{"id":3148,"date":"2011-01-06T19:01:22","date_gmt":"2011-01-06T19:01:22","guid":{"rendered":"http:\/\/blog.widmann.org.uk\/?p=3148"},"modified":"2026-04-10T13:08:01","modified_gmt":"2026-04-10T11:08:01","slug":"de-bedste-grunde-i-matador","status":"publish","type":"post","link":"https:\/\/widmanniana.org\/blog\/de-bedste-grunde-i-matador\/","title":{"rendered":"De bedste grunde i Matador"},"content":{"rendered":"<div style=\"float: right; margin-left: 10px; margin-bottom: 10px;\">\n<a href=\"http:\/\/www.flickr.com\/photos\/kapten\/2428140911\/\" title=\"photo sharing\"><img decoding=\"async\" src=\"http:\/\/farm3.static.flickr.com\/2258\/2428140911_6613bcfe80_m.jpg\" alt=\"\" style=\"border: solid 2px #000000;\" \/><\/a><br \/>\n<span style=\"font-size: 0.9em; margin-top: 0px;\"><br \/>\n<a href=\"http:\/\/www.flickr.com\/photos\/kapten\/2428140911\/\">Matador<\/a><br \/>\nOriginally uploaded by <a href=\"http:\/\/www.flickr.com\/people\/kapten\/\">Bj\u00f6rn S\u00f6derqvist<\/a><br \/>\n<\/span>\n<\/div>\n<p>Sammen med min gode ven <a href=\"http:\/\/home.imf.au.dk\/sik\/\">Simon<\/a> diskuterede jeg for otte \u00e5r siden sandsynlighederne for at lande p\u00e5 de forskellige grunde i Matador.  S\u00e5 vidt jeg husker, gjorde Simon mig opm\u00e6rksom p\u00e5, at hvis man kan beregne sandsynligheden for at lande p\u00e5 felt <i>y<\/i>, n\u00e5r man st\u00e5r p\u00e5 felt <i>x<\/i>, har man en <a href=\"http:\/\/da.wikipedia.org\/wiki\/Markov-k%C3%A6de\">Markov-k\u00e6de<\/a>, og det er simpel line\u00e6r algebra at regne ud, hvor ofte hvert felt bes\u00f8ges.<\/p>\n<p>Jeg skrev fluks et program til at g\u00f8re det for mig (det mest besv\u00e6rlige var at h\u00e5ndtere de forskellige <i>Pr\u00f8v Lykken<\/i>-kort, s\u00e5som &#8220;Flyt tre felter tilbage&#8221;).<\/p>\n<p>De r\u00e5 sandsynligheder har jeg placeret i bunden af dette indl\u00e6g, da de ikke er synderligt ophisende.<\/p>\n<p>Hvad man virkelig \u00f8nsker at vide, er naturligvis, hvilke grunde, man skal k\u00f8be, hvis man f\u00e5r muligheden.<\/p>\n<p>Dette er ret vanskeligt at regne ud, da det naturligvis er op til de enkelte spillere, hvor hurtigt de bygger huse og hoteller.<\/p>\n<p>Jeg har derfor lavet en graf, der for hver grund viser de relevante udgifter (pris for hhv. sk\u00f8det, f\u00f8rste hus, og opgradering til hotel) og sandsynlige indt\u00e6gter (f\u00f8rst indt\u00e6gter i begyndelsen, hvor man kun ejer enkelte grunde, dern\u00e6st indt\u00e6gter i mellemfasen, hvor man typisk har et enkelt hus, og til sidst indt\u00e6gter i slutfasen, hvor der er hoteller overalt).  Klik p\u00e5 grafen for at se den i fuld st\u00f8rrelse:<\/p>\n<p><a href=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1-300x107.png\" alt=\"\" width=\"300\" height=\"107\" class=\"alignright size-medium wp-image-13702\" srcset=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1-300x107.png 300w, https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1-1024x364.png 1024w, https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1-768x273.png 768w, https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1-1536x547.png 1536w, https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador1.png 1647w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a\n\n\n\n<p>Det er ikke uden grund, at R\u00e5dhuspladsen er berygtet blandt Matador-spillere!<\/p>\n<p><a href=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador2.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador2-300x166.png\" alt=\"\" width=\"300\" height=\"166\" class=\"alignright size-medium wp-image-13704\" srcset=\"https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador2-300x166.png 300w, https:\/\/widmanniana.org\/blog\/wp-content\/uploads\/2011\/01\/matador2.png 682w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Men man kan jo ikke bygge p\u00e5 enkelte grunde uafh\u00e6ngigt at de andre i farvegruppen, s\u00e5 denne analyse er m\u00e5ske ikke s\u00e5 interessant endda.<\/p>\n<p>Jeg har derfor lagt v\u00e6rdierne i ovenst\u00e5ende graf sammen for hver gruppe, og resultatet kan ses til venstre.<\/p>\n<p>Lidt overraskende er de gr\u00e5 grunde den bedste investering, fulgt af de berygtede lilla.  Interessant nok kan det slet ikke betale sig at investere i de bl\u00e5 grunde &ndash; de er simpelthen for dyre at k\u00f8be og bebygge i forhold til indt\u00e6gtsmulighederne.<\/p>\n<p>Til slut er her som lovet sandsynlighederne for at lande p\u00e5 de forskellige felter i Matador:<\/p>\n<table>\n<tr>\n<th>Nr.<\/th>\n<th>Navn<\/th>\n<th>Sandsynlighed<\/th>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>Start<\/td>\n<td>2.6%<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>R\u00f8dovrevej<\/td>\n<td>2.2%<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>1.5%<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>Hvidovrevej<\/td>\n<td>2.3%<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>Indkomstskat<\/td>\n<td>2.3%<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>Helsing\u00f8r-Helsingborg<\/td>\n<td>3.0%<\/td>\n<\/tr>\n<tr>\n<td>7<\/td>\n<td>Roskildevej<\/td>\n<td>2.3%<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>1.6%<\/td>\n<\/tr>\n<tr>\n<td>9<\/td>\n<td>Valby Langgade<\/td>\n<td>2.3%<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>All\u00e9gade<\/td>\n<td>2.2%<\/td>\n<\/tr>\n<tr>\n<td>11<\/td>\n<td>F\u00e6ngsel<\/td>\n<td>6.0%<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>Fredriksberg All\u00e9<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>13<\/td>\n<td>Tuborg<\/td>\n<td>2.4%<\/td>\n<\/tr>\n<tr>\n<td>14<\/td>\n<td>B\u00fclowsvej<\/td>\n<td>2.4%<\/td>\n<\/tr>\n<tr>\n<td>15<\/td>\n<td>Gl Kongevej<\/td>\n<td>2.6%<\/td>\n<\/tr>\n<tr>\n<td>16<\/td>\n<td>Mols-Linien<\/td>\n<td>2.8%<\/td>\n<\/tr>\n<tr>\n<td>17<\/td>\n<td>Bernstorffsvej<\/td>\n<td>2.8%<\/td>\n<\/tr>\n<tr>\n<td>18<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>2.0%<\/td>\n<\/tr>\n<tr>\n<td>19<\/td>\n<td>Hellerupvej<\/td>\n<td>2.9%<\/td>\n<\/tr>\n<tr>\n<td>20<\/td>\n<td>Strandvejen<\/td>\n<td>3.0%<\/td>\n<\/tr>\n<tr>\n<td>21<\/td>\n<td>Parkering<\/td>\n<td>2.8%<\/td>\n<\/tr>\n<tr>\n<td>22<\/td>\n<td>Trianglen<\/td>\n<td>2.8%<\/td>\n<\/tr>\n<tr>\n<td>23<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>1.9%<\/td>\n<\/tr>\n<tr>\n<td>24<\/td>\n<td>\u00d8sterbrogade<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>25<\/td>\n<td>Gr\u00f8nningen<\/td>\n<td>3.1%<\/td>\n<\/tr>\n<tr>\n<td>26<\/td>\n<td>Gedser-Rostock<\/td>\n<td>3.0%<\/td>\n<\/tr>\n<tr>\n<td>27<\/td>\n<td>Bredgade<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>28<\/td>\n<td>Kgs Nytorv<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>29<\/td>\n<td>Coca-Cola<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>30<\/td>\n<td>\u00d8stergade<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>31<\/td>\n<td>De F\u00e6ngsles<\/td>\n<td>0.0%<\/td>\n<\/tr>\n<tr>\n<td>32<\/td>\n<td>Amagertorv<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>33<\/td>\n<td>Vimmelskaftet<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<tr>\n<td>34<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>1.8%<\/td>\n<\/tr>\n<tr>\n<td>35<\/td>\n<td>Nygade<\/td>\n<td>2.5%<\/td>\n<\/tr>\n<tr>\n<td>36<\/td>\n<td>R\u00f8dby-Puttgarden<\/td>\n<td>2.6%<\/td>\n<\/tr>\n<tr>\n<td>37<\/td>\n<td>Pr\u00f8v Lykken<\/td>\n<td>1.6%<\/td>\n<\/tr>\n<tr>\n<td>38<\/td>\n<td>Frederiksberggade<\/td>\n<td>2.2%<\/td>\n<\/tr>\n<tr>\n<td>39<\/td>\n<td>Statsskat<\/td>\n<td>2.2%<\/td>\n<\/tr>\n<tr>\n<td>40<\/td>\n<td>R\u00e5dhuspladsen<\/td>\n<td>2.7%<\/td>\n<\/tr>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Matador Originally uploaded by Bj\u00f6rn S\u00f6derqvist Sammen med min gode ven Simon diskuterede jeg for otte \u00e5r siden sandsynlighederne for at lande p\u00e5 de forskellige grunde i Matador. S\u00e5 vidt jeg husker, gjorde Simon mig opm\u00e6rksom p\u00e5, at hvis man kan beregne sandsynligheden for at lande p\u00e5 felt y, n\u00e5r man st\u00e5r p\u00e5 felt x, har man en Markov-k\u00e6de, og det er simpel line\u00e6r algebra at regne ud, hvor ofte hvert felt bes\u00f8ges. Jeg skrev fluks et program til at g\u00f8re det for mig (det mest besv\u00e6rlige [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[157,108,114],"tags":[],"class_list":["post-3148","post","type-post","status-publish","format-standard","hentry","category-da","category-games","category-computing"],"_links":{"self":[{"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/posts\/3148","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/comments?post=3148"}],"version-history":[{"count":2,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/posts\/3148\/revisions"}],"predecessor-version":[{"id":13705,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/posts\/3148\/revisions\/13705"}],"wp:attachment":[{"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/media?parent=3148"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/categories?post=3148"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/widmanniana.org\/blog\/wp-json\/wp\/v2\/tags?post=3148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}