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Full-Text Articles in Engineering
Analysis Of The Penney-Ante Game Using Difference Equations: Development Of An Optimal And A Mixed-Strategies Protocol, Carl Barratt, Pauline Schwartz
Analysis Of The Penney-Ante Game Using Difference Equations: Development Of An Optimal And A Mixed-Strategies Protocol, Carl Barratt, Pauline Schwartz
Chemistry and Chemical Engineering Faculty Publications
Penney-Ante is a well known two-player (Player I and Player II) game based on an information paradox. We present a new approach, using difference-equations, to analyzing the outcome for each player. One strategy yields a winning outcome of 75% for Player II, the player playing second. The approach also permits investigation of non-optimal strategies, and demonstrates how mixing of such strategies can be used to tune the winning edge of either player. We generalize the analysis to accommodate the possibility of a biased coin.
Kinetic Models Of The Prebiotic Replication Of Dsrna Under Thermal Cycling Conditions, Pauline Schwartz, Dante M. Lepore, Carl Barratt
Kinetic Models Of The Prebiotic Replication Of Dsrna Under Thermal Cycling Conditions, Pauline Schwartz, Dante M. Lepore, Carl Barratt
Chemistry and Chemical Engineering Faculty Publications
We present computational models for the replication of double stranded RNA (dsRNA) or related macromolecules under thermal cycling conditions that would reflect prebiotic (i.e. non-enzymatic) environments. Two models of the replication of dsRNA are represented as multi-step chemical systems. The objective of this investigation was to better understand the kinetic features of such chemical systems. It is shown that thermal cycling in a chemical system is advantageous (relative to a fixed temperature) if there are two competing reactions, one favored at high temperature and one favored at low temperature. For the prebiotic replication of dsRNA, a high temperature favors formation …