V 2941
  428. SQ >V 2941
  429. SQ >V 2941
  430. SQ >V 2941
  431. SQ >V 2941
  432. SQ >V 2941
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  434. SQ >V 2941
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  438. SQ >V 2941
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  451. SQ >V 2941
  452. SQ >V 2941
  453. SQ >V 2941
  454. SQ >V 2941
  455. SQ >V 2941
  456. SQ >V 2941
  457. SQ >V 2941
  458. SQ >V 2941
  459. SQ >V 2941
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  461. SQ >V 2941
  462. SQ >V 2941
  463. 2941 >V SQ
  464. SQ >V 2941
  465. SQ >V 2941
  466. SQ >V 2941
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  469. SQ >V 2941
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  473. SQ >V 2941
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  476. 2941 >V SQ
  477. SQ >V 2941
  478. SQ >V 2941
  479. SQ >V 2941
  480. SQ >V 2941
  481. SQ >V 2941
  482. SQ >V 2941
  483. SQ >V 2941
  484. SQ >V 2941
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  486. SQ >V 2941
  487. SQ >V 2941
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  489. SQ >V 2941
  490. SQ >V 2941
  491. 2941 >V SQ
  492. SQ >V 2941
  493. SQ >V 2941
  494. SQ >V 2941
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  496. SQ >V 2941
  497. SQ >V 2941
  498. SQ >V 2941
  499. SQ >V 2941
  500. SQ >V 2941
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  503. SQ >V 2941
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  505. 2941 >V SQ
  506. SQ >V 2941
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  508. SQ >V 2941
  509. SQ >V 2941
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  511. SQ >V 2941
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  513. SQ >V 2941
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  516. SQ >V 2941
  517. SQ >V 2941
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  520. SQ >V 2941
  521. SQ >V 2941
  522. SQ >V 2941
  523. SQ >V 2941
  524. SQ >V 2941
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  526. 2941 >V SQ
  527. 2941 >V SQ
  528. SQ >V 2941
  529. SQ >V 2941
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  531. SQ >V 2941
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  535. SQ >V 2941
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  541. SQ >V 2941
  542. SQ >V 2941
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  544. 2941 >V SQ
  545. SQ >V 2941
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  548. SQ >V 2941
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  551. SQ >V 2941
  552. SQ >V 2941
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  555. SQ >V 2941
  556. SQ >V 2941
  557. SQ >V 2941
  558. SQ >V 2941
  559. SQ >V 2941
  560. SQ >V 2941
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  564. SQ >V 2941
  565. SQ >V 2941
  566. SQ >V 2941
  567. SQ >V 2941
  568. SQ >V 2941
  569. SQ >V 2941
  570. SQ >V 2941
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  573. SQ >V 2941
  574. SQ >V 2941
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  579. SQ >V 2941
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  593. SQ >V 2941
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  600. SQ >V 2941
  601. SQ >V 2941
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  603. SQ >V 2941
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  612. 2941 >V SQ
  613. SQ >V 2941
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  616. SQ >V 2941
  617. SQ >V 2941
  618. SQ >V 2941
  619. SQ >V 2941
  620. SQ >V 2941
  621. SQ >V 2941
  622. SQ >V 2941
  623. SQ >V 2941
  624. SQ >V 2941
  625. SQ >V 2941
  626. SQ >V 2941
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  628. SQ >V 2941
  629. SQ >V 2941
  630. SQ >V 2941
  631. SQ >V 2941
  632. SQ >V 2941
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  657. 2941 >V SQ
  658. SQ >V 2941
  659. SQ >V 2941
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  664. 2941 >V SQ
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  668. SQ >V 2941
  669. SQ >V 2941
  670. 2941 >V SQ
  671. SQ >V 2941
  672. SQ >V 2941
  673. SQ >V 2941
  674. SQ >V 2941
  675. SQ >V 2941
  676. SQ >V 2941
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  678. SQ >V 2941
  679. SQ >V 2941
  680. SQ >V 2941
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  682. SQ >V 2941
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  694. 2941 >V SQ
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  698. 2941 >V SQ
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  709. 2941 >V SQ
  710. 2941 >V SQ
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  713. 2941 >V SQ
  714. 2941 >V SQ
  715. SQ >V 2941
  716. SQ >V 2941
  717. SQ >V 2941
  718. 2941 >V SQ
  719. SQ >V 2941
  720. 2941 >V SQ
  721. SQ >V 2941
  722. SQ >V 2941
  723. 2941 >V SQ
  724. 2941 >V SQ
  725. SQ >V 2941
  726. SQ >V 2941
  727. SQ >V 2941
  728. SQ >V 2941
  729. SQ >V 2941
  730. SQ >V 2941
  731. SQ >V 2941
  732. SQ >V 2941
  733. SQ >V 2941
  734. SQ >V 2941
  735. SQ >V 2941
  736. 2941 >V SQ
  737. SQ >V 2941
  738. 2941 >V SQ
  739. SQ >V 2941
  740. SQ >V 2941
  741. 2941 >V SQ
  742. SQ >V 2941
  743. SQ >V 2941
  744. SQ >V 2941
  745. SQ >V 2941
  746. SQ >V 2941
  747. SQ >V 2941
  748. SQ >V 2941
  749. 2941 >V SQ
  750. SQ >V 2941
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  755. SQ >V 2941
  756. SQ >V 2941
  757. SQ >V 2941
  758. SQ >V 2941
  759. SQ >V 2941
  760. SQ >V 2941
  761. SQ >V 2941
  762. SQ >V 2941
  763. SQ >V 2941
  764. SQ >V 2941
  765. SQ >V 2941
  766. 2941 >V SQ
  767. SQ >V 2941
  768. 2941 >V SQ
  769. SQ >V 2941
  770. SQ >V 2941
  771. SQ >V 2941
  772. SQ >V 2941
  773. SQ >V 2941
  774. SQ >V 2941
  775. SQ >V 2941
  776. SQ >V 2941
  777. SQ >V 2941
  778. 2941 >V SQ
  779. 2941 >V SQ
  780. SQ >V 2941
  781. SQ >V 2941
  782. SQ >V 2941
  783. SQ >V 2941
  784. SQ >V 2941
  785. SQ >V 2941
  786. SQ >V 2941
  787. SQ >V 2941

Schulze-Methode

Um aus der Präferenztabelle eine allgemeine Ordnung der Initiativen zu finden wird die Schulze-Methode verwendet. Diese vergleicht nun die Initiativen nicht nur direkt, sondern auch indirekt. Dabei wird davon ausgegangen, dass Präferenzen transitiv sind, d.h. dass ein Mitglied, dass Initiative A gegenüber B präferiert und B gegenüber C, dann auch A gegenüber C präferieren würde.

Die Schulze-Methode ermittelt nun für jeweils zwei Initiativen A und B die höchste Präferenz, indem nicht nur die direkte Verbindung zwischen A und B, sondern auch indirekte Verbindungen zwischen A und C sowie C und B verglichen werden. Das Ergebnis sind dann die sogenannten stärksten Wege.

Tabelle der stärksten Wege

Die folgende Tabelle fasst alle stärksten Wege zusammen. Jeder Eintrag gibt die Stärke des besten Weges zwischen der Initiative der jeweiligen Zeile der Initiative der jeweiligen Spalte an.

PD 2941 SQ
2941 614
SQ 173

Werte, die sich gegenüber der Präferenztabelle unterscheiden, sind fett hervorgehoben. Es ist durchaus möglich, dass gerade bei Abstimmungen zwischen wenigen Initiativen diese Tabelle mit der ursprünglichen Präferenztabelle übereinstimmt. In diesem Fall konnte kein besserer Weg zwischen den jeweiligen Initiativen gefunden werden.

Grafische Darstellung

Schulze-Rang

Mithilfe der stärksten Wege kann nun jede Initiative mit jeder anderen verglichen werden. Da es sein kann, dass mehrere Initiativen gleich gut sind, ist das Ergebnis der Schulze-Methode in der Regel Halbordnung. Dies bedeutet, dass es nicht nur mehrere Siegerinitiativen geben kann, sondern auch, dass nur durch zusätzliche Regeln eine feste Reihenfolge zwischen ansonsten gleich guten Initiativen gefunden werden muss.

Grafische Darstellung

Das Ergebnis der Schulze-Methode kann grafisch so aufgefasst werden, dass ein Pfeil zwischen Initiative A und Initiative B bedeutet, dass im Endergebnis Initiative A besser als Initiative B ist:

Die Grafik wurde zur erhöhten Lesbarkeit transitiv reduziert, d.h. das Pfeile, die sich aus anderen Pfeilen ableiten lassen weggelassen wurden. Wenn beispielsweise Initiative A besser ist als Initiative B und C ist und Initiative B wiederum besser ist als Initiative C ist, dann kann der Pfeil zwischen A und C weggelassen werden.

Eine besondere Rolle spielt bei dieser Halbordnung der Status Quo (blau eingezeichnet). Jede Initiative, die nicht besser als der Status Quo ist (in der Grafik rot eingezeichnet), wird im späteren Verfahren der Siegerermittlung automatisch abgelehnt.

Vollständige Rangfolge

Die oben dargestellt Halbordnung kann mithilfe einer topologischen Sortierung in eine vollständige Ordnung überführt werden. Diese Sortierung hat die Eigenschaft, dass alle in der Halbordnung festgelegten Reihenfolgen eigehalten werden, jedoch bisher ungeordnete Initiativen in eine (potenziell willkürliche) Ordnung gebracht werden.

Im konkreten Fall ist die Ordnung eindeutig.

  1. Initiative 2941: Reaktion auf den Brief von Innenminister Friedrich
  2. Status Quo

O = { [2941,SQ] }

Annehmen und Ablehnen von Initiativen

Neben den reinen Präferenzen spielen auch weitere Regeln eine Rolle bei der Ermittlung der Abstimmungssieger.

Dieses Thema wurde mit dem Regelwerk Meinungsbild / Beschlussvorlage abgestimmt. In diesem Regelwerk werden Initiativen nur angenommen, wenn

  1. ihr Schulze-Rang besser als der des Status Quo ist und
  2. es mehr Zustimmungen als Ablehnungen gibt.

Falls eines dieser Kriterien verletzt wird, wird die jeweilige Initiativen bei der Ermittlung des Siegers nicht weiter berücksichtigt.

Ergebnisse

  • Initiative 2941: Reaktion auf den Brief von Innenminister Friedrich angenommen
    • 614 Zustimmungen
    • 173 Ablehnungen
    • 77 Enthaltungen
    • Verhältnis von Zustimmungen und Ablehnungen ist ausreichend
    • Schulze-Rang ist besser als Status Quo
SELECT policy_id FROM issue WHERE (id = '1613') ORDER BY id
SELECT name, direct_majority_num, direct_majority_den, direct_majority_strict FROM policy WHERE (id = 4) ORDER BY id
vote
Manual and delegated votes without abstentions; Frontends must ensure that no votes are added modified or removed when the issue has been closed.
policy
Policies for a particular proceeding type (timelimits, quorum)
(4,)
('Meinungsbild / Beschlussvorlage', 1, 2, True)

Gewinner

Entsprechend der Schulze-Methode gibt es folgende Gewinner:

Gewinner Initiative 2941: Reaktion auf den Brief von Innenminister Friedrich

Diese Initiative hat den besten Schulze-Rang unter den angenommenen Initiativen.