Ed Green's personal web page
§ 1. Course materials
§ 2. Research
“Individual-level randomness in a nonatomic population” is unpublished research that provides a set-theoretic construction of a continuum of i.i.d. random variables, such that the integral of each sample path with respect to a measurable subset of the indexes is the product of the measure of the index subset and the expectation of the random variable. The construction is an alternative to a construction by nonstandard analysis. (Cf. Robert M. Anderson, ”Non-standard analysis with applications to economics,” in W. Hildenbrand and H. Sonnenschein, editors, Handbook of Mathematical Economics, volume 4, chapter 39, pages 2145–2208. Elsevier, 1991.) This paper was rejected for publication, but all of the referees (4 reports were received in total) judged that the results are mathematically sound.
“Iterated elimination of dominated strategies in countable-strategy games” [working title] Draft, 2011.04.28.
“Events concerning knowledge” 2012.04.17. Common knowledge of a Borel event is shown to be a co-analytic event, and is therefore universally measurable. An extension of Aumann's “agreement theorem” regarding common knowledge of posterior probabilities is proved in the framework of a measure space defined on a complete, separable, sigma-compact metric space.
“Embedding an analytic equivalence relation in the transitive closure of a Borel relation [Journal of Logic and Analysis 5:4 (2013)]. The transitive closure of a reflexive, symmetric, Borel relation is an analytic equivalence relation. Does some smaller class contain the transitive closure of every reflexive, symmetric, closed relation? An essentially negative answer is provided here. The Baire space is homeomorphic to an open subset of itself, X, that has an open complement. It is shown that any analytic equivalence relation E on the Baire space can be embedded homeomorphically in the transitive closure of a reflexive, symmetric, closed relation on X. Specifically, the relation can be constructed as the union of two closed equivalence relations. This result shows that Aumann's common-knowledge operator can map individuals' information partitions of low complexity to a considerably more complex common-knowledge partition.
My CV on the PSU Economics Department website contains information regarding my published research.
§ 3. PSU Economics Department web page for Ed Green
Go to the Penn State Economics Department web page for Ed Green.
§ 4. Personal information
§ 4.2. Healthcare advance directive
In case of medical emergency, here is my Health Care Power of Attorney and Declaration Regarding Treatment. It is digitally signed with this GPG detached digital signature executed on 2013-05-23. The original, signed, notarized document from which this PDF file was scanned, is on file in my home. By uniform state law (including Pa. Stat. tit. 73 §2260.101 et seq.) and federal law (15 U.S.C. 7001), doctors and hospital administrators can rely directly on this scanned, digitally signed document. In order to verify the signature, use my GPG public key (provided above) and follow the instructions provided in the relevant GPG Handbook chapter.