Proving all the axioms of probability theory using game theory instead of measure theory. A couple of years back I wrote up a short proof of the law of large n

Proving all the axioms of probability theory using game theory instead of measure theory. A couple of years back I wrote up a short proof of the law of large numbers using game theory. http://www.marksaroufim.com/2015/02/14/probability-without-measure.html http://www.marksaroufim.com/2015/02/14/probability-without-m... All the ideas are inspired by this book by Shafer and Vovk https://www.amazon.com/Game-Theoretic-Foundations-Probability-Statistics/dp/0470903058/ref=pd_sbs_14_1/131-3331144-0774962?_encoding=UTF8&pd_rd_i=0470903058&pd_rd_r=e456f6ff-380f-476a-b76d-f7568027c793&pd_rd_w=D2GaI&pd_rd_wg=DJ4GT&pf_rd_p=52b7592c-2dc9-4ac6-84d4-4bda6360045e&pf_rd_r=TWKZ5ATFJKT785CHB6HR&psc=1&refRID=TWKZ5ATFJKT785CHB6HR https://www.amazon.com/Game-Theoretic-Foundations-Probabilit...