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Search and matching theory (economics)

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60: 1308:, then to calculate the change in employment from one period to the next we must add the formation of new matches and subtract off the separation of old matches. A period may be treated as a week, a month, a quarter, or some other convenient period of time, depending on the data under consideration. (For simplicity, we are ignoring the entry of new workers into the labor force, and the death or retirement of old workers, but these issues can be accounted for as well.) Suppose we write the number of workers employed in period 819: 831: 1247:. However, whereas a production function usually represents the production of goods and services from inputs like labor and capital, a matching function represents the formation of new relationships from the pools of available unmatched individuals. Estimates of the labor market matching function suggest that it has 905:
outcome when one or more types of searchers interact. It offers a way of modeling markets in which frictions prevent instantaneous adjustments of the level of economic activity. Among other applications, it has been used as a framework for studying
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as a fixed constant. But the fraction of workers separating per period of time can be determined endogenously if we assume that the value of being matched varies over time for each worker-firm pair (due, for example, to changes in
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Economic Prize Committee of the Royal Swedish Academy of Sciences, 'The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 2010'
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A matching function is a mathematical relationship that describes the formation of new relationships (also called 'matches') from unmatched
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is a mathematical framework attempting to describe the formation of mutually beneficial relationships over time. It is closely related to
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of the appropriate types. For example, in the context of job formation, matching functions are sometimes assumed to have the following '
1446: 893:, where it has been used to describe the formation of new jobs. Search and matching theory evolved from an earlier framework called ' 1602:, but some economists have recently questioned its quantitative accuracy. While unemployment exhibits large fluctuations over the 395: 171: 1683: 950: 854: 1933: 532: 380: 1755:
Mortensen, Dale; Pissarides, Christopher (1994). "Job creation and job destruction in the theory of unemployment".
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has demonstrated that standard versions of matching models predict much smaller fluctuations in unemployment.
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Matching theory has been widely accepted as one of the best available descriptions of the frictions in the
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firms are trying to fill. The number of new relationships (matches) created (per unit of time) is given by
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If the fraction of jobs that separate (due to firing, quits, and so forth) from one period to the next is
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represents the number of unemployed job seekers in the economy at a given time
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decision of an individual searcher, search and matching theory studies the
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Formation of jobs, from unemployed workers and vacancies opened by firms
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Matching theory has been applied in many economic contexts, including:
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The role of money in facilitating sales when sellers and buyers meet
921:. A textbook treatment of the matching approach to labor markets is 2422: 1051:{\displaystyle m_{t}\;=\;M(u_{t},v_{t})\;=\;\mu u_{t}^{a}v_{t}^{b}} 1534:{\displaystyle n_{t+1}\;=\mu u_{t}^{a}v_{t}^{b}+(1-\delta )n_{t}} 1712:"Looking into the black box: a survey of the matching function" 937:
for 'fundamental contributions to search and matching theory'.
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Search and matching theory has been especially influential in
1846:(1993). "A search-theoretic approach to monetary economics". 422: 198: 1911: 1797:"Liquidity flows and the fragility of business enterprises" 1710:
Petrongolo, Barbara; Pissarides, Christopher (2001).
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One of the founders of search and matching theory is
1709: 1754: 1558: 1533: 1432: 1406: 1377: 1322: 1300: 1275: 1232: 1199: 1170: 1148: 1119: 1097: 1075: 1050: 3030:Mathematical and quantitative methods (economics) 1243:A matching function is in general analogous to a 3011: 1791: 1586:Allocation of loans from banks to entrepreneurs 1838: 1927: 855: 1934: 1920: 1673: 1466: 1127:are positive constants. In this equation, 1014: 1010: 977: 973: 929:. Mortensen and Pissarides, together with 862: 848: 1891: 1555: 1551: 1429: 1425: 1403: 1392: 1374: 1337: 1319: 1315: 1297: 1293: 1229: 1218: 1196: 1185: 1167: 1163: 1145: 1134: 1116: 1112: 1094: 1090: 1072: 1068: 940: 1669: 1667: 14: 3012: 1874: 1750: 1748: 172:Measures of national income and output 1915: 1795:; Ramey, Garey; Watson, Joel (2003). 1378:{\displaystyle \,n_{t}=L_{t}-u_{t}\,} 1664: 1745: 1544:For simplicity, many studies treat 897:'. Where search theory studies the 27:Mathematical framework in economics 24: 25: 3041: 2457:neoclassical–Keynesian synthesis 1674:Pissarides, Christopher (2000). 829: 817: 58: 18:Matching theory (macroeconomics) 1676:Equilibrium Unemployment Theory 1574: 927:Equilibrium Unemployment Theory 34:approach in applied statistics. 1868: 1832: 1785: 1719:Journal of Economic Literature 1703: 1692: 1593: 1518: 1506: 1007: 981: 777:Publications in macroeconomics 13: 1: 2393:Critique of political economy 1941: 1818:10.1016/S0304-3932(03)00077-1 1805:Journal of Monetary Economics 1657: 1276:{\displaystyle a+b\approx 1} 30:Not to be confused with the 7: 1678:(2nd ed.). MIT Press. 1613: 1559:{\displaystyle \,\delta \,} 1301:{\displaystyle \,\delta \,} 10: 3046: 2531:Real business-cycle theory 1758:Review of Economic Studies 880:search and matching theory 528:New neoclassical synthesis 511:Real business-cycle theory 29: 2971: 2929: 2571: 2305: 2054: 2019: 1949: 1407:{\displaystyle \,L_{t}\,} 1249:constant returns to scale 1233:{\displaystyle \,m_{t}\,} 1200:{\displaystyle \,v_{t}\,} 1149:{\displaystyle \,u_{t}\,} 923:Christopher A. Pissarides 1902:10.1257/0002828053828572 1880:American Economic Review 1849:American Economic Review 1076:{\displaystyle \,\mu \,} 935:Nobel Prize in Economics 933:, were awarded the 2010 533:Saltwater and freshwater 2171:Industrial organization 2001:Computational economics 1646:Matching (graph theory) 919:Northwestern University 908:frictional unemployment 461:International economics 386:Overlapping generations 3025:Microeconomic theories 2376:Modern monetary theory 2041:Experimental economics 2011:Pluralism in economics 1996:Mathematical economics 1560: 1535: 1434: 1408: 1379: 1324: 1302: 1277: 1234: 1201: 1172: 1150: 1121: 1099: 1077: 1052: 884:stable matching theory 804:Mathematical economics 555:Modern monetary theory 318:Universal basic income 1561: 1536: 1435: 1433:{\displaystyle \,t\,} 1409: 1380: 1325: 1323:{\displaystyle \,t\,} 1303: 1278: 1235: 1202: 1173: 1171:{\displaystyle \,t\,} 1151: 1122: 1120:{\displaystyle \,b\,} 1100: 1098:{\displaystyle \,a\,} 1078: 1053: 941:The matching function 644:Wesley Clair Mitchell 619:Thomas Robert Malthus 456:Development economics 2250:Social choice theory 2006:Behavioral economics 1731:10.1257/jel.39.2.390 1641:Nash bargaining game 1548: 1447: 1422: 1389: 1334: 1312: 1290: 1255: 1215: 1182: 1160: 1131: 1109: 1087: 1065: 960: 381:Ramsey–Cass–Koopmans 221:Liquidity preference 2334:American (National) 2034:Economic statistics 1502: 1487: 1245:production function 1047: 1032: 836:Business portal 772:Macroeconomic model 649:John Maynard Keynes 446:Economic statistics 391:General equilibrium 1840:Kiyotaki, Nobuhiro 1636:Monetary economics 1556: 1531: 1488: 1473: 1430: 1404: 1375: 1320: 1298: 1273: 1230: 1197: 1168: 1146: 1117: 1095: 1073: 1048: 1033: 1018: 724:Edward C. Prescott 451:Monetary economics 3007: 3006: 2538:New institutional 1685:978-0-262-16187-9 1207:is the number of 915:Dale T. Mortensen 872: 871: 799:Political economy 754:N. Gregory Mankiw 744:Thomas J. Sargent 589:Market monetarism 403:Endogenous growth 233:National accounts 16:(Redirected from 3037: 3020:Labour economics 2211:Natural resource 2046:Economic history 1984:Mechanism design 1936: 1929: 1922: 1913: 1912: 1906: 1905: 1895: 1872: 1866: 1865: 1836: 1830: 1829: 1812:(6): 1215–1241. 1801: 1793:Haan, Wouter den 1789: 1783: 1782: 1752: 1743: 1742: 1716: 1707: 1701: 1696: 1690: 1689: 1671: 1651:Optimal matching 1565: 1563: 1562: 1557: 1540: 1538: 1537: 1532: 1530: 1529: 1501: 1496: 1486: 1481: 1465: 1464: 1439: 1437: 1436: 1431: 1413: 1411: 1410: 1405: 1402: 1401: 1384: 1382: 1381: 1376: 1373: 1372: 1360: 1359: 1347: 1346: 1329: 1327: 1326: 1321: 1307: 1305: 1304: 1299: 1282: 1280: 1279: 1274: 1239: 1237: 1236: 1231: 1228: 1227: 1206: 1204: 1203: 1198: 1195: 1194: 1177: 1175: 1174: 1169: 1155: 1153: 1152: 1147: 1144: 1143: 1126: 1124: 1123: 1118: 1104: 1102: 1101: 1096: 1082: 1080: 1079: 1074: 1057: 1055: 1054: 1049: 1046: 1041: 1031: 1026: 1006: 1005: 993: 992: 972: 971: 931:Peter A. Diamond 864: 857: 850: 834: 833: 824:Money portal 822: 821: 820: 734:William Nordhaus 719:Robert Lucas Jr. 609:François Quesnay 245:Nominal rigidity 216:Demand for money 194:Microfoundations 130:Financial crisis 110:Effective demand 80:Aggregate supply 75:Aggregate demand 62: 39: 38: 21: 3045: 3044: 3040: 3039: 3038: 3036: 3035: 3034: 3010: 3009: 3008: 3003: 3000:Business portal 2967: 2966: 2965: 2925: 2689:von Böhm-Bawerk 2577: 2576: 2567: 2339:Ancient thought 2317: 2316: 2310: 2301: 2300: 2299: 2050: 2015: 1979:Contract theory 1964:Decision theory 1945: 1940: 1910: 1909: 1893:10.1.1.422.8639 1873: 1869: 1844:Wright, Randall 1837: 1833: 1799: 1790: 1786: 1771:10.2307/2297896 1753: 1746: 1714: 1708: 1704: 1697: 1693: 1686: 1672: 1665: 1660: 1655: 1631:Labor economics 1626:Beveridge curve 1616: 1596: 1577: 1549: 1546: 1545: 1525: 1521: 1497: 1492: 1482: 1477: 1454: 1450: 1448: 1445: 1444: 1423: 1420: 1419: 1397: 1393: 1390: 1387: 1386: 1368: 1364: 1355: 1351: 1342: 1338: 1335: 1332: 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2232: 2229: 2227: 2224: 2222: 2221:Participation 2219: 2217: 2214: 2212: 2209: 2207: 2204: 2202: 2199: 2197: 2194: 2192: 2189: 2187: 2184: 2182: 2181:Institutional 2179: 2177: 2174: 2172: 2169: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2147: 2144: 2142: 2139: 2137: 2134: 2132: 2131:Expeditionary 2129: 2127: 2124: 2122: 2121:Environmental 2119: 2117: 2114: 2112: 2109: 2107: 2104: 2102: 2099: 2097: 2094: 2092: 2089: 2087: 2084: 2082: 2079: 2077: 2074: 2072: 2069: 2067: 2064: 2063: 2059: 2057: 2053: 2047: 2044: 2042: 2039: 2035: 2032: 2031: 2030: 2027: 2026: 2024: 2022: 2018: 2012: 2009: 2007: 2004: 2002: 1999: 1997: 1994: 1992: 1989: 1985: 1982: 1980: 1977: 1975: 1972: 1970: 1967: 1965: 1962: 1961: 1960: 1957: 1956: 1954: 1952: 1948: 1944: 1937: 1932: 1930: 1925: 1923: 1918: 1917: 1914: 1903: 1899: 1894: 1889: 1885: 1881: 1877: 1871: 1863: 1859: 1855: 1851: 1850: 1845: 1841: 1835: 1827: 1823: 1819: 1815: 1811: 1807: 1806: 1798: 1794: 1788: 1780: 1776: 1772: 1768: 1764: 1760: 1759: 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795: 792: 788: 785: 784: 783: 780: 778: 775: 773: 770: 769: 763: 762: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 730: 729:Peter Diamond 727: 725: 722: 720: 717: 715: 714:Edmund Phelps 712: 710: 707: 705: 702: 700: 697: 695: 692: 690: 689:Richard Stone 687: 685: 682: 680: 677: 675: 674:Joan Robinson 672: 670: 669:Simon Kuznets 667: 665: 664:Gunnar Myrdal 662: 660: 657: 655: 652: 650: 647: 645: 642: 640: 639:Irving Fisher 637: 635: 634:Knut Wicksell 632: 630: 627: 625: 622: 620: 617: 615: 612: 610: 607: 606: 603: 598: 597: 590: 587: 585: 582: 580: 577: 573: 570: 569: 568: 565: 563: 560: 556: 553: 552: 551: 548: 546: 543: 542: 541: 540: 534: 531: 529: 526: 524: 521: 519: 516: 512: 509: 508: 507: 506:New classical 504: 502: 499: 495: 492: 490: 487: 486: 485: 482: 481: 480: 475: 470: 469: 462: 459: 457: 454: 452: 449: 447: 444: 442: 439: 438: 432: 431: 424: 421: 419: 416: 414: 411: 409: 406: 404: 401: 397: 394: 393: 392: 389: 387: 384: 382: 379: 377: 374: 372: 369: 367: 364: 362: 359: 357: 354: 352: 349: 347: 344: 342: 339: 337: 334: 333: 327: 326: 319: 316: 314: 311: 309: 306: 304: 301: 299: 296: 295: 289: 288: 281: 278: 276: 273: 271: 268: 266: 263: 261: 260:Shrinkflation 258: 256: 253: 251: 248: 246: 243: 239: 236: 235: 234: 231: 229: 226: 222: 219: 218: 217: 214: 212: 209: 205: 202: 201: 200: 197: 195: 192: 188: 185: 183: 180: 178: 175: 174: 173: 170: 168: 165: 163: 160: 158: 157:Interest rate 155: 151: 148: 146: 143: 142: 141: 138: 136: 133: 131: 128: 124: 121: 119: 116: 115: 114:Expectations 113: 111: 108: 106: 103: 101: 98: 96: 93: 91: 88: 86: 83: 81: 78: 76: 73: 72: 66: 65: 61: 57: 56: 53: 50: 49: 45: 41: 40: 37: 33: 19: 2995:Publications 2951:Publications 2918: 2514:Neoclassical 2504:Mercantilism 2413:Evolutionary 2275:Sociological 2248: / 2146:Geographical 2126:Evolutionary 2101:Digitization 2066:Agricultural 2029:Econometrics 1969:Price theory 1886:(1): 25–49. 1883: 1879: 1870: 1856:(1): 63–77. 1853: 1847: 1834: 1809: 1803: 1787: 1762: 1756: 1722: 1718: 1705: 1694: 1675: 1600:labor market 1597: 1578: 1575:Applications 1569:productivity 1543: 1285: 1242: 1060: 951:Cobb–Douglas 944: 926: 912: 888: 879: 873: 749:Paul Krugman 694:Hyman Minsky 654:Alvin Hansen 538: 537: 478: 441:Econometrics 418:Overshooting 371:Harrod–Domar 366:Arrow–Debreu 313:Central bank 280:Unemployment 270:Supply shock 228:Money supply 105:Disinflation 100:Demand shock 36: 2789:von Neumann 2558:Supply-side 2543:Physiocracy 2487:Marginalism 2176:Information 2116:Engineering 2096:Development 2091:Demographic 1974:Game theory 1951:Theoretical 1594:Controversy 1416:labor force 1251:, that is, 1209:vacant jobs 629:LĂ©on Walras 523:Supply-side 356:Accelerator 265:Stagflation 250:Price level 145:Demand-pull 3014:Categories 2946:Economists 2819:Schumacher 2724:Schumpeter 2694:von Wieser 2614:von ThĂĽnen 2574:Economists 2473:Circuitism 2438:Humanistic 2433:Historical 2408:Ecological 2398:Democratic 2371:Chartalism 2361:Behavioral 2324:Mainstream 2285:Statistics 2280:Solidarity 2201:Managerial 2166:Humanistic 2161:Historical 2106:Ecological 2071:Behavioral 1658:References 1418:in period 684:John Hicks 614:Adam Smith 572:Circuitism 562:Ecological 550:Chartalism 501:Monetarism 479:Mainstream 376:Solow–Swan 351:Multiplier 308:Commercial 204:Endogenous 162:Investment 2864:Greenspan 2829:Samuelson 2809:Galbraith 2779:Tinbergen 2719:von Mises 2714:Heckscher 2674:Edgeworth 2553:Stockholm 2548:Socialist 2448:Keynesian 2428:Happiness 2388:Classical 2349:Mutualism 2344:Anarchist 2329:Heterodox 2226:Personnel 2186:Knowledge 2151:Happiness 2141:Financial 2111:Education 2086:Democracy 2021:Empirical 1943:Economics 1888:CiteSeerX 1553:δ 1516:δ 1513:− 1471:μ 1362:− 1295:δ 1268:≈ 1070:μ 1016:μ 876:economics 782:Economics 624:Karl Marx 539:Heterodox 518:Stockholm 484:Keynesian 255:Recession 150:Cost-push 140:Inflation 95:Deflation 2975:Category 2955:journals 2941:Glossary 2894:Stiglitz 2859:Rothbard 2839:Buchanan 2824:Friedman 2814:Koopmans 2804:Leontief 2784:Robinson 2669:Marshall 2519:Lausanne 2423:Georgism 2418:Feminist 2366:Buddhist 2356:Austrian 2255:Regional 2231:Planning 2206:Monetary 2136:Feminist 2081:Cultural 2076:Business 1826:10864047 1614:See also 1385:, where 953:' form: 766:See also 545:Austrian 303:Monetary 292:Policies 123:Rational 118:Adaptive 44:a series 42:Part of 32:matching 2990:Outline 2961:Schools 2953: ( 2914:Piketty 2909:Krugman 2774:Kuznets 2764:Kalecki 2739:Polanyi 2629:Cournot 2624:Bastiat 2609:Ricardo 2599:Malthus 2589:Quesnay 2492:Marxian 2383:Chicago 2313:history 2308:Schools 2295:Welfare 2265:Service 2056:Applied 1862:2117496 1779:2297896 1739:2698244 1414:is the 925:' book 787:Applied 584:Marxian 474:Schools 2899:Thaler 2879:Ostrom 2874:Becker 2869:Sowell 2849:Baumol 2754:Myrdal 2749:Sraffa 2744:Frisch 2734:Knight 2729:Keynes 2704:Fisher 2699:Veblen 2684:Pareto 2664:Menger 2659:George 2654:Jevons 2649:Walras 2639:Gossen 2563:Thermo 2241:Public 2236:Policy 2191:Labour 2156:Health 1890:  1860:  1824:  1777:  1737:  1682:  1178:, and 1105:, and 1061:where 947:agents 602:People 330:Models 298:Fiscal 275:Saving 135:Growth 2985:Lists 2980:Index 2931:Lists 2904:Hoppe 2889:Lucas 2854:Solow 2844:Arrow 2834:Simon 2799:Lange 2794:Hicks 2769:Röpke 2759:Hayek 2709:Pigou 2679:Clark 2594:Smith 2509:Mixed 2468:Post- 2290:Urban 2270:Socio 2260:Rural 1858:JSTOR 1822:S2CID 1800:(PDF) 1775:JSTOR 1735:JSTOR 1715:(PDF) 423:NAIRU 341:AD–AS 336:IS–LM 199:Money 2920:more 2644:Marx 2634:Mill 2619:List 2497:Neo- 2453:Neo- 1680:ISBN 489:Neo- 396:DSGE 90:CAGR 2884:Sen 2604:Say 2463:New 2196:Law 1898:doi 1814:doi 1767:doi 1727:doi 1571:). 1330:as 917:of 886:. 874:In 494:New 238:SNA 187:NNI 182:GNI 177:GDP 3016:: 1896:. 1884:95 1882:. 1854:83 1852:. 1842:; 1820:. 1810:50 1808:. 1802:. 1773:. 1763:61 1761:. 1747:^ 1733:. 1723:39 1721:. 1717:. 1666:^ 1606:, 1283:. 1240:. 1083:, 910:. 878:, 46:on 2957:) 2459:) 2455:( 2315:) 2311:( 1935:e 1928:t 1921:v 1904:. 1900:: 1864:. 1828:. 1816:: 1781:. 1769:: 1741:. 1729:: 1688:. 1527:t 1523:n 1519:) 1510:1 1507:( 1504:+ 1499:b 1494:t 1490:v 1484:a 1479:t 1475:u 1468:= 1462:1 1459:+ 1456:t 1452:n 1427:t 1399:t 1395:L 1370:t 1366:u 1357:t 1353:L 1349:= 1344:t 1340:n 1317:t 1271:1 1265:b 1262:+ 1259:a 1225:t 1221:m 1192:t 1188:v 1165:t 1141:t 1137:u 1114:b 1092:a 1044:b 1039:t 1035:v 1029:a 1024:t 1020:u 1012:= 1008:) 1003:t 999:v 995:, 990:t 986:u 982:( 979:M 975:= 969:t 965:m 863:e 856:t 849:v 20:)

Index

Matching theory (macroeconomics)
matching
a series
Macroeconomics
Federal Reserve
Aggregate demand
Aggregate supply
Business cycle
CAGR
Deflation
Demand shock
Disinflation
Effective demand
Adaptive
Rational
Financial crisis
Growth
Inflation
Demand-pull
Cost-push
Interest rate
Investment
Liquidity trap
Measures of national income and output
GDP
GNI
NNI
Microfoundations
Money
Endogenous

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