منابع مشابه
The St. Petersburg Paradox
The classical St. Petersburg Paradox is discussed in terms of doubling strategies. It is claimed that what was originally thought of as a \paradox" can hardly be considered as very surprising today, but viewed in terms of doubling strategies, we get some results that look paradoxical, at least to the practically oriented investor.
متن کاملOn the So-Called Gibbs Paradox, and on the Real Paradox
Two versions of the so-called Gibbs paradox are discussed. Both of these are shown to be non-paradoxes. It is also shown that there is a different real paradox that emerges from Gibbs writings.
متن کاملThe Petersburg Paradox by Durand
Graham: “It is important for the student to understand why this pleasingly simple method of valuing a common stock or group of stocks had to be replaced by more complicated methods, especially in the growth-stock field. It would work fairly plausibly for assumed growth rates up to, say, 5 percent. The latter figure produces a required dividend return of only 2 percent, or a multiplier of 33 for...
متن کامل- - - - - - - - - - - - - - - - - - - - - - - - Investigating the St . Petersburg Paradox with Maple
The Saint Petersburg Paradox is a well known illustration ofhow the psychology of risk and reward can diverge from the underlying mathematics. In the standard game a fair coin is tossed repeatedly until the first head occurs. The payoff is $1 ifthe game terminates in one flip, $2 ifin two flips, $4 if in three, and so on, doubling the payoff for each additional flip required to obtain the first...
متن کاملThe so-called Stabilizer Theorem
Theorem 1.1 (Hrushovski’s Theorem 3.5). Let G be a definable group, X a definable subset, and G̃ be the ∨-definable group generated by X. Suppose all this data is defined over a model M . Suppose μ is an M-invariant translation-invariant ideal on subsets of G̃. Let q be a wide type over M , contained in G̃. Identify q with its ∧-definable set of realizations. Suppose (F) there exist two realizatio...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1949
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-2-1-56-58