English

Necessary conditions for linear noncooperative N-player delta differential games on time scales

Optimization and Control 2012-09-18 v1 Classical Analysis and ODEs

Abstract

We present necessary conditions for linear noncooperative N-player delta dynamic games on a generic time scale. Necessary conditions for an open-loop Nash-equilibrium and for a memoryless perfect state Nash-equilibrium are proved.

Keywords

Cite

@article{arxiv.0801.0090,
  title  = {Necessary conditions for linear noncooperative N-player delta differential games on time scales},
  author = {Natalia Martins and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:0801.0090},
  year   = {2012}
}

Comments

Partially presented at the "Fifth Symposium on Nonlinear Analysis" (SNA 2007), Torun, Poland, September 10-14, 2007