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Ethics play an important role in determining the behavior of an individual under certain circumstances. Ethical or unethical behavior can be treated as a strategy of a player in a pay-off game. In this paper, we present two analytical solutions to studying time evolution of behavior of an individual from ethics perspective. We also present the effect of a third player as a perturbation to a two player game and develop a general approach for a $N$ player game. We demonstrate geometric modeling of behavioral characteristics of individuals as polytopes residing in $D$ dimensional space. We treat three player and two player games using set of differential equations that lead to time evolution of phase trajectories which reveal about the interdependencies and self dependencies of each player. We also demonstrate the effect of strategies of each player on other players in cardinal games., Comment: 21 pages

The longitudinal oscillations of air columns composed of contractions and rarefaction make up sound. Sound amplification is widely used in medical, electronic and communication fields. A simplistic technique for producing and amplifying can be rewarding. In this study, we investigate a simplistic DIY speaker configuration that can be utilized for sound creation and modulation by implementing response of magnets and a solenoid to an oscillating input signal. We use steady state solution of forced simple harmonic oscillator with damping parameters to analyze our design and show its characteristic frequencies. We present an analytical way of obtaining optimal parameters of the setup to theoretically obtain experimental characteristic frequencies and provide an in-depth investigation of the setup., Comment: 22 pages