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I}OPMy___PPT10Y+D=' = @B +6!0 ] U 0 (     v0r0e0e ?Titel 1`    Allgemein    # Ե0e0e ?*Inhaltsplatzhalter 2",&PK!Zf[Content_Types].xmlMO &2WR=cJ`F0iK`#̼vLw 9uSq:w`G ^i ½KI)c/ $oVjTMRc|}042ҥCƔM̏P~*ka/8^DkHbL8e i"K\XN\6rco4y@_;oPK!1_a _rels/.relsj0 ѽqCNo^K [ILcX&m߾0XFo;>0xM e`|X}đ I`߽N4aG2$RKIZ)4(M9`ctB{m:f@`3n|O,ܗr޾jxR0T ,0@}WBLǬ5vPK!]drs/shapexml.xmlWn6;YIڴ g-QjHʍ}gIqHrCz7?o>֊mur&unJdGΜhtnk6_{Le-;H Yil-qԸ-}]۹^{e^ Uԝ]#K|~uvFN"rh!vG 1b5wHHSn!SΦVŚǟs{dيQ͸ +VD͒(6҆F&'&'BU{ WIUYXcJzd N(R !qFUE`aJ q}-Y2@\"MzGtx#" rF4@2c9~AH#;Lur':FpGJ(iISDC0x"~jF/:jyAj91Md9q\{ {4Ar`%nt/Jτ^y'9 %qv{ԓADH|TOy7a"#?9'Qr͆?oHPK!rdrs/downrev.xmlDJ1FڌKZ.,ɝ ILBsr=Z#CX4A\9q|,@8& ^]_-1n !Gm}.eZ'N]Řo8$5resibOۖ*؆s}XR7 D1L3/ @ԯOH^ArKPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!]*drs/shapexml.xmlPK-!rdrs/downrev.xmlPK  kDa bei der Umformung eines groen Spielbaums in extensiver Form in eine Normalform eine sehr groe Tabelle entsteht, wird hier versucht eine allgemeine Vorgehensweise vorzustellen, um allgemein Spielbume in eine Normalform umzuwandeln. Der Vorteil, der hierin liegt, ist, dass nun mittels eines PC die Berechnungen automatisiert werden knnen, um auch bei groen Spielbumen in vertretbarer Zeit zufriedenstellende Ergebnisse zu erzielen. Desweiteren wird dargelegt, wie ein Spielbaum zu verndern ist, um eine reduzierte Normalform letztendlich zu erhalten, was ein Vorteil im Hinblick auf die Tabellen-Gre liefert.lPl H  0޽h ? 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S'ǟ6:"li9p~% c+2~rșP.*o9TAR+矮m6_;LEMnԦ&< #P`4T)>C(]6 vaXUdgj^I:HrO F|!76eD_QaOY2L  B:]f C5e|<'ߌ&W6TEU!S~vM>QaDD|l'13z3cg'TQ7eX[$dt5DM 68CB]9>nR|oih}3@!p1Kh܃mUPf %g(i<$`=.[C ..kROErrhl/rǶӾŭ(mqu#t1nvIjyWp$w()GoLE\{#g&wqo?4u[HnmW ٴuU?B\+vJ9[e4i3J2Y* gahpa?$=+BV~F2Ee*N BxG+}_IPMX- ~ wH쾕(KvRZ&azxQ ""gܦ{j"n>O/'? d(יkل^T^ԩAE&1bz*pg`;`FPq<5r-j._X6]ti{|=ҳGIړE0ɣ':L$}y!B 2Ǔ_W3~%u?@f/PK!drs/downrev.xmlDMo0DE8(Rۜpƛ6^GK¿š=fFoM'.|kYl .nVp:>.AL a[a>CM}&/2觶']ev8DSݢiPK-!Zf[Content_Types].xmlPK-!1_a /_rels/.relsPK-!u*drs/shapexml.xmlPK-!drs/downrev.xmlPK  Da in unserem Fall nur 2 Mannschaften gegeneinander antreten, existieren auch nur 2 Spieler. Also gehren alle Strategien in den ungeraden Ebenen unseres Spielbaums zu Spieler 1, und alle geraden Ebenen zu Spieler 2. Das Prinzip liegt in der Gruppierung von Strategien in separat zu betrachtenden Ebenen unter Bercksichtigung der Strategien der Spieler zuvor und Verkettung dieser Gruppierungen nach einem bestimmten Prinzip. ZH  0޽h ? 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P Die Payoffs IDie Payoffs sind fiktiv, es liegen Erfahrungswerte zugrunde (d.h. es gibt keine Nutzenfunktion, sondern nur festgelegte Payoffs bei bestimmten Wurfbedingungen. ,m"Die Payoffs II(10,x) entspricht 100% Wahrscheinlichkeit eines Tores (x,10) entspricht 100 % Wahrscheinlichkeit keines Tores (9,1) bei 7 Meter (8,2) bei freiem Wurf mit einer Sperre (7,3) bei einem freien Wurf (6,4) bei einem Freiwurf (5,5) im Zweikampf mit einem passiven (d.h. Aktion  spielen ) Gegner (4,6) im Zweikampf mit zwei passiven (d.h. 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P Die Payoffs IDie Payoffs sind fiktiv, es liegen Erfahrungswerte zugrunde (d.h. es gibt keine Nutzenfunktion, sondern nur festgelegte Payoffs bei bestimmten Wurfbedingungen. ,m"Die Payoffs II(10,x) entspricht 100% Wahrscheinlichkeit eines Tores (x,10) entspricht 100 % Wahrscheinlichkeit keines Tores (9,1) bei 7 Meter (8,2) bei freiem Wurf mit einer Sperre (7,3) bei einem freien Wurf (6,4) bei einem Freiwurf (5,5) im Zweikampf mit einem passiven (d.h. Aktion  spielen ) Gegner (4,6) im Zweikampf mit zwei passiven (d.h. Aktion  spielen ) Gegnern (3,7) im Zweikampf mit einem aktiven Gegner (2,8) im Zweikampf mit zwei aktiven Gegnern (0,10) Angriff Ende ohne Abschlu P Der Spielzug  Der Spielbaum I Der Spielbaum II  Der Spielbaum III MarkusExtensive Form - formal "Die Mengen und Payoffs  Peter   %$ Ergebnis    Maria&! Dominanzen ~Die dominanten Strategien lassen sich mit Hilfe der Auszahlungsfunktion bestimmen. Man vergleicht die Strategien ebenenweise.'" Dominanzen In dem Basisspiel gibt es 9 Dominanzen fr die angreifende Mannschaft. Fr die abwehrende Mannschaft sind die gegenteiligen Strategien die Dominanzen (6)(# Dominanzen Es gilt fr Die angreifende Mannschaft sollte versuchen den Spielzug durchzufhren Die abwehrende Mannschaft sollte den Spielaufbau versuchen zu verhindern. 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P Die Payoffs IDie Payoffs sind fiktiv, es liegen Erfahrungswerte zugrunde (d.h. es gibt keine Nutzenfunktion, sondern nur festgelegte Payoffs bei bestimmten Wurfbedingungen. ,m"Die Payoffs II(10,x) entspricht 100% Wahrscheinlichkeit eines Tores (x,10) entspricht 100 % Wahrscheinlichkeit keines Tores (9,1) bei 7 Meter (8,2) bei freiem Wurf mit einer Sperre (7,3) bei einem freien Wurf (6,4) bei einem Freiwurf (5,5) im Zweikampf mit einem passiven (d.h. Aktion  spielen ) Gegner (4,6) im Zweikampf mit zwei passiven (d.h. Aktion  spielen ) Gegnern (3,7) im Zweikampf mit einem aktiven Gegner (2,8) im Zweikampf mit zwei aktiven Gegnern (0,10) Angriff Ende ohne Abschlu P Der Spielzug  Der Spielbaum I Der Spielbaum II  Der Spielbaum III MarkusExtensive Form - formal "Die Mengen und Payoffs  Peter   %$ Ergebnis    Maria&! Dominanzen ~Die dominanten Strategien lassen sich mit Hilfe der Auszahlungsfunktion bestimmen. Man vergleicht die Strategien ebenenweise.'" 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P Die Payoffs IDie Payoffs sind fiktiv, es liegen Erfahrungswerte zugrunde (d.h. es gibt keine Nutzenfunktion, sondern nur festgelegte Payoffs bei bestimmten Wurfbedingungen. ,m"Die Payoffs II(10,x) entspricht 100% Wahrscheinlichkeit eines Tores (x,10) entspricht 100 % Wahrscheinlichkeit keines Tores (9,1) bei 7 Meter (8,2) bei freiem Wurf mit einer Sperre (7,3) bei einem freien Wurf (6,4) bei einem Freiwurf (5,5) im Zweikampf mit einem passiven (d.h. Aktion  spielen ) Gegner (4,6) im Zweikampf mit zwei passiven (d.h. Aktion  spielen ) Gegnern (3,7) im Zweikampf mit einem aktiven Gegner (2,8) im Zweikampf mit zwei aktiven Gegnern (0,10) Angriff Ende ohne Abschlu P Der Spielzug  Der Spielbaum I Der Spielbaum II  Der Spielbaum III Extensive Form - formal "Die Mengen und Payoffs    %$ Ergebnis   &! Dominanzen ~Die dominanten Strategien lassen sich mit Hilfe der Auszahlungsfunktion bestimmen. Man vergleicht die Strategien ebenenweise.'" 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