How to build a probability-free casino
Casinos operate by generating sequences of outcomes which appear unpredictable, or random, to effective gamblers. We investigate relative notions of randomness for gamblers whose wagers are restricted to a finite set. Some sequences which appear unpredictable to gamblers using wager amounts in one s...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
February 2012
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| In: |
Information and computation
Year: 2012, Volume: 211, Pages: 160-164 |
| ISSN: | 1090-2651 |
| DOI: | 10.1016/j.ic.2011.12.004 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.ic.2011.12.004 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0890540112000065 
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| Author Notes: | Adam Chalcraft, Randall Dougherty, Chris Freiling, Jason Teutsch |
| Summary: | Casinos operate by generating sequences of outcomes which appear unpredictable, or random, to effective gamblers. We investigate relative notions of randomness for gamblers whose wagers are restricted to a finite set. Some sequences which appear unpredictable to gamblers using wager amounts in one set permit unbounded profits for gamblers using different wager values. In particular, we show that for non-empty finite sets A and B, every A-valued random is B-valued random if and only if there exists a k⩾0 such that B⊆A⋅k. |
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| Item Description: | Gesehen am 18.05.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2651 |
| DOI: | 10.1016/j.ic.2011.12.004 |