Statistical auditing and randomness test of lotto -type games
نویسندگان
چکیده
منابع مشابه
Discrete Colonel Blotto and General Lotto games
A class of integer-valued allocation games—“General Lotto games”—is introduced and solved. The results are then applied to analyze the classical discrete “Colonel Blotto games”; in particular, optimal strategies are obtained for all symmetric Colonel Blotto games.
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A New Statistical Randomness Test: Saturation Point Test
In this work, we propose a new statistical randomness test, the Saturation Point Test, which can be applied to integer sequences as well as binary sequences and is designed to increase the number of tests for short sequences. The subject of Saturation Point Test is the index of integer, denoted by SP , where all possible integers occur in the given sequence. We evaluate the probability Pr(SP = ...
متن کاملGeneralizations of the General Lotto and Colonel Blotto Games∗
In this paper, we generalize the General Lotto game (budget constraints satisfied in expectation) and the Colonel Blotto game (budget constraints hold with probability one) to allow for battlefield valuations that are heterogeneous across battlefields and asymmetric across players, and for the players to have asymmetric resource constraints. We completely characterize Nash equilibrium in the ge...
متن کاملNon-symmetric discrete General Lotto games
We study a non-symmetric variant of General Lotto games introduced in Hart (Int J Game Theory 36:441–460, 2008). We provide a complete characterization of optimal strategies for both players in non-symmetric discrete General Lotto games, where one of the players has an advantage over the other. By this we complete the characterization given in Hart (Int J Game Theory 36:441–460, 2008), where th...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2008
ISSN: 0378-4371
DOI: 10.1016/j.physa.2008.07.017