000 03148cam a22003617 4500
001 w14860
003 NBER
005 20211020111531.0
006 m o d
007 cr cnu||||||||
008 210910s2009 mau fo 000 0 eng d
100 1 _aGraham, Bryan S.
245 1 0 _aComplementarity and Aggregate Implications of Assortative Matching:
_bA Nonparametric Analysis /
_cBryan S. Graham, Guido W. Imbens, Geert Ridder.
260 _aCambridge, Mass.
_bNational Bureau of Economic Research
_c2009.
300 _a1 online resource:
_billustrations (black and white);
490 1 _aNBER working paper series
_vno. w14860
500 _aApril 2009.
520 3 _aThis paper presents methods for evaluating the effects of reallocating an indivisible input across production units, taking into account resource constraints by keeping the marginal distribution of the input fixed. When the production technology is nonseparable, such reallocations, although leaving the marginal distribution of the reallocated input unchanged by construction, may nonetheless alter average output. Examples include reallocations of teachers across classrooms composed of students of varying mean ability. We focus on the effects of reallocating one input, while holding the assignment of another, potentially complementary, input fixed. We introduce a class of such reallocations -- correlated matching rules -- that includes the status quo allocation, a random allocation, and both the perfect positive and negative assortative matching allocations as special cases. We also characterize the effects of local (relative to the status quo) reallocations. For estimation we use a two-step approach. In the first step we nonparametrically estimate the production function. In the second step we average the estimated production function over the distribution of inputs induced by the new assignment rule. These methods build upon the partial mean literature, but require extensions involving boundary issues. We derive the large sample properties of our proposed estimators and assess their small sample properties via a limited set of Monte Carlo experiments.
530 _aHardcopy version available to institutional subscribers
538 _aSystem requirements: Adobe [Acrobat] Reader required for PDF files.
538 _aMode of access: World Wide Web.
588 0 _aPrint version record
690 7 _aC14 - Semiparametric and Nonparametric Methods: General
_2Journal of Economic Literature class.
690 7 _aC21 - Cross-Sectional Models • Spatial Models • Treatment Effect Models • Quantile Regressions
_2Journal of Economic Literature class.
690 7 _aC52 - Model Evaluation, Validation, and Selection
_2Journal of Economic Literature class.
700 1 _aImbens, Guido W.
_913314
700 1 _aRidder, Geert.
_919403
710 2 _aNational Bureau of Economic Research.
830 0 _aWorking Paper Series (National Bureau of Economic Research)
_vno. w14860.
856 4 0 _uhttps://www.nber.org/papers/w14860
856 _yAcceso en lĂ­nea al DOI
_uhttp://dx.doi.org/10.3386/w14860
942 _2ddc
_cW-PAPER
999 _c333262
_d291824