  We study the dynamics of simple congestion games with two resources where a
continuum of agents behaves according to a version of Experience-Weighted
Attraction (EWA) algorithm. The dynamics is characterized by two parameters:
the (population) intensity of choice $a>0$ capturing the economic rationality
of the total population of agents and a discount factor $\sigma\in [0,1]$
capturing a type of memory loss where past outcomes matter exponentially less
than the recent ones. Finally, our system adds a third parameter $b \in (0,1)$,
which captures the asymmetry of the cost functions of the two resources. It is
the proportion of the agents using the first resource at Nash equilibrium, with
$b=1/2$ capturing a symmetric network.
  Within this simple framework, we show a plethora of bifurcation phenomena
where behavioral dynamics destabilize from global convergence to equilibrium,
to limit cycles or even (formally proven) chaos as a function of the parameters
$a$, $b$ and $\sigma$. Specifically, we show that for any discount factor
$\sigma$ the system will be destabilized for a sufficiently large intensity of
choice $a$. Although for discount factor $\sigma=0$ almost always (i.e., $b
\neq 1/2$) the system will become chaotic, as $\sigma$ increases the chaotic
regime will give place to the attracting periodic orbit of period 2. Therefore,
memory loss can simplify game dynamics and make the system predictable. We
complement our theoretical analysis with simulations and several bifurcation
diagrams that showcase the unyielding complexity of the population dynamics
(e.g., attracting periodic orbits of different lengths) even in the simplest
possible potential games.
