A vast and often confusing economics literature relates competition to investment in innovation. Following Joseph Schumpeter, one view is that monopoly and large scale promote investment in research and development by allowing a firm to capture a larger fraction of its benefits and by providing...

The assumption that decision makers choose actions to maximize their preferences is a central tenet in economics. This assumption is often justified either formally or informally by appealing to evolutionary arguments. In contrast, this paper shows that in almost every game, payoff. maximization...