Author

Robert Hildebrand

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Preprint Oct 2026

Computing Equilibria in Integer Programming Games with Shared Constraints

We develop a cutting-plane algorithm for computing pure Nash equilibria in finite integer games with shared constraints, where a deviation may be feasible against one opponent profile and infeasible against another. Conditional equilibrium inequalities capture this dependence through an explicit activation term. We giv...

Bai-Nian Hao, Hyunwoo Lee, Robert Hildebrand et al. · 0 citations

Preprint Sep 2026

Integer Maximization over $\ell_p$ Balls: Hardness and Exact Algorithms

We study the problem of maximizing a linear function over the integer points of an origin-centered $\ell_p$ ball, which we call \BallIPp{p}. For every fixed integer $p\ge2$, we prove that the decision problem over an $\ell_p$-ball is NP-complete. We then focus on the Euclidean case and study how the difficulty of the p...

Cinar Ari, Robert Hildebrand · 0 citations

Preprint Sep 2026

Bounded Integer Quadratic Programming through Parallelepiped Covers and Discrete Convic Optimization

This work gives an exact algorithm for minimizing an arbitrary rational quadratic polynomial over the integer points of a bounded rational polyhedron and extends the method to arbitrary rational polyhedra.

Cinar Ari, Robert Hildebrand · 0 citations