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AbstractWe calculate the frequency of games with a unique pure strategy Nash equilibrium in the ensemble ofn-player,m-strategy normal-form games. To obtain the ensemble, we generate payoff matrices at random. Games with a unique pure strategy Nash equilibrium converge to the Nash equilibrium. We then consider a wider class of games that converge under a best-response dynamic, in which each player chooses their optimal pure strategy successively. We show that the frequency of convergent games with a given number of pure Nash equilibria goes to zero as the number of players or the number of strategies goes to infinity. In the 2-player case, we show that for large games with at least 10 strategies, convergent games with multiple pure strategy Nash equilibria are more likely than games with a unique Nash equilibrium. Our novel approach uses ann-partite graph to describe games.

AbstractThis research explores opinions about best practices in system dynamics modeling elicited from a distinguished group of experts in the field. We address three questions: What do practitioners believe is the best way to undertake system dynamics modeling? What specific core activities are essential for exemplary action during the different stages of the modeling process? What do experts believe are the most important practices during the different stages of the modeling process? The researchers used a multi‐method approach involving interviews, virtual meetings using the Internet, statistical analysis of the generated data and, finally, a facilitated face‐to‐face meeting in which experts discussed the results of the study and their implications. The results of this research include 72 best practices grouped into six categories that reflect the stages of the system dynamics modeling process. Copyright © 2013 System Dynamics Society.