diff --git a/package-lock.json b/package-lock.json
index bdf68bd..237ae81 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -15,8 +15,10 @@
         "bcrypt": "^6.0.0",
         "bcryptjs": "^3.0.3",
         "better-auth": "^1.5.6",
+        "glicko2": "^1.2.1",
         "jose": "^6.2.2",
         "next": "^16.2.1",
+        "openskill": "^4.1.1",
         "papaparse": "^5.5.3",
         "pg": "^8.20.0",
         "prisma": "^7.6.0",
@@ -2910,6 +2912,12 @@
       "devOptional": true,
       "license": "MIT"
     },
+    "node_modules/@types/gaussian": {
+      "version": "1.2.2",
+      "resolved": "https://registry.npmjs.org/@types/gaussian/-/gaussian-1.2.2.tgz",
+      "integrity": "sha512-FLlJb9oGcoq0xVaAmn5ytZWeEO4M7nfudewzqL6FxUUYLR5FB+hEzSYAsuhX7H7M6Mw/Z0rLbIVbQkMqHlRS7g==",
+      "license": "MIT"
+    },
     "node_modules/@types/json-schema": {
       "version": "7.0.15",
       "resolved": "https://registry.npmjs.org/@types/json-schema/-/json-schema-7.0.15.tgz",
@@ -2954,6 +2962,15 @@
         "pg-types": "^2.2.0"
       }
     },
+    "node_modules/@types/ramda": {
+      "version": "0.31.1",
+      "resolved": "https://registry.npmjs.org/@types/ramda/-/ramda-0.31.1.tgz",
+      "integrity": "sha512-Vt6sFXnuRpzaEj+yeutA0q3bcAsK7wdPuASIzR9LXqL4gJPyFw8im9qchlbp4ltuf3kDEIRmPJTD/Fkg60dn7g==",
+      "license": "MIT",
+      "dependencies": {
+        "types-ramda": "^0.31.0"
+      }
+    },
     "node_modules/@types/react": {
       "version": "19.2.14",
       "resolved": "https://registry.npmjs.org/@types/react/-/react-19.2.14.tgz",
@@ -5768,6 +5785,15 @@
         "url": "https://github.com/sponsors/ljharb"
       }
     },
+    "node_modules/gaussian": {
+      "version": "1.3.0",
+      "resolved": "https://registry.npmjs.org/gaussian/-/gaussian-1.3.0.tgz",
+      "integrity": "sha512-rYQ0ESfB+z0t7G95nHH80Zh7Pgg9A0FUYoZqV0yPec5WJZWKIHV2MPYpiJNy8oZAeVqyKwC10WXKSCnUQ5iDVg==",
+      "license": "MIT",
+      "engines": {
+        "node": ">= 0.6.0"
+      }
+    },
     "node_modules/generate-function": {
       "version": "2.3.1",
       "resolved": "https://registry.npmjs.org/generate-function/-/generate-function-2.3.1.tgz",
@@ -5890,6 +5916,12 @@
         "giget": "dist/cli.mjs"
       }
     },
+    "node_modules/glicko2": {
+      "version": "1.2.1",
+      "resolved": "https://registry.npmjs.org/glicko2/-/glicko2-1.2.1.tgz",
+      "integrity": "sha512-llKC0G0hRybX9fmDnx2u2tA9TZSg0OWM2q+AKApN4ofO8QTxFVESxvkLVulpo29fBd7yOBekgey2zkFOMMo6ng==",
+      "license": "MIT"
+    },
     "node_modules/glob-parent": {
       "version": "6.0.2",
       "resolved": "https://registry.npmjs.org/glob-parent/-/glob-parent-6.0.2.tgz",
@@ -7614,6 +7646,22 @@
       "integrity": "sha512-RdR9FQrFwNBNXAr4GixM8YaRZRJ5PUWbKYbE5eOsrwAjJW0q2REGcf79oYPsLyskQCZG1PLN+S/K1V00joZAoQ==",
       "license": "MIT"
     },
+    "node_modules/openskill": {
+      "version": "4.1.1",
+      "resolved": "https://registry.npmjs.org/openskill/-/openskill-4.1.1.tgz",
+      "integrity": "sha512-sVEeVr9oktZv7VRShjOLpZopn1Wdq5NxIVA33BZJKcJCdHAOEc+ZFBxYvkKSijiRJ8bTQTahkOhqcQxM5WloJw==",
+      "license": "MIT",
+      "dependencies": {
+        "@types/gaussian": "1.2.2",
+        "@types/ramda": "0.31.1",
+        "gaussian": "1.3.0",
+        "ramda": "0.32.0",
+        "sort-unwind": "3.1.0"
+      },
+      "engines": {
+        "node": ">=18.0.0"
+      }
+    },
     "node_modules/optionator": {
       "version": "0.9.4",
       "resolved": "https://registry.npmjs.org/optionator/-/optionator-0.9.4.tgz",
@@ -8161,6 +8209,16 @@
       ],
       "license": "MIT"
     },
+    "node_modules/ramda": {
+      "version": "0.32.0",
+      "resolved": "https://registry.npmjs.org/ramda/-/ramda-0.32.0.tgz",
+      "integrity": "sha512-GQWAHhxhxWBWA8oIBr1XahFVjQ9Fic6MK9ikijfd4TZHfE2+urfk+irVlR5VOn48uwMgM+loRRBJd6Yjsbc0zQ==",
+      "license": "MIT",
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/ramda"
+      }
+    },
     "node_modules/rc9": {
       "version": "2.1.2",
       "resolved": "https://registry.npmjs.org/rc9/-/rc9-2.1.2.tgz",
@@ -8739,6 +8797,15 @@
       "integrity": "sha512-bLGGlR1QxBcynn2d5YmDX4MGjlZvy2MRBDRNHLJ8VI6l6+9FUiyTFNJ0IveOSP0bcXgVDPRcfGqA0pjaqUpfVg==",
       "license": "MIT"
     },
+    "node_modules/sort-unwind": {
+      "version": "3.1.0",
+      "resolved": "https://registry.npmjs.org/sort-unwind/-/sort-unwind-3.1.0.tgz",
+      "integrity": "sha512-9NJPZtqwIHNXBqY3SWZrwd/VU+lFo2i1Q79cuaRpMMkZFuf+Y54XVAADyy/w6r8t409KkNwo6cKaEKM56XaSNQ==",
+      "license": "MIT",
+      "engines": {
+        "node": ">=18.0.0"
+      }
+    },
     "node_modules/source-map-js": {
       "version": "1.2.1",
       "resolved": "https://registry.npmjs.org/source-map-js/-/source-map-js-1.2.1.tgz",
@@ -9116,6 +9183,12 @@
         "typescript": ">=4.8.4"
       }
     },
+    "node_modules/ts-toolbelt": {
+      "version": "9.6.0",
+      "resolved": "https://registry.npmjs.org/ts-toolbelt/-/ts-toolbelt-9.6.0.tgz",
+      "integrity": "sha512-nsZd8ZeNUzukXPlJmTBwUAuABDe/9qtVDelJeT/qW0ow3ZS3BsQJtNkan1802aM9Uf68/Y8ljw86Hu0h5IUW3w==",
+      "license": "Apache-2.0"
+    },
     "node_modules/tsconfig-paths": {
       "version": "3.15.0",
       "resolved": "https://registry.npmjs.org/tsconfig-paths/-/tsconfig-paths-3.15.0.tgz",
@@ -9226,6 +9299,15 @@
         "url": "https://github.com/sponsors/ljharb"
       }
     },
+    "node_modules/types-ramda": {
+      "version": "0.31.0",
+      "resolved": "https://registry.npmjs.org/types-ramda/-/types-ramda-0.31.0.tgz",
+      "integrity": "sha512-vaoC35CRC3xvL8Z6HkshDbi6KWM1ezK0LHN0YyxXWUn9HKzBNg/T3xSGlJZjCYspnOD3jE7bcizsp0bUXZDxnQ==",
+      "license": "MIT",
+      "dependencies": {
+        "ts-toolbelt": "^9.6.0"
+      }
+    },
     "node_modules/typescript": {
       "version": "5.9.3",
       "resolved": "https://registry.npmjs.org/typescript/-/typescript-5.9.3.tgz",
diff --git a/package.json b/package.json
index b704908..841345d 100644
--- a/package.json
+++ b/package.json
@@ -28,8 +28,10 @@
     "bcrypt": "^6.0.0",
     "bcryptjs": "^3.0.3",
     "better-auth": "^1.5.6",
+    "glicko2": "^1.2.1",
     "jose": "^6.2.2",
     "next": "^16.2.1",
+    "openskill": "^4.1.1",
     "papaparse": "^5.5.3",
     "pg": "^8.20.0",
     "prisma": "^7.6.0",