{"id":18,"date":"2017-10-06T07:52:19","date_gmt":"2017-10-06T07:52:19","guid":{"rendered":"http:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/?page_id=18"},"modified":"2017-10-10T12:47:37","modified_gmt":"2017-10-10T12:47:37","slug":"usefull-programs","status":"publish","type":"page","link":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/?page_id=18","title":{"rendered":"Usefull Programs"},"content":{"rendered":"<p><span style=\"font-size: 12pt;\">This page contains a few programs about Game Theory, written by students of Frank Thuijsman.<\/span><br \/>\n<span style=\"font-size: 12pt;\"> These programs are able to solve various types of games.<\/span><\/p>\n<ol>\n<li><span style=\"font-size: 12pt;\">This\u00a0<a href=\"http:\/\/www.maxbuegler.eu\/downloads\/download.php?get=http:\/\/www.maxbuegler.eu\/wega\/wega0.2s.jar\">program<\/a>, written by\u00a0Max Buegler\u00a0(2009), can be used to calculate value and optimal strategies from matrix games as well as equilibria in bimatrix games by means of the Lemke-Howson algorithm. Fictitious play and regret matching are implemented as well. The program can also be used to calculate the Shapley value for cooperative games and, using input form\u00a0Robbert Harms, it is also possible to examine several types of solutions for bankruptcy problems.<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">This\u00a0<a href=\"http:\/\/xkls.nl\/downloads\/freeware\/talmud.jar\">program<\/a>, written by\u00a0Robbert Harms\u00a0(2009), can be used to calculate &#8220;contested-garment-consistent&#8221; solutions to solve bankruptcy problems by means of the method of communicating vessels. A short explanation of this issue can be found in my booklets: &#8220;Spelen en Delen&#8221; (look\u00a0<a href=\"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/programs.htm\">here<\/a>) and in the lecture notes &#8220;Introduction to Game Theory&#8221; (not yet published).<\/span><br \/>\n<span style=\"font-size: 12pt;\"> Relevant original publications on this topic are the following ones:<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 12pt;\">B. O&#8217;Neill (1982): &#8220;a problem of rights arbitration from the Talmud&#8221;, Mathematical Social Sciences 2, 345-371.<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">R.J. Aumann, M. Maschler (1985): \u201cgame theoretic analysis of a bankruptcy problem from the Talmud\u201d, Journal of Economic Theory 36, 195-213.<\/span><\/li>\n<li><span style=\"font-size: 12pt;\">M.M. Kaminski (2000): \u201chydraulic\u2019 rationing\u201d, Mathematical Social Sciences 40, 131-155.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>This page contains a few programs about Game Theory, written by students of Frank Thuijsman. These programs are able to solve various types of games. This\u00a0program, written by\u00a0Max Buegler\u00a0(2009), can be used to calculate value and optimal strategies from matrix games as well as equilibria in bimatrix games by means of the Lemke-Howson algorithm. Fictitious &hellip; <a href=\"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/?page_id=18\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Usefull Programs<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/pages\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=18"}],"version-history":[{"count":5,"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":87,"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=\/wp\/v2\/pages\/18\/revisions\/87"}],"wp:attachment":[{"href":"https:\/\/dke.maastrichtuniversity.nl\/f.thuijsman\/site\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}