Timeline for The probability of block generation by two miners in a special case?
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:47 | history | edited | CommunityBot |
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| Sep 20, 2016 at 14:55 | vote | accept | Questioner | ||
| Sep 20, 2016 at 8:54 | comment | added | Murch♦ |
@sas: As I have said previously, both have the same likelihood. Following the prior that the two pools find two blocks there are four cases: (p1, p2) = 0.1×0.9 is equal to (p2, p1) = 0.9×0.1, but (p1, p1) = 0.1×0.1 and (p2, p2) = 0.9×0.9. It follows that the chance that p2 is first (p2, X) = 0.9×(0.1 + 0.9) = 0.9. As I said, it's normal for two independent events occurring in combination that they have the same likelihood to appear in either order. That's basic probability theory, if you still don't believe it, please hit the books or something, I've explained it thrice now.
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| Sep 20, 2016 at 8:42 | comment | added | Questioner | @Murch, To be more clear: Let's consider your answer: prob (first:pool1 , second:pool2) = 0.184×0.10×0.90 now what is prob (first:pool2 , second:pool1) = ? Thanks | |
| Sep 19, 2016 at 23:42 | comment | added | Murch♦ | That's not what Nate said. Of course the chance is bigger that the first block is produced by the pool with the bigger hashrate. And I don't think you understood what I was suggesting. | |
| Sep 19, 2016 at 23:01 | comment | added | Questioner | @Murch, In fact, I determined which on is honest and which miner is selfish, since you said "the network is fundamentally broken then: pool_2 can just ignore all blocks by pool_1 and still produce the longest chain by itself" but in general the question is that the probability that which one can generate the first block is depended on their hashpower? According to Nate Eldredge answer it is not denpended, but I think it is more logical that the miner with more hashpower has more chance to generate the first block, I'm wrong? | |
| Sep 19, 2016 at 22:16 | comment | added | Murch♦ | I think this may be an XY-Problem. Perhaps it would be helpful to explain why you want to find out about this case? E.g. what's the underlying question about selfish mining that you're interested in? | |
| Sep 19, 2016 at 21:36 | comment | added | Questioner | @ Nick ODell, I modified question. | |
| Sep 19, 2016 at 21:36 | history | edited | Questioner | CC BY-SA 3.0 |
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| Sep 19, 2016 at 20:44 | answer | added | Nate Eldredge | timeline score: 1 | |
| Sep 19, 2016 at 20:19 | comment | added | Nick ODell | I understand the scenario you're suggesting, but I don't understand what your question is. | |
| Sep 19, 2016 at 20:06 | history | asked | Questioner | CC BY-SA 3.0 |