268:
252:
314:
296:
412:
394:
92:
75:
324:
21:
154:
123:
164:
588:
First of all, how can something like this be âprovedâ? It seems to be an empirical matter. But more importantly, the article later says, with regards to the failure of the theory to predict actual choices, that âSavage's response was not that this showed a flaw in his method, rather that applying his
621:
I don't see how it's an empirical matter. Once you have axiomatized what it means for an individual to be "rational" and to hold "beliefs", then the question becomes a matter of mathematical logic. The crucial condition in the first sentence that you quoted is "if you adhere to the axioms of
960:
955:
472:
965:
835:
791:
867:
275:
137:
687:
604:
claim, since this one also contains the problematic claim of a proof. Could we either get a description more in line with Savage's own claim, or a reference for this flaw?
547:
583:
990:
466:
185:
on
Knowledge. If you would like to support the project, please visit the project page, where you can get more details on how you can help, and where you can join the
975:
911:
891:
747:
727:
707:
370:
935:
222:
212:
376:
985:
930:
925:
644:
You write : "Savage assumed that it is possible to take convex combinations of decisions and that preferences would be preserved. So if you prefer
980:
970:
945:
516:
The article claims that âSavage proved that, if you adhere to axioms of rationality, if you believe an uncertain event has possible outcomes
187:
346:
67:
940:
623:
950:
495:
442:
438:
434:
430:
419:
399:
177:
128:
622:
rationality", this means the rest is a normative statement of logic, rather than a positive statement of empirical observation.
337:
301:
329:
103:
259:
133:
52:
91:
796:
752:
627:
499:
109:
36:
840:
609:
647:
600:
reason. This problem is so flagrant that I have to question whether Savage ever actually made the
345:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
20:
519:
169:
552:
596:
actual choices, but according to the second quote it is a normative theory about how people
60:
631:
613:
503:
605:
896:
876:
732:
712:
692:
267:
251:
919:
313:
295:
424:
423:, an attempt to improve, grow, and standardize Knowledge's articles related to
319:
182:
159:
411:
393:
342:
31:
323:
57:
494:
Could we perhaps create a page for Savage
Paradigm that redirects here?
181:, a collaborative effort to improve the coverage of content related to
592:
The first paragraph claims a descriptive role for the theory, that it
153:
122:
585:
then your choices can be explained as arising from a functionâŠâ
47:
589:
method allowed individuals to improve their decision making.â
85:
40:
column on 29 July 2004. The text of the entry was as follows:
15:
266:
250:
73:
961:
Low-importance social and political philosophy articles
899:
879:
843:
799:
755:
735:
715:
695:
650:
555:
522:
956:
Start-Class social and political philosophy articles
341:, a collaborative effort to improve the coverage of
966:
Social and political philosophy task force articles
873:But you have to first tell readers what quantities
233:
905:
885:
861:
829:
785:
741:
721:
701:
681:
577:
541:
471:This article has not yet received a rating on the
375:This article has not yet received a rating on the
8:
673:
660:
536:
523:
512:Descriptive theory, then normative. Correct?
89:
388:
290:
230:
117:
898:
878:
842:
798:
754:
734:
714:
694:
667:
649:
640:No Definitions Given For Terms Before Use
566:
554:
530:
521:
991:Unknown-importance game theory articles
830:{\displaystyle \lambda y+(1-\lambda )t}
786:{\displaystyle \lambda x+(1-\lambda )s}
390:
292:
119:
191:about philosophy content on Knowledge.
976:Unknown-importance Economics articles
66:A record of the entry may be seen at
7:
335:This article is within the scope of
175:This article is within the scope of
68:Knowledge:Recent additions/2004/July
108:It is of interest to the following
936:Low-importance Philosophy articles
862:{\displaystyle 0<\lambda <1}
14:
451:Knowledge:WikiProject Game theory
74:
986:Start-Class game theory articles
454:Template:WikiProject Game theory
410:
392:
322:
312:
294:
197:Knowledge:WikiProject Philosophy
162:
152:
121:
90:
19:
931:Start-Class Philosophy articles
926:Knowledge Did you know articles
355:Knowledge:WikiProject Economics
276:Social and political philosophy
217:This article has been rated as
200:Template:WikiProject Philosophy
981:WikiProject Economics articles
971:Start-Class Economics articles
821:
809:
777:
765:
676:
654:
632:13:53, 26 September 2009 (UTC)
572:
559:
549:each with a utility to you of
358:Template:WikiProject Economics
1:
946:Low-importance logic articles
682:{\displaystyle x(=\{x_{i}\})}
349:and see a list of open tasks.
330:Business and economics portal
56:is a valuable method used in
46:... that in the presence of
53:subjective expected utility
28:Subjective expected utility
1007:
941:Start-Class logic articles
504:14:17, 27 March 2008 (UTC)
377:project's importance scale
223:project's importance scale
951:Logic task force articles
614:13:22, 30 June 2008 (UTC)
542:{\displaystyle \{x_{i}\}}
470:
405:
374:
307:
274:
258:
229:
216:
147:
116:
578:{\displaystyle u(x_{i})}
417:This article is part of
30:appeared on Knowledge's
420:WikiProject Game theory
234:Associated task forces:
907:
887:
863:
831:
787:
743:
723:
703:
683:
579:
543:
271:
255:
178:WikiProject Philosophy
98:This article is rated
79:
908:
888:
864:
832:
788:
749:then you will prefer
744:
724:
704:
684:
580:
544:
427:. We need your help!
338:WikiProject Economics
270:
254:
77:
897:
877:
841:
797:
753:
733:
713:
693:
648:
553:
520:
457:game theory articles
138:Social and political
203:Philosophy articles
903:
883:
859:
827:
783:
739:
719:
699:
679:
575:
539:
361:Economics articles
272:
256:
188:general discussion
104:content assessment
80:
906:{\displaystyle t}
886:{\displaystyle s}
742:{\displaystyle t}
722:{\displaystyle s}
702:{\displaystyle y}
487:
486:
483:
482:
479:
478:
445:
387:
386:
383:
382:
289:
288:
285:
284:
281:
280:
170:Philosophy portal
84:
83:
998:
912:
910:
909:
904:
892:
890:
889:
884:
868:
866:
865:
860:
836:
834:
833:
828:
792:
790:
789:
784:
748:
746:
745:
740:
728:
726:
725:
720:
708:
706:
705:
700:
688:
686:
685:
680:
672:
671:
584:
582:
581:
576:
571:
570:
548:
546:
545:
540:
535:
534:
473:importance scale
459:
458:
455:
452:
449:
429:
414:
407:
406:
396:
389:
363:
362:
359:
356:
353:
332:
327:
326:
316:
309:
308:
298:
291:
241:
231:
205:
204:
201:
198:
195:
172:
167:
166:
165:
156:
149:
148:
143:
140:
125:
118:
101:
95:
94:
86:
76:
23:
16:
1006:
1005:
1001:
1000:
999:
997:
996:
995:
916:
915:
895:
894:
875:
874:
839:
838:
795:
794:
751:
750:
731:
730:
711:
710:
691:
690:
663:
646:
645:
642:
562:
551:
550:
526:
518:
517:
514:
492:
490:Savage Paradigm
456:
453:
450:
447:
446:
360:
357:
354:
351:
350:
328:
321:
239:
202:
199:
196:
193:
192:
168:
163:
161:
141:
131:
102:on Knowledge's
99:
61:decision theory
12:
11:
5:
1004:
1002:
994:
993:
988:
983:
978:
973:
968:
963:
958:
953:
948:
943:
938:
933:
928:
918:
917:
902:
882:
872:
858:
855:
852:
849:
846:
826:
823:
820:
817:
814:
811:
808:
805:
802:
782:
779:
776:
773:
770:
767:
764:
761:
758:
738:
718:
698:
678:
675:
670:
666:
662:
659:
656:
653:
641:
638:
637:
636:
635:
634:
574:
569:
565:
561:
558:
538:
533:
529:
525:
513:
510:
508:
491:
488:
485:
484:
481:
480:
477:
476:
469:
463:
462:
460:
435:Fix a red link
428:
415:
403:
402:
397:
385:
384:
381:
380:
373:
367:
366:
364:
347:the discussion
334:
333:
317:
305:
304:
299:
287:
286:
283:
282:
279:
278:
273:
263:
262:
257:
247:
246:
244:
242:
236:
235:
227:
226:
219:Low-importance
215:
209:
208:
206:
174:
173:
157:
145:
144:
142:Lowâimportance
126:
114:
113:
107:
96:
82:
81:
71:
65:
64:
24:
13:
10:
9:
6:
4:
3:
2:
1003:
992:
989:
987:
984:
982:
979:
977:
974:
972:
969:
967:
964:
962:
959:
957:
954:
952:
949:
947:
944:
942:
939:
937:
934:
932:
929:
927:
924:
923:
921:
914:
900:
880:
870:
856:
853:
850:
847:
844:
824:
818:
815:
812:
806:
803:
800:
780:
774:
771:
768:
762:
759:
756:
736:
716:
696:
668:
664:
657:
651:
639:
633:
629:
625:
624:202.36.179.66
620:
619:
618:
617:
616:
615:
611:
607:
603:
599:
595:
590:
586:
567:
563:
556:
531:
527:
511:
509:
506:
505:
501:
497:
489:
474:
468:
465:
464:
461:
444:
440:
436:
432:
426:
422:
421:
416:
413:
409:
408:
404:
401:
398:
395:
391:
378:
372:
369:
368:
365:
348:
344:
340:
339:
331:
325:
320:
318:
315:
311:
310:
306:
303:
300:
297:
293:
277:
269:
265:
264:
261:
253:
249:
248:
245:
243:
238:
237:
232:
228:
224:
220:
214:
211:
210:
207:
190:
189:
184:
180:
179:
171:
160:
158:
155:
151:
150:
146:
139:
135:
130:
127:
124:
120:
115:
111:
105:
97:
93:
88:
87:
72:
69:
62:
59:
55:
54:
49:
45:
42:
41:
39:
38:
33:
29:
25:
22:
18:
17:
913:are . . . .
871:
643:
601:
597:
593:
591:
587:
515:
507:
496:66.99.13.225
493:
418:
336:
218:
186:
176:
110:WikiProjects
51:
44:Did you know
43:
37:Did you know
35:
27:
26:A fact from
448:Game theory
439:Add content
425:Game theory
400:Game theory
100:Start-class
920:Categories
194:Philosophy
183:philosophy
129:Philosophy
606:Kronocide
352:Economics
343:Economics
302:Economics
78:Knowledge
32:Main Page
594:explains
443:Weigh in
58:economic
431:Join in
221:on the
34:in the
837:, for
598:should
106:scale.
602:first
260:Logic
134:Logic
893:and
854:<
848:<
709:and
628:talk
610:talk
500:talk
48:risk
869:."
793:to
729:to
689:to
467:???
371:???
213:Low
922::
851:λ
819:λ
816:â
801:λ
775:λ
772:â
757:λ
630:)
612:)
502:)
441:|
437:|
433:|
240:/
136:/
132::
50:,
901:t
881:s
857:1
845:0
825:t
822:)
813:1
810:(
807:+
804:y
781:s
778:)
769:1
766:(
763:+
760:x
737:t
717:s
697:y
677:)
674:}
669:i
665:x
661:{
658:=
655:(
652:x
626:(
608:(
573:)
568:i
564:x
560:(
557:u
537:}
532:i
528:x
524:{
498:(
475:.
379:.
225:.
112::
70:.
63:?
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
