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Swap regret

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270: 202: 52: 311: 197:{\displaystyle {\mbox{swap-regret}}=\sum _{i=1}^{n}\max _{j\leq n}{\frac {1}{T}}\sum _{t=1}^{T}x_{i}^{t}\cdot (p_{j}^{t}-p_{i}^{t}).} 340: 335: 304: 297: 27: 220: 330: 269: 207:
Intuitively, it is how much a player could improve by switching each occurrence of decision
253: 249: 281: 324: 237: 277: 23: 233: 219:. The swap regret is always nonnegative. Swap regret is useful for computing 216: 285: 57: 55: 196: 88: 305: 8: 312: 298: 182: 177: 164: 159: 143: 138: 128: 117: 103: 91: 81: 70: 56: 54: 7: 266: 264: 242:Journal of Machine Learning Research 238:"From external to internal regret" 14: 268: 46:is defined to be the following: 188: 152: 1: 26:. It is a generalization of 284:. You can help Knowledge by 357: 263: 236:; Mansour, Yishay (2007), 341:Economic theories stubs 198: 133: 86: 16:Concept of game theory 221:correlated equilibria 211:to the best decision 199: 113: 66: 336:Microeconomics stubs 53: 187: 169: 148: 194: 173: 155: 134: 102: 61: 22:is a concept from 293: 292: 111: 87: 60: 348: 314: 307: 300: 272: 265: 256: 203: 201: 200: 195: 186: 181: 168: 163: 147: 142: 132: 127: 112: 104: 101: 85: 80: 62: 58: 34:-decision game. 356: 355: 351: 350: 349: 347: 346: 345: 321: 320: 319: 318: 261: 232: 229: 51: 50: 40: 30:in a repeated, 17: 12: 11: 5: 354: 352: 344: 343: 338: 333: 323: 322: 317: 316: 309: 302: 294: 291: 290: 273: 259: 258: 228: 225: 205: 204: 193: 190: 185: 180: 176: 172: 167: 162: 158: 154: 151: 146: 141: 137: 131: 126: 123: 120: 116: 110: 107: 100: 97: 94: 90: 84: 79: 76: 73: 69: 65: 39: 36: 15: 13: 10: 9: 6: 4: 3: 2: 353: 342: 339: 337: 334: 332: 329: 328: 326: 315: 310: 308: 303: 301: 296: 295: 289: 287: 283: 280:article is a 279: 274: 271: 267: 262: 255: 251: 248:: 1307–1324, 247: 243: 239: 235: 231: 230: 226: 224: 222: 218: 214: 210: 191: 183: 178: 174: 170: 165: 160: 156: 149: 144: 139: 135: 129: 124: 121: 118: 114: 108: 105: 98: 95: 92: 82: 77: 74: 71: 67: 63: 49: 48: 47: 45: 37: 35: 33: 29: 25: 21: 286:expanding it 275: 260: 245: 241: 215:possible in 212: 208: 206: 43: 41: 31: 19: 18: 331:Game theory 278:game theory 234:Blum, Avrim 59:swap-regret 44:swap-regret 42:A player's 24:game theory 20:Swap regret 325:Categories 227:References 38:Definition 217:hindsight 171:− 150:⋅ 115:∑ 96:≤ 68:∑ 254:2332433 252:  28:regret 276:This 282:stub 89:max 327:: 250:MR 244:, 240:, 223:. 313:e 306:t 299:v 288:. 257:. 246:8 213:j 209:i 192:. 189:) 184:t 179:i 175:p 166:t 161:j 157:p 153:( 145:t 140:i 136:x 130:T 125:1 122:= 119:t 109:T 106:1 99:n 93:j 83:n 78:1 75:= 72:i 64:= 32:n

Index

game theory
regret
hindsight
correlated equilibria
Blum, Avrim
"From external to internal regret"
MR
2332433
Stub icon
game theory
stub
expanding it
v
t
e
Categories
Game theory
Microeconomics stubs
Economic theories stubs

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