Simulation Three examples from my own work 1

Simulation Three examples from my own work: (1) economics, (2) physics, (3) biology/game theory First, for economics: an early agent-based paper. Why agent-based simulation? Realistic complexity, dynamics. There are those bubbles and crashes… for a physicist’s viewpoint, see for example "This Economy Does Not Compute, " Mark Buchanan, NY Times, Oct. 1, 2008

A minimal complete agent-based economy http: //www. cs. princeton. edu/~ken/madness. pdf "Simulating the Madness of Crowds: Price Bubbles in an Auction. Mediated Robot Market, " K. Steiglitz and D. Shapiro, Computational Economics, vol. 12, pp. 35 -59, 1998.

And for some physics, simulating a guided electromagnetic wave. • The setup: a waveguide and a wave (photons) following it. • The model: a partial differential equation (actually Schrödinger’s wave equation) • The tool: Matlab The “waveguide” is actually induced by traveling pulse, and the idea is that photons can be “shepherded” by the pulse. “Photon trapping and transfer with solitons, ” K. Steiglitz and D. Rand, Phys. Rev. 79, 021802 R 2009.

Some biology/game theory. How does population evolve with pairwise competition (as opposed to differential fitness). The unhidden agenda: can spiteful behavior be evolutionarily advantageous? http: //www. cs. princeton. edu/~ken/YBULM 381 article. pdf “Pairwise Competition and the Replicator Equation, " J. Morgan and K. Steiglitz, Bulletin of Mathematical Biology, 65, 2003, pp. 1163 -1172.