  The stability property of the loss-aversion-based noncooperative switched
systems with quadratic payoffs is investigated. In this system, each agent
adopts the lower sensitivity parameter in the myopic pseudo-gradient dynamics
for the case of losing utility than gaining utility, and both systems' dynamics
and switching events (conditions) are depending on agents' payoff functions.
Sufficient conditions under which agents' state converges towards the Nash
equilibrium are derived in accordance with the location of the Nash
equilibrium. In the analysis, the mode transition sequence and interesting
phenomena which we call flash switching instants are characterized. Finally, we
present several numerical examples to illustrate the properties of our results.
