Solving discretely-constrained nash-cournot games with an application to power markets Articles uri icon

publication date

  • September 2013

start page

  • 307

end page

  • 326

issue

  • 3

volume

  • 13

International Standard Serial Number (ISSN)

  • 1566-113X

Electronic International Standard Serial Number (EISSN)

  • 1572-9427

abstract

  • This paper provides a methodology to solve Nash-Cournot energy production games allowing some variables to be discrete. Normally, these games can be stated as mixed complementarity problems but only permit continuous variables in order to make use of each producer's Karush-Kuhn-Tucker conditions. The proposed approach allows for more realistic modeling and a compromise between integrality and complementarity to avoid infeasible situations.

keywords

  • nash; cournot; integer; discrete; game theory; power market