Semicontinuous integrands as jointly measurable maps
Suppose that (X,A) is a measurable space and Y is a metrizable, Souslin space. Let Au denote the universal completion of A. Given f : X x Y !R and x 2 X, let f (x,¢) be the lower semicontinuous hull of f (x,¢). If f is (Au B(Y),B(R))-measurable, then f is (Au B(Y),B(R))-measurable.
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- Oriol Carbonell-Nicolau & Richard McLean, 2014.
"On the existence of Nash equilibrium in Bayesian games,"
Departmental Working Papers
201402, Rutgers University, Department of Economics.
- Oriol Carbonell-Nicolau & Richard McLean, 2015. "On the Existence of Nash Equilibrium in Bayesian Games," Departmental Working Papers 201513, Rutgers University, Department of Economics.