{"id":1415,"date":"2014-11-25T00:00:49","date_gmt":"2014-11-24T22:00:49","guid":{"rendered":"http:\/\/fabsk.eu\/blog\/?p=1415"},"modified":"2015-07-11T13:54:26","modified_gmt":"2015-07-11T11:54:26","slug":"liar-game-the-records-of-the-four-kingdoms-game-strategy","status":"publish","type":"post","link":"https:\/\/fabsk.eu\/blog\/2014\/11\/25\/liar-game-the-records-of-the-four-kingdoms-game-strategy\/","title":{"rendered":"Liar Game: The Records of the Four Kingdoms Game strategy"},"content":{"rendered":"<p><span style=\"text-decoration: underline;\"><strong>Spoiler<\/strong><\/span>: This article reveals parts of the story of Liar Game<\/p>\n<p><!--more--><\/p>\n<h1>Rules<\/h1>\n<p>The last game of Liar Game oppose 4 kingdoms. The rules are simple:<\/p>\n<ul>\n<li>There is only one winner.<\/li>\n<li>Each team starts the game with 100 life points.<\/li>\n<li>Each round, a kingdom can choose to attack between 0 and 3 opponents and defend against 0 to 3 opponents, for a maximum number of 3 actions per round.<\/li>\n<li>Each action costs 1 life point<\/li>\n<li>Not defending against an attack costs 3 life points.<\/li>\n<\/ul>\n<h1>One on one<\/h1>\n<p>At first, I thought that the game could be considered as 3 parallel one on one battles (spoiler: I was wrong).<\/p>\n<p>In a one on one battle, a round can be considered as two simultaneous sub-battle with one attacker and one defender. According to the actions, from the point of view of the attacker (spoiler: wrong again), the score difference will be:<\/p>\n<ul>\n<li>no attack, no defence: +0 points<\/li>\n<li>attack, no defence: +3 -1 = +2 points<\/li>\n<li>no attack, defence: +1 points<\/li>\n<li>attack, defence: -1 +1 = 0 points<\/li>\n<\/ul>\n<p>Let say that the attacker will attack A% of the time (randomly), and the defender will defend D% (randomly). I consider random actions because it makes in practice impossible to predict a pattern. Then the score difference will be:<\/p>\n<p>(1-A)*D + 2*A*(1-D) = 2*A + D &#8211; 3*A*D<\/p>\n<p>I realized that there is a strategy for both attacker and defender that minimises the point loss (2\/3 point for each round), whatever is the strategy of the opponent<\/p>\n<ul>\n<li>for the attacker, attack 1\/3 of the time<\/li>\n<li>for the defender, defend 2\/3 of the time<\/li>\n<\/ul>\n<p>If the opponent can detect another frequency, then he will adapt his own frequency to get a greater gain (which can be countered by another frequency; the winner will be the one which will be the faster to detect and to adapt itself).<\/p>\n<h1>4-way battle<\/h1>\n<p>It turned out that I was partially wrong. I forgot about several things:<\/p>\n<ul>\n<li>A kingdom can only do 3 actions for a given round (so you cannot defend at 66%, attack at 33% and attack even more if you detect a defence pattern).<\/li>\n<li>In a 4-way battle, when a kingdom can land a successful attack, two other kingdoms get the benefits of the attack, but only the attacker is losing an action point! If you manage to land a successful attack on each opponent, you will lose 3 points and each opponent will also lose 3 points (and it&rsquo;s the best scenario!). So one way to see the goal of the game is to try to minimize the point loss (doing nothing is a good start), and the best interest for a kingdom is not attacking at all and let the other attack his opponents.<\/li>\n<li>If two kingdoms team up, they will save 1 defence point (and 1 attack point) for each round because of their mutual trust. So making alliances (and betraying) is maybe the centre of the game.<\/li>\n<\/ul>\n<p>A friend suggested me that a good strategy may be to propose an alliance, create a advantage compared to the other twos\u2026 and betray the ally before he does, and try to keep the 3-points advantage of a successful attack (because the kingdom having the largest number of points at any time is the most likely to win, thanks to the 2\/3 defence strategy).<\/p>\n<p>I think that it is an interesting game. Even if the game is balanced at the beginning, at some point it will not be anymore, and the team with a lower number of points should team up against the one(s) with the greater number.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Spoiler: This article reveals parts of the story of Liar Game<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1415","post","type-post","status-publish","format-standard","hentry","category-non-classe","\"lang=\"en"],"_links":{"self":[{"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/posts\/1415","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/comments?post=1415"}],"version-history":[{"count":10,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/posts\/1415\/revisions"}],"predecessor-version":[{"id":1429,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/posts\/1415\/revisions\/1429"}],"wp:attachment":[{"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/media?parent=1415"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/categories?post=1415"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fabsk.eu\/blog\/wp-json\/wp\/v2\/tags?post=1415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}