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Aggregating the single crossing property: theory and applications to comparative statics and Bayesian games.

Abstract:

The single crossing property plays a crucial role in monotone comparative statics (Milgrom and Shannon (1994)), yet in some important applications the property cannot be directly assumed or easily derived. Difficulties often arise because the property cannot be aggregated: the sum of two functions with the single crossing property need not have the same property. We obtain the precise conditions under which functions with the single crossing property add up to functions with this property. ...

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Publisher:
Department of Economics (University of Oxford)
Series:
Discussion paper series
Publication date:
2010-01-01
Language:
English
UUID:
uuid:cde17507-d3c7-4644-badd-6cd0b1ae8b7f
Local pid:
oai:economics.ouls.ox.ac.uk:14818
Deposit date:
2011-08-16

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