General bounds for incremental maximization

@article{Bernstein2017GeneralBF,
  title={General bounds for incremental maximization},
  author={Aaron Bernstein and Yann Disser and Martin Gro{\ss}},
  journal={Mathematical Programming},
  year={2017},
  volume={191},
  pages={953-979}
}
We propose a theoretical framework to capture incremental solutions to cardinality constrained maximization problems. The defining characteristic of our framework is that the cardinality/support of the solution is bounded by a value  $$k\in {\mathbb {N}}$$ k ∈ N that grows over time, and we allow the solution to be extended one element at a time. We investigate the best-possible competitive ratio of such an incremental solution, i.e., the worst ratio over all  k between the incremental solution… 

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