https://technicalities.home.blog/2020/02/16/a-sparse-reading-of-chernozhukov-et-al-2017/2020-02-22T03:41:14+00:00monthlyhttps://technicalities.home.blog/2019/04/29/rationality-from-irrationality-part-2-convex-analysis-and-blackwell-approachability/https://technicalities.home.blog/wp-content/uploads/2019/04/screen-shot-2019-04-28-at-3.06.52-pm.pngScreen Shot 2019-04-28 at 3.06.52 PMFigure from Hart and Mas-Colell. Combining the uniform boundedness of $latex \mathbb E[v(s_{t+1}) | D_t]$ with the decreasing influence, eventually, $latex E[D_{t+1} | D_t]$ must lie inside the dotted ball.https://technicalities.home.blog/wp-content/uploads/2019/04/img_3416-e1556487333569.jpgIMG_3416The condition in the statement of Blackwell's approachability theorem says that we can always find some mixed strategy that guarantees that the expected value of playing this strategy is in the shaded region, no matter what $latex -i$ does.https://technicalities.home.blog/wp-content/uploads/2019/04/img_3415-e1556483846438.jpgIMG_3415Each dotted line represents the set of points for which $latex p\cdot \lambda$ has a fixed value. The support function is the value of $latex p\cdot\lambda$ at the dotted line tangent to $latex \mathcal C$.2019-07-07T07:40:52+00:00monthlyhttps://technicalities.home.blog/2019/06/30/rationality-from-irrationality-addendum-2-adversary-robust-learning/2019-07-06T20:25:24+00:00monthlyhttps://technicalities.home.blog/2019/05/05/rationality-from-irrationality-part-3-from-matching-pennies-to-matching-regrets/https://technicalities.home.blog/wp-content/uploads/2019/05/screen-shot-2019-05-04-at-5.02.27-pm.pngScreen Shot 2019-05-04 at 5.02.27 PMhttps://technicalities.home.blog/wp-content/uploads/2019/05/img_3424.jpgIMG_3424If this is your first time reading through, this graph might not make any sense. I recommend looking at it again after working through the proof the first time.https://technicalities.home.blog/wp-content/uploads/2019/05/screen-shot-2019-05-04-at-12.14.38-pm.pngScreen Shot 2019-05-04 at 12.14.38 PM2019-07-05T07:56:08+00:00monthlyhttps://technicalities.home.blog/2019/07/02/mechanism-design-and-new-institutional-economics/2019-07-03T02:44:37+00:00monthlyhttps://technicalities.home.blog/2019/06/22/a-difficult-inequality-and-2-proofs/2019-06-22T23:17:28+00:00monthlyhttps://technicalities.home.blog/2019/06/02/mechanism-design-made-simple/2019-06-05T06:25:53+00:00monthlyhttps://technicalities.home.blog/2019/05/15/rationality-from-irrationality-addendum-1-finiteness-to-compactness/2019-05-18T04:58:17+00:00monthlyhttps://technicalities.home.blog/2019/05/12/rationality-from-irrationality-part-4-creating-our-own-propensity-scores/2019-05-15T02:44:18+00:00monthlyhttps://technicalities.home.blog/2019/05/10/multivariate-gaussian-conditioning-without-explicit-inversion/2019-05-10T05:59:12+00:00monthlyhttps://technicalities.home.blog/2019/04/28/rationality-from-irrationality-a-close-reading-of-hart-and-mas-colell/2019-04-29T03:42:57+00:00monthlyhttps://technicalities.home.blog/2019/04/24/black-scholes-addendum-1-indecisive-monkeys/2019-04-27T04:26:54+00:00monthlyhttps://technicalities.home.blog/2019/04/21/delta-hedging-stochastic-calculus-and-black-scholes/https://technicalities.home.blog/wp-content/uploads/2019/04/bm.pngbmSource: https://quanttutorials.wordpress.com/2013/05/30/what-is-brownian-motion/2019-04-21T18:30:10+00:00monthlyhttps://technicalities.home.blog/2019/03/08/compactness-and-its-statistical-uses/2019-04-21T07:04:25+00:00monthlyhttps://technicalities.home.blog/2019/04/19/propensity-score-perplexities/2019-04-19T05:36:12+00:00monthlyhttps://technicalities.home.blog/2019/01/28/laws-of-large-numbers-method-of-moments/2019-04-14T07:23:56+00:00monthlyhttps://technicalities.home.blog/2019/01/18/lfexplained/https://technicalities.home.blog/wp-content/uploads/2019/01/fig2caption.jpegfig2captionVisual intuition for the von Neumann resulthttps://technicalities.home.blog/wp-content/uploads/2019/01/screen-shot-2019-01-16-at-7.35.40-pm.pngscreen shot 2019-01-16 at 7.35.40 pmIn keeping with the theme of only using ridiculous pictures2019-04-14T07:20:30+00:00monthlyhttps://technicalities.home.blog/2019/02/24/uniform-laws-of-large-numbers-m-estimators/https://technicalities.home.blog/wp-content/uploads/2019/02/x5e2-secant-line.pngx^2 secant line2019-04-14T07:05:22+00:00monthlyhttps://technicalities.home.blog/2019/04/13/asymptotic-normality-in-parametric-models/2019-04-14T06:58:05+00:00monthlyhttps://technicalities.home.blog/2019/04/04/putting-the-metrics-in-econometrics/2019-04-06T05:58:49+00:00monthlyhttps://technicalities.home.blog/2019/04/01/putting-the-econ-back-in-econometrics-solutions/2019-04-01T04:27:55+00:00monthlyhttps://technicalities.home.blog/2019/03/30/putting-the-econ-back-into-econometrics/2019-03-30T06:51:59+00:00monthlyhttps://technicalities.home.blog/2019/01/15/interactions-are-hard/2019-03-29T05:41:43+00:00monthlyhttps://technicalities.home.blog/2019/03/24/high-stakes-high-jinks-at-hilberts-hotel/2019-03-24T04:23:57+00:00monthlyhttps://technicalities.home.blog/2019/03/10/an-addendum-on-compactness/2019-03-18T18:53:48+00:00monthlyhttps://technicalities.home.blog/2018/12/22/some-probability-theory/https://technicalities.home.blog/wp-content/uploads/2018/12/istock-18586699-monkey-computer_brick-16e5064d3378a14e0e4c2da08857efe03c04695e-s800-c85.jpgistock-18586699-monkey-computer_brick-16e5064d3378a14e0e4c2da08857efe03c04695e-s800-c85My roommate said I should include more figures so here you go: a modern monkey at a modern typewriter2019-01-04T05:44:39+00:00monthlyhttps://technicalities.home.blog/home/2018-12-22T07:14:04+00:00weekly0.6https://technicalities.home.blog/posts/2018-12-22T07:14:01+00:00weekly0.6https://technicalities.home.blog/contact/https://technicalities.home.blog/wp-content/uploads/2018/12/person-smartphone-office-table.jpegPlaceholder Image2018-12-22T07:01:41+00:00weekly0.6https://technicalities.home.blog/2018/12/17/introduction-post-how-did-anyone-ever-discover-the-central-limit-theorem/2018-12-21T23:24:36+00:00monthlyhttps://technicalities.home.blogdaily1.02020-02-22T03:41:14+00:00