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Watch the video (includes video guide)
Key readings covered in this lecture
Atkinson, A. and Bourguignong, F. (1982). The comparison of multi-dimensional distributions of economic status. Review of Economic Studies XLIX, 183-201
Barret, G. and Donald, S. (2003). Consistent tests for stochastic dominance. Econometrica. 71(1): 71-104
Yalonettzky, G. (2011). Stochastic dominance for ordinal variables: conditions and tests. Forthcoming in Econometric review.
Related lectures
Unidimensional Poverty Measurement: Axioms, Measures and Dominance
Video
Guide to the video
00:00 Introduction and outline of lecture
05:45 Defining dominance (see also Unidimensional Poverty Measurement: Axioms, Measures and Dominance)
Part 1: Unidimensional Dominance
15:21 Unidimensional dominance
Part 2: Bivariate Dominance Conditions
24:09 The bivariate case of dominance, first order conditions, survival functions, ALEP complements and substitutes
32:07 Dominance condition 1 – A condition for monotonically increasing functions with ALEP substitute arguments
40:50 Dominance condition 2 – A condition for monotonically increasing functions with ALEP complement arguments
45:32 Dominance condition 3 – A condition for monotonically increasing functions with ALEP neutral arguments
52:22 Dominance condition 4 (strongest condition) -A condition for ALL individual welfare functions that are monotonically increasing
Part 3: Multidimensional Dominance Conditions
58:52 Extending the bivariete dominance to the multivariate case (see Yalonetzky (2011))
66:40 The relationship between ALEP properties and dominance conditions
Part 4: From Well-Being to Poverty Measurement
78:26 the application of well-being dominance to poverty measurement
