DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Bourama Toni, Virginia State University

**Title: ***
Nash Limit Cycles
in the dynamics of America socio-cultural evolution: A game - theoretical approach
*

**Abstract:**
We analyze the dynamics of socio-cultural evolution based on the
ten core values of America in a 1-person game.
We first consider
the probability distribution of these
values in American continuous
interactions (vectors of probabilities as population states).
We then adapt some evolutionary game theory models to uncover all
possible dynamic games to include Nash and
eventually Nash Equilibria, Nash Limit Cycles
(states of self-sustained oscillations in decision-making)
and Nash Isochrons (states where individual preferences evolve
with the same constant phase). We also determine other game scenarios for America
social dynamic stability in terms of the co-existence of a national
Nash Equilibrium asymptotically semi-stable and multiple local/community
Nash Equilibria with changing basins of attraction in the interior
of a 9-simplex, convex compact subset of the 10-dimensional Euclidean space given
by these American ten core values.

**Time:** Friday, April 7, 2017, 1:30-2:20 p.m.

**Place:** Exploratory Hall, Room 4106

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491