The Kullback-Leibler Divergence as a Lyapunov Function for Incentive Based Game Dynamics

It has been shown that the Kullback-Leibler divergence is a Lyapunov function for the replicator equations at evolutionary stable states, or ESS. In this paper we extend the result to a more general class of game dynamics. As a result, sufficient conditions can be given for the asymptotic stability of rest points for the entire class of incentive dynamics. The previous known results will be can be shown as corollaries to the main theorem

The Art of War: Beyond Memory-one Strategies in Population Games

We define a new strategy for population games based on techniques from machine learning and statistical inference that is essentially uninvadable and can successfully invade (significantly more likely than a neutral mutant) essentially all known memory-one strategies for the prisoner's dilemma and other population games, including ALLC (always cooperate), ALLD (always defect), tit-for-tat (TFT), win-stay-lose-shift (WSLS), and zero determinant (ZD) strategies, including extortionate and generous strategies. We will refer to a player using this strategy as an "information player" and the specific implementation as $IP_0$. Such players use the history of play to identify opponent's strategies and respond accordingly, and naturally learn to cooperate with each other.Comment: 16 pages, 4 figure

Dao De Qin: A Case Study of the Guqin

This is a case study of the guqin that enables the reader to understand the multifaceted history, construction, technique, and ideology behind the instrument. I use my online research of different well-informed sites and scholarly articles as a basis for my research. These different sources allowed me to begin to understand the depth that this ancient zither holds. I quote such sources throughout this essay as they have been written in a very articulated fashion. Through these readings, I was able to interpret my field research regarding the guqin more clearly. My nonstop study of the guqin in this three-week period, with a Confucian scholar (in the old sense of the word), has given me a proper setting to achieve brief understanding of the instrument and the place that it held in ancient society. This essay will enlighten the reader on why the guqin is the most fascinating instrument that society has seen