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Record W4240312134 · doi:10.24908/iqurcp.8532

Skunk – The Problem of Short-Termism in Probability

2018· article· en· W4240312134 on OpenAlexvenueno aff
David C. M. Kong

Bibliographic record

VenueInquiry Queen s Undergraduate Research Conference Proceedings · 2018
Typearticle
Languageen
FieldMathematics
TopicStatistics Education and Methodologies
Canadian institutionsnot available
Fundersnot available
KeywordsDiceSittingPoint (geometry)ThrowingFactoringComputer scienceMathematical economicsCoin flippingMathematicsStatisticsEconomicsEngineering

Abstract

fetched live from OpenAlex

In the game of Skunk a pair of dice is rolled again and again and as long as you remain “standing” you can keep adding the totals to your score. At any time you can “sit” and then you take home what you have won. However if you are standing and a “one” comes up on either die, the game is over and you lose everything. An optimal strategy is traditionally developed by comparing the expected score of standing with the expected score of sitting. As long as E(standing) > E(sitting), you would continue to roll the dice. As you accumulate points, you begin risking more points. At one point it becomes too risky to go forward. However, we found this traditional methodology to be flawed (though the answer remains the same). This solution focuses only on the expected score in the next roll, instead of factoring in the expected total score that can be gained over indefinite future. The error does not come to light until weanalyze a variation where you are also allowed to choose the number of dice to use. All the equations (using the idea E(standing) > E(sitting)) we solved led us down a misleading and often intractable road. Yet, through reasoning, we figured that there is no strategy better than throwing 1-dice at a time. Proving this is quite difficult, because it had to be shown that the pure 1-dice strategy is better than all of the other (infinite) strategies, since the game can go on forever.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.008
metaresearch head score (Gemma)0.006
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.043
Threshold uncertainty score0.991

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0080.006
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.003
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.471
GPT teacher head0.508
Teacher spread0.037 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2018
Admission routes1
Has abstractyes

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