{"id":430,"date":"2012-01-10T19:50:16","date_gmt":"2012-01-10T11:50:16","guid":{"rendered":"http:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/?p=430"},"modified":"2024-02-16T21:13:34","modified_gmt":"2024-02-16T13:13:34","slug":"two-games-called-meta","status":"publish","type":"post","link":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/2012\/01\/two-games-called-meta\/","title":{"rendered":"Two Games Called Meta"},"content":{"rendered":"<p>The past few days, my kids have been arguing about what game to play after school. The younger one wants to play <a href=\"http:\/\/www.amazon.com\/mn\/search\/?_encoding=UTF8&amp;x=0&amp;tag=dmmgfk-20&amp;linkCode=ur2&amp;y=0&amp;camp=1789&amp;creative=390957&amp;field-keywords=junior%20monopoly&amp;url=search-alias%3Daps\" target=\"_blank\" rel=\"noopener\">Junior<\/a> <a href=\"http:\/\/www.dr-mikes-math-games-for-kids.com\/junior-monopoly-review.html\" target=\"_blank\" rel=\"noopener\">Monopoly<\/a> but the older one thinks that&#8217;s too boring. The elder one wanted to play <a href=\"http:\/\/www.amazon.com\/mn\/search\/?_encoding=UTF8&amp;x=0&amp;tag=dmmgfk-20&amp;linkCode=ur2&amp;y=0&amp;camp=1789&amp;creative=390957&amp;field-keywords=blokus&amp;url=search-alias%3Daps\" target=\"_blank\" rel=\"noopener\">Blokus<\/a>, but the younger one said that was too difficult.<\/p>\n<p><!--more-->My wife suggested <a href=\"http:\/\/www.amazon.com\/mn\/search\/?_encoding=UTF8&amp;x=0&amp;tag=dmmgfk-20&amp;linkCode=ur2&amp;y=0&amp;camp=1789&amp;creative=390957&amp;field-keywords=pictionary&amp;url=search-alias%3Daps\" target=\"_blank\" rel=\"noopener\">Pictionary<\/a> as a compromise, but they didn&#8217;t like that idea either. So I suggested a game called Meta.<\/p>\n<p>The rules of Meta are quite simple &#8211; each player writes, on a piece of paper, a game they&#8217;d like to play. The pieces of paper are put in a hat. Then, one is drawn at random, and the named game is played.\u00a0My elder son thought this was a great idea, so he proceeded set up a game of Meta. He got a hat and some scraps of paper, and started to ask everyone what game they wanted to play.<\/p>\n<p>When he asked me, I didn&#8217;t really have a preference. After some thought, I chose &#8220;Meta&#8221;, which he dutifully wrote down. Of course, writing &#8220;Meta&#8221; came with the risk that the game would take longer, but that&#8217;s ok. I like Meta.<\/p>\n<p>Unfortunately, when the name of the game was chosen, it was &#8220;Junior Monopoly&#8221;. At this point, my elder son quit in disgust, which is quite against the rules. I suppose we won&#8217;t be playing Meta again for a long time.<\/p>\n<p>Perhaps it&#8217;s just as well. After all, if we all grew to love Meta, we might always all write &#8220;Meta&#8221; every time. Then we&#8217;d be forced to cut the game short at bedtime, and never find out who won.<\/p>\n<p>This reminds me of a quite different game, also called Meta, for two players. The rules of this other Meta are simple.<\/p>\n<ul>\n<li>The first player calls out the name of a game. The game must be a game that&#8217;s guaranteed to end. (After all, nobody wants to play the same game forever.)<\/li>\n<li>Then, the players play the named game, the second Meta player playing as the first player.<\/li>\n<\/ul>\n<p>So, if the first player called out &#8220;Chess&#8221;, they would play chess, with the second player playing white. If the first player called out &#8220;tic-tac-toe&#8221;, the second player would place the first mark on an empty tic-tac-toe board. If the first player called out &#8220;Monopoly&#8221;, well, that&#8217;s cheating &#8211; Monopoly is not guaranteed to ever finish. The second player would win instantly.<\/p>\n<p>There&#8217;s one thing I&#8217;m not so sure about though &#8211; can the first player call out &#8220;Meta&#8221;? Is a game of Meta guaranteed always to eventually finish?<\/p>\n<p>You would think so. After all, you really only play one move of Meta, and then you&#8217;re playing <a href=\"http:\/\/www.amazon.com\/mn\/search\/?_encoding=UTF8&amp;x=0&amp;tag=dmmgfk-20&amp;linkCode=ur2&amp;y=0&amp;camp=1789&amp;creative=390957&amp;field-keywords=boggle&amp;url=search-alias%3Daps\" target=\"_blank\" rel=\"noopener\">Boggle<\/a> or Ten Pin Bowling or something that <em>must<\/em> eventually end. On the other hand, if this is so then the first player might call out &#8220;Meta&#8221;, and then the second player might do the same, and so on <em>ad infinitum<\/em>. The game might never end. However that means the first call of &#8220;Meta&#8221; was against the rules, and the infinite regress can&#8217;t happen, making the first call a legal move after all, leading to the possibility that a game of Meta might never end.<\/p>\n<p>Please do think carefully about this, and let me know below if you think it&#8217;s safe for me to call out &#8220;Meta&#8221; next time I&#8217;m lucky enough to be playing Meta as the first player. I&#8217;d love to know what you think!<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The past few days, my kids have been arguing about what game to play after school. The younger one wants to play Junior Monopoly but the older one thinks that&#8217;s too boring. The elder one wanted to play Blokus, but the younger one said that was too difficult.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[319,316,320,315,317,318],"_links":{"self":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/430"}],"collection":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/comments?post=430"}],"version-history":[{"count":1,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/430\/revisions"}],"predecessor-version":[{"id":1360,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/posts\/430\/revisions\/1360"}],"wp:attachment":[{"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/media?parent=430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/categories?post=430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dr-mikes-math-games-for-kids.com\/blog\/wp-json\/wp\/v2\/tags?post=430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}