Equilibria and Complementarity Problems

摘要: In this chapter, we explore the notions of equilibria and optimization show how in some cases they are related. The notion an equilibrium is a fundamental concept that has been used variety disciplines such as economics, engineering, science to name just few. At its core, state system being modeled for which no “incentive” change. These incentives can be monetary case economics or based on natural forces scientific laws total input equals output. Some well-known engineering examples include: conservation energy, mass, momentum [8], steady-state probabilities Markov chains birth-and-death processes [53] other typified by balancing conditions so once reached will not easily (if at all) left.