{"id":5780,"date":"2023-10-11T14:06:47","date_gmt":"2023-10-11T05:06:47","guid":{"rendered":"urn:uuid:7620ee22-fa99-44ab-9737-1e67a19a0d90"},"modified":"2023-10-12T09:38:49","modified_gmt":"2023-10-12T00:38:49","slug":"%e7%b5%8c%e6%b8%88%e5%ad%a6%e7%a7%91%e3%83%bb%e6%a0%97%e5%8e%9f%e5%b4%87%e8%ac%9b%e5%b8%ab%e3%81%ae%e5%8d%98%e8%91%97%e8%ab%96%e6%96%87%e3%81%8c%e3%80%8ejournal-of-mathematical-psychology%e3%80%8f","status":"publish","type":"post","link":"https:\/\/www.u-tokai.ac.jp\/ud-political-science-and-economics\/news\/5780\/","title":{"rendered":"\u7d4c\u6e08\u5b66\u79d1\u30fb\u6817\u539f\u5d07\u8b1b\u5e2b\u306e\u5358\u8457\u8ad6\u6587\u304c\u300eJournal of Mathematical Psychology\u300f\u306b\u63b2\u8f09\u3055\u308c\u307e\u3057\u305f"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p>\u653f\u6cbb\u7d4c\u6e08\u5b66\u90e8\u7d4c\u6e08\u5b66\u79d1\u306e<a href=\"https:\/\/www.u-tokai.ac.jp\/facultyguide\/faculty\/6331\/\">\u6817\u539f\u5d07\u8b1b\u5e2b<\/a>\u304c\u57f7\u7b46\u3057\u305f\u5358\u8457\u8ad6\u6587\u300cSufficient conditions making lexicographic rules over the power set satisfy extensibility\u300d\u304c\u5fc3\u7406\u5b66\u7cfb\u306e\u6570\u5b66\u5c02\u9580\u96d1\u8a8c\u3067\u3042\u308b\u300eJournal of Mathematical Psychology\u300f\u306b\u63b2\u8f09\u3055\u308c\u307e\u3057\u305f\u3002\u30aa\u30fc\u30d7\u30f3\u30a2\u30af\u30bb\u30b9\u3068\u306a\u3063\u3066\u304a\u308a\u3001\u672c\u6587\u6700\u5f8c\u306e\u30ea\u30f3\u30af\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u53ef\u80fd\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5185\u5bb9\u306b\u3064\u3044\u3066\u7c21\u5358\u306b\u3054\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u65e5\u5e38\u751f\u6d3b\u306e\u4e2d\u3067\u3001\u8907\u6570\u306e\u9078\u629e\u80a2\u3092\u540c\u6642\u306b\u9078\u629e\u3059\u308b\u5834\u9762\u3068\u3044\u3046\u306e\u306f\u6848\u5916\u591a\u3044\u3082\u306e\u3067\u3059\uff08\u4f8b\uff1a\u30b9\u30de\u30fc\u30c8\u30db\u30f3\u306b\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u30a2\u30d7\u30ea\uff09\u3002\u307e\u305f\u30011\u3064\u3092\u9078\u629e\u3057\u305f\u3068\u3057\u3066\u3082\u3001\u8907\u6570\u306e\u3082\u306e\u3092\u9078\u629e\u3057\u305f\u3068\u89e3\u91c8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff08\u4f8b\uff1a\u30b5\u30f3\u30c9\u30a4\u30c3\u30c1\u306e\u5177\u6750\uff09\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u8907\u6570\u306e\u9078\u629e\u80a2\u306e\u96c6\u307e\u308a\u3001\u3059\u306a\u308f\u3061\u300c\u96c6\u5408\u300d\u3092\u9078\u629e\u3059\u308b\u5834\u5408\u3001\u96c6\u5408\u540c\u58eb\u306e\u597d\u307f\u306e\u9806\u5e8f\uff08\u9078\u597d\u9806\u5e8f\uff09\u304c\u5fc5\u8981\u3068\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u96c6\u5408\u306e\u6570\u306f\u975e\u5e38\u306b\u591a\u304f\u3001\u9078\u597d\u9806\u5e8f\u3092\u8003\u3048\u308b\u306e\u306f\u3068\u3066\u3082\u5927\u5909\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u9078\u629e\u80a2\u304c\uff14\u500b\u306a\u3089\u96c6\u5408\u306f16\u500b\u4f5c\u308c\u307e\u3059\u304c\u3001\u3068\u308a\u5f97\u308b\u96c6\u5408\u306e\u9078\u597d\u9806\u5e8f\u306e\u6570\u306f5,000\u5146\u3092\u8d85\u3048\u3001\u305d\u306e\u4e2d\u306b\u306f4\u500b\u306e\u9078\u629e\u80a2\u306e\u9078\u597d\u9806\u5e8f\u306b\u5bfe\u3057\u3066\u4e0d\u81ea\u7136\u306a\u3082\u306e\u304c\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002\u672c\u7814\u7a76\u306f\u3001\u300c\u3042\u308b\u500b\u4eba\u306e\u9078\u629e\u80a2\u306e\u9078\u597d\u9806\u5e8f\u304c\u5206\u304b\u3063\u3066\u3044\u308b\u969b\u306b\u3001\u305d\u306e\u500b\u4eba\u306b\u3068\u3063\u3066\u3082\u3063\u3068\u3082\u3089\u3057\u3044\u96c6\u5408\u306e\u9078\u597d\u9806\u5e8f\u3092\u5c0e\u51fa\u3059\u308b\u65b9\u6cd5\u300d\u3092\u6271\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u9078\u597d\u9806\u5e8f\u306e\u60c5\u5831\u306e\u307f\u3092\u7528\u3044\u308b\u5834\u5408\u306b\u306f\u3001\u300c\u8f9e\u66f8\u5f0f\u300d\u9806\u5e8f\u3092\u7528\u3044\u308b\u65b9\u6cd5\u304c\u4e3b\u6d41\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u30012\u3064\u306e\u96c6\u5408A={\u6797\u6a8e\uff0c\u871c\u67d1\uff0c\u6843}\u3068B={\u68a8\uff0c\u8461\u8404}\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u305f\u3060\u3057\u3001\u4e2d\u306b\u542b\u307e\u308c\u308b\u9078\u629e\u80a2\u306f\u597d\u307e\u3057\u3044\u9806\u306b\u4e26\u3079\u3089\u308c\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u8f9e\u66f8\u5f0f\u9806\u5e8f\u3067\u306f\u3001\u4e0a\u4f4d\u304b\u3089\u9806\u306b\u300c\u6797\u6a8e\u3068\u68a8\u300d\u3001\u300c\u871c\u67d1\u3068\u8461\u8404\u300d\u306e\u3088\u3046\u306bA\u3068B\u306e\u4e2d\u8eab\u3092\u6bd4\u8f03\u3057\u3066\u3044\u304d\u3001\u3069\u3053\u304b\u3067\u9806\u5e8f\u304c\u4ed8\u3044\u305f\u3089\u3001\u305d\u308c\u3092A\u3068B\u306e\u9806\u5e8f\u3068\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u300c\u6797\u6a8e\u3068\u68a8\u304c\u540c\u7a0b\u5ea6\u597d\u307e\u3057\u304f\uff08\u7121\u5dee\u5225\uff09\u300d\u3001\u300c\u8461\u8404\u306f\u871c\u67d1\u3088\u308a\u3082\u597d\u307e\u3057\u3044\u300d\u306a\u3089\u3070\u3001\u300cB\u306fA\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u9806\u5e8f\u4ed8\u3051\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3068\u3053\u308d\u304c\u3001\u4e3b\u306b2\u3064\u554f\u984c\u70b9\u304c\u3042\u308a\u307e\u3059\u3002\u7b2c1\u306b\u3001\u6797\u6a8e\u3068\u68a8\u304c\u7121\u5dee\u5225\u3067\u871c\u67d1\u3068\u8461\u8404\u3082\u7121\u5dee\u5225\u306a\u5834\u5408\u3001A\u306e\u6843\u3068\u6bd4\u3079\u308b\u3082\u306e\u304cB\u306b\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3055\u3089\u306b\u3001\u73fe\u6642\u70b9\u3067\u306f5\u3064\u306e\u679c\u7269\uff08\u6797\u6a8e\uff0c\u871c\u67d1\uff0c\u6843\uff0c\u68a8\uff0c\u8461\u8404\uff09\u306e\u9078\u597d\u9806\u5e8f\u3057\u304b\u60c5\u5831\u3092\u6301\u3063\u3066\u304a\u3089\u305a\u3001\u6843\u306e\u597d\u304d\u5acc\u3044\u306b\u3064\u3044\u3066\u306f\u60c5\u5831\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u7b2c2\u306b\u3001\u300c\u6797\u6a8e\u304c\u68a8\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u5834\u5408\u306f\u300cA\u304cB\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u306a\u308a\u307e\u3059\u304c\u3001\u3082\u3057\u300c\u6797\u6a8e\u306f\u307e\u3042\u307e\u3042\u597d\u304d\u300d\u306a\u7a0b\u5ea6\u3067\u3042\u308a\u3001\u300c\u6843\u304c\u3068\u3066\u3082\u5acc\u3044\u300d\u306a\u5834\u5408\u3001\u300cA\u304cB\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u3044\u3046\u7d50\u8ad6\u306b\u306f\u7d0d\u5f97\u3067\u304d\u306a\u3044\u304b\u3082\u77e5\u308c\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u3053\u306e2\u3064\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u3079\u304fFishburn (1992) \u306b\u3088\u308a\u63d0\u5531\u3055\u308c\u305f\u306e\u304c\u300c\u9078\u3070\u306a\u3044\u3053\u3068\u3092\u9078\u3076\u300d\u3068\u3044\u3046\u9078\u629e\u80a2\u3092\u53ef\u8996\u5316\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u4fbf\u5b9c\u4e0a\u3001\u300c\u9078\u629e\u80a2a\u3092\u9078\u3070\u306a\u3044\u3068\u3044\u3046\u9078\u629e\u300d\u3092n(a)\u3068\u8868\u73fe\u3057\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u6797\u6a8e\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u306fn(\u6797\u6a8e)\u3068\u66f8\u304d\u307e\u3059\u3002\u3053\u306e\u65b9\u6cd5\u3092\u7528\u3044\u308b\u3068\u3001\u300c\u6797\u6a8e\u304c\u597d\u304d\u3067\u3042\u308b\u300d\u3092\u300c\u6797\u6a8e\u306fn(\u6797\u6a8e)\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u305d\u308c\u305e\u308c\u306e\u9078\u629e\u80a2\u306e\u300c\u597d\u304d\u5acc\u3044\u300d\u3092\u8868\u73fe\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001A\u3068B\u306f\u305f\u3068\u3048\u3070A={\u6797\u6a8e\uff0c\u871c\u67d1\uff0cn(\u8461\u8404)\uff0cn(\u68a8)\uff0c\u6843}\u3068B={n(\u6843)\uff0c\u68a8\uff0c\u8461\u8404\uff0cn(\u871c\u67d1)\uff0cn(\u6797\u6a8e)}\u306e\u3088\u3046\u306b\u66f8\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u3002\u305d\u3046\u3059\u308b\u3068\u3001\u9078\u3093\u3060\u679c\u7269\u3082\u9078\u3070\u306a\u304b\u3063\u305f\u679c\u7269\u3082\u5168\u3066\u8868\u8a18\u3055\u308c\u308b\u305f\u3081\u3001\u9014\u4e2d\u3067\u6bd4\u3079\u308b\u3082\u306e\u304c\u306a\u304f\u306a\u308b\u5fc3\u914d\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3055\u3089\u306b\u3001\u300cn(\u6843)\u304c\u6797\u6a8e\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u8868\u73fe\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u300c\uff08\u3068\u3066\u3082\u5acc\u3044\u306a\uff09\u6843\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u306e\u65b9\u304c\uff08\u307e\u3042\u307e\u3042\u597d\u304d\u306a\uff09\u6797\u6a8e\u3092\u9078\u3076\u3053\u3068\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3053\u3068\u3092\u53cd\u6620\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3059\u308b\u3068\u3001\u8f9e\u66f8\u5f0f\u306b\u6bd4\u3079\u3066\u3082\u300cB\u306fA\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u3044\u3046\u7d50\u8ad6\u306b\u8fbf\u308a\u3064\u304f\u53ef\u80fd\u6027\u304c\u3067\u3066\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ed6\u65b9\u3067\u3001\u6797\u6a8e\uff0c\u871c\u67d1\uff0c\u6843\uff0c\u68a8\uff0c\u8461\u8404\uff0cn(\u6797\u6a8e)\uff0cn(\u871c\u67d1)\uff0cn(\u6843)\uff0cn(\u68a8)\uff0cn(\u8461\u8404)\u306e\u9078\u597d\u9806\u5e8f\u306f\u4f55\u3067\u3082\u8a31\u3055\u308c\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u305f\u3068\u3048\u3070\u3001\u300c\u6797\u6a8e\u306f\u871c\u67d1\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u306e\u306b\u300cn(\u6797\u6a8e)\u306fn(\u871c\u67d1)\u3088\u308a\u597d\u307e\u3057\u3044\uff08\u21d4\u6797\u6a8e\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u306f\u871c\u67d1\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u3088\u308a\u597d\u307e\u3057\u3044\uff09\u300d\u3068\u3044\u3046\u306e\u306f\u3042\u308a\u5f97\u308b\u3067\u3057\u3087\u3046\u304b\u3002\u3053\u3046\u3044\u3063\u305f\u4e0d\u81ea\u7136\u306a\u9078\u597d\u9806\u5e8f\u3092\u9664\u304f\u305f\u3081\u3001Fishburn (1992)\u306f\u30011\uff09\u300ca\u306fb\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u306a\u3089\u3001\u307e\u305f\u305d\u306e\u3068\u304d\u306b\u9650\u308a\u300cn(b)\u306fn(a)\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u30012\uff09\u300ca\u306fn(b)\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u306a\u3089\u3001\u307e\u305f\u305d\u306e\u3068\u304d\u306b\u9650\u308a\u300cb\u306fn(a)\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u30013\uff09\u300cn(a)\u306fb\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u306a\u3089\u3001\u307e\u305f\u305d\u306e\u6642\u306b\u9650\u308a\u300cn(b)\u306fa\u3088\u308a\u540c\u7a0b\u5ea6\u4ee5\u4e0a\u671b\u307e\u3057\u3044\u300d\u3053\u3068\u3092\u9078\u597d\u9806\u5e8f\u3078\u306e\u5236\u7d04\u3068\u3057\u3066\u8ab2\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3068\u3053\u308d\u304c\u3001\u4e0a\u8a18\u306e\u5236\u7d04\u3092\u7528\u3044\u308b\u3068\u300c\u6797\u6a8e\u306f\u871c\u67d1\u3088\u308a\u597d\u307e\u3057\u3044\u300d\u3068\u304d\u306b\u300c\u6797\u6a8e\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u3068\u3001\u871c\u67d1\u3092\u9078\u3070\u306a\u3044\u3053\u3068\u306f\u7121\u5dee\u5225\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u610f\u898b\u3092\u6301\u3064\u3053\u3068\u304c\u7981\u6b62\u3055\u308c\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001Fishburn (1992)\u306b\u63d0\u5531\u3055\u308c\u305f\u9078\u629e\u80a2\u306e\u9078\u597d\u9806\u5e8f\u306e\u307f\u4eca\u65e5\u307e\u3067\u4f7f\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u4ed6\u306e\u53ef\u80fd\u6027\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u305f\u7814\u7a76\u304c\u3042\u308a\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u672c\u7814\u7a76\u3067\u306f\u3001\u300c\u9078\u629e\u80a2\u306e\u9078\u597d\u9806\u5e8f\u306f\u3001\u96c6\u5408\u306e\u9078\u597d\u9806\u5e8f\u3092\u5c0e\u51fa\u3059\u308b\u3046\u3048\u3067\u4e0d\u81ea\u7136\u3068\u306a\u3089\u306a\u3044\u7a0b\u5ea6\u306b\u3001\u81ea\u7531\u306b\u6c7a\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3079\u304d\u3067\u3042\u308b\u300d\u3068\u3044\u3046\u8003\u3048\u306e\u3082\u3068\u3001\u96c6\u5408\u306e\u8f9e\u66f8\u5f0f\u9078\u597d\u9806\u5e8f\u3092\u60f3\u5b9a\u3057\u305f\u5834\u5408\u306b\u3001\u9078\u629e\u80a2\u306e\u9078\u597d\u9806\u5e8f\u306b\u5bfe\u3059\u308bFishburn (1992)\u306e\u5236\u7d04\u3092\u3069\u3053\u307e\u3067\u7de9\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u304b\u6311\u6226\u3057\u305f\u5185\u5bb9\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u53c2\u8003\u6587\u732e\uff1aFishburn, P. (1992). Signed orders and power set extensions. <em>Journal of Economic Theory<\/em>, 56, 1\u201319. <\/p>\n\n\n\n<p>\u30ea\u30f3\u30af\uff1a<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022249623000366\">https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022249623000366<\/a><\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022249623000366\" target=\"_blank\" rel=\"noreferrer noopener\">\u8ad6\u6587\u306e\u8a73\u7d30\u306f\u3053\u3061\u3089\u304b\u3089<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u653f\u6cbb\u7d4c\u6e08\u5b66\u90e8\u7d4c\u6e08\u5b66\u79d1\u306e\u6817\u539f\u5d07\u8b1b\u5e2b\u304c\u57f7\u7b46\u3057\u305f\u5358\u8457\u8ad6\u6587\u300cSufficient conditions making lexicographic rules over the power set satisfy extensib [&hellip;]<\/p>\n","protected":false},"author":258,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ep_exclude_from_search":false,"assignees":[],"_attachment_show_hide":true,"_tokai_univ_thumbnail":5783,"_tokai_univ_thumbnail_url":"https:\/\/www.u-tokai.ac.jp\/uploads\/sites\/10\/2023\/10\/0a6a2fd8f3cd3ce4be1ea40fee734e01.pdf","_network_post_url":"","footnotes":"","tokai_univ_priority":0},"categories":[1],"tags":[],"class_list":["post-5780","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - 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