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Stone–Geary utility function

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409: 97: 297: 247: 211: 191: 459: 151: 479: 432: 305: 171: 120: 501: 493: 654: 26: 617:
Stone, Richard (1954). "Linear Expenditure Systems and Demand Analysis: An Application to the Pattern of British Demand".
689: 543: 708: 259: 590: 561: 219: 535: 529: 677: 525: 196: 176: 437: 129: 665: 404:{\displaystyle q_{i}=\gamma _{i}+{\frac {\beta _{i}}{p_{i}}}(y-\sum _{j}\gamma _{j}p_{j})} 8: 256:
The Stone–Geary utility function gives rise to the Linear Expenditure System. In case of
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Klein, L. R.; Rubin, H. (1947–1948). "A Constant-Utility Index of the Cost of Living".
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Geary, Roy C. (1950). "A Note on 'A Constant-Utility Index of the Cost of Living'".
619: 250: 650: 489: 702: 497: 485: 632: 603: 574: 521: 123: 684:(Third ed.). Boston: Irwin McGraw-Hill. pp. 357–363. 92:{\displaystyle U=\prod _{i}(q_{i}-\gamma _{i})^{\beta _{i}}} 484:
The Stone–Geary utility function was first derived by
249:, the Stone–Geary function reduces to the generalised 467: 440: 420: 308: 262: 222: 199: 179: 159: 132: 108: 29: 682:
The Structure of Economics: A Mathematical Analysis
473: 453: 426: 403: 291: 241: 205: 185: 165: 145: 114: 91: 700: 655:"R.C. Geary's Contributions to Economic Theory" 587: 675: 534:(Third ed.). New York: Norton. pp.  678:"Empirical Estimation and Functional Forms" 662:R.C. Geary, 1893–1983: Irish Statistician 664:. Dublin: Oak Tree Press. Archived from 676:Silberberg, Eugene; Suen, Wing (2001). 701: 520: 649: 616: 558: 292:{\displaystyle \sum _{i}\beta _{i}=1} 13: 643: 488:, in a comment on earlier work by 14: 720: 610: 581: 552: 514: 500:was the first to estimate the 398: 359: 73: 46: 1: 526:"Estimating consumer demands" 507: 242:{\displaystyle \gamma _{i}=0} 18:Stone–Geary utility function 7: 299:the demand function equals 10: 725: 591:Review of Economic Studies 562:Review of Economic Studies 434:is total expenditure, and 660:. In Conniffe, D. (ed.). 206:{\displaystyle \gamma } 153:is consumption of good 709:Utility function types 531:Microeconomic Analysis 475: 455: 428: 405: 293: 243: 207: 187: 186:{\displaystyle \beta } 167: 147: 116: 93: 476: 461:is the price of good 456: 454:{\displaystyle p_{i}} 429: 406: 294: 244: 208: 188: 168: 148: 146:{\displaystyle q_{i}} 117: 94: 465: 438: 418: 306: 260: 220: 197: 177: 157: 130: 106: 27: 502:Linear Expenditure 471: 451: 424: 401: 377: 289: 272: 239: 203: 183: 163: 143: 112: 89: 45: 474:{\displaystyle i} 427:{\displaystyle y} 368: 357: 263: 166:{\displaystyle i} 115:{\displaystyle U} 36: 716: 695: 672: 670: 659: 637: 636: 627:(255): 511–527. 620:Economic Journal 614: 608: 607: 585: 579: 578: 556: 550: 549: 518: 480: 478: 477: 472: 460: 458: 457: 452: 450: 449: 433: 431: 430: 425: 410: 408: 407: 402: 397: 396: 387: 386: 376: 358: 356: 355: 346: 345: 336: 331: 330: 318: 317: 298: 296: 295: 290: 282: 281: 271: 248: 246: 245: 240: 232: 231: 213:are parameters. 212: 210: 209: 204: 192: 190: 189: 184: 172: 170: 169: 164: 152: 150: 149: 144: 142: 141: 121: 119: 118: 113: 98: 96: 95: 90: 88: 87: 86: 85: 71: 70: 58: 57: 44: 724: 723: 719: 718: 717: 715: 714: 713: 699: 698: 692: 668: 657: 651:Neary, J. Peter 646: 644:Further reading 641: 640: 615: 611: 586: 582: 557: 553: 546: 519: 515: 510: 466: 463: 462: 445: 441: 439: 436: 435: 419: 416: 415: 392: 388: 382: 378: 372: 351: 347: 341: 337: 335: 326: 322: 313: 309: 307: 304: 303: 277: 273: 267: 261: 258: 257: 227: 223: 221: 218: 217: 198: 195: 194: 178: 175: 174: 158: 155: 154: 137: 133: 131: 128: 127: 107: 104: 103: 81: 77: 76: 72: 66: 62: 53: 49: 40: 28: 25: 24: 20:takes the form 12: 11: 5: 722: 712: 711: 697: 696: 690: 673: 671:on 2005-03-25. 645: 642: 639: 638: 609: 580: 551: 544: 512: 511: 509: 506: 490:Lawrence Klein 470: 448: 444: 423: 412: 411: 400: 395: 391: 385: 381: 375: 371: 367: 364: 361: 354: 350: 344: 340: 334: 329: 325: 321: 316: 312: 288: 285: 280: 276: 270: 266: 238: 235: 230: 226: 202: 182: 162: 140: 136: 111: 100: 99: 84: 80: 75: 69: 65: 61: 56: 52: 48: 43: 39: 35: 32: 9: 6: 4: 3: 2: 721: 710: 707: 706: 704: 693: 691:0-07-234352-4 687: 683: 679: 674: 667: 663: 656: 652: 648: 647: 634: 630: 626: 622: 621: 613: 605: 601: 597: 593: 592: 584: 576: 572: 568: 564: 563: 555: 547: 545:0-393-95735-7 541: 537: 533: 532: 527: 523: 517: 513: 505: 503: 499: 498:Richard Stone 495: 491: 487: 482: 468: 446: 442: 421: 393: 389: 383: 379: 373: 369: 365: 362: 352: 348: 342: 338: 332: 327: 323: 319: 314: 310: 302: 301: 300: 286: 283: 278: 274: 268: 264: 254: 252: 236: 233: 228: 224: 214: 200: 180: 160: 138: 134: 125: 109: 82: 78: 67: 63: 59: 54: 50: 41: 37: 33: 30: 23: 22: 21: 19: 681: 666:the original 661: 624: 618: 612: 598:(2): 84–87. 595: 589: 583: 569:(2): 65–66. 566: 560: 554: 530: 516: 494:Herman Rubin 486:Roy C. Geary 483: 413: 255: 251:Cobb–Douglas 215: 101: 17: 15: 522:Varian, Hal 508:References 253:function. 380:γ 370:∑ 366:− 339:β 324:γ 275:β 265:∑ 225:γ 201:γ 181:β 79:β 64:γ 60:− 38:∏ 703:Category 653:(1997). 524:(1992). 504:System. 633:2227743 604:2295996 575:2296107 124:utility 688:  631:  602:  573:  542:  414:where 173:, and 102:where 669:(PDF) 658:(PDF) 629:JSTOR 600:JSTOR 571:JSTOR 686:ISBN 540:ISBN 492:and 216:For 193:and 16:The 536:212 122:is 705:: 680:. 625:64 623:. 596:15 594:. 567:18 565:. 538:. 528:. 496:. 481:. 126:, 694:. 635:. 606:. 577:. 548:. 469:i 447:i 443:p 422:y 399:) 394:j 390:p 384:j 374:j 363:y 360:( 353:i 349:p 343:i 333:+ 328:i 320:= 315:i 311:q 287:1 284:= 279:i 269:i 237:0 234:= 229:i 161:i 139:i 135:q 110:U 83:i 74:) 68:i 55:i 51:q 47:( 42:i 34:= 31:U

Index

utility
Cobb–Douglas
Roy C. Geary
Lawrence Klein
Herman Rubin
Richard Stone
Linear Expenditure
Varian, Hal
"Estimating consumer demands"
Microeconomic Analysis
212
ISBN
0-393-95735-7
Review of Economic Studies
JSTOR
2296107
Review of Economic Studies
JSTOR
2295996
Economic Journal
JSTOR
2227743
Neary, J. Peter
"R.C. Geary's Contributions to Economic Theory"
the original
"Empirical Estimation and Functional Forms"
ISBN
0-07-234352-4
Category
Utility function types

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