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- R. Kipp Martin, Christopher Thomas Ryan, Matt Stern
- SIAM Journal on Optimization
- 2016

Duality theory is pervasive in finite dimensional optimization. There is growing interest in solving infinite-dimensional optimization problems and hence a corresponding interest in duality theory in… (More)

- Matthias Köppe, Christopher Thomas Ryan, Maurice Queyranne
- Operations Research
- 2011

We explore the computational complexity of computing pure Nash equilibria for a new class of strategic games called integer programming games with difference of piecewise linear convex payoffs.… (More)

We propose a non-asymptotic approach to analyze kidney exchange that builds on the random graph model of kidney exchange introduced in Ashlagi, Garmarnik, Rees and Roth's "The need for (long) chains… (More)

Jeroslow and Lowe gave an exact geometric characterization of subsets of R that are projections of mixed-integer linear sets, a.k.a MILP-representable sets. We give an alternate algebraic… (More)

We analyze the complexity of computing pure strategy Nash equilibria (PSNE) in symmetric games with a fixed number of actions. We restrict ourselves to "compact" representations, meaning that the… (More)

- Rongzhu Ke, Christopher Thomas Ryan
- 2017

4 Principal-agent models are pervasive in theoretical and applied economics, but their analysis 5 has largely been limited to the “first-order approach” (FOA) where incentive compatibility is 6… (More)

- Amitabh Basu, R. Kipp Martin, Christopher Thomas Ryan
- Math. Program.
- 2017

Finite-dimensional linear programs satisfy strong duality (SD) and have the “dual 8 pricing” (DP) property. The (DP) property ensures that, given a sufficiently small perturbation of 9 the… (More)

Finite-dimensional linear programs satisfy strong duality (SD) and have the “dual 8 pricing” (DP) property. The (DP) property ensures that, given a sufficiently small perturbation of 9 the… (More)

- Muhammad O Chohan, Christopher Thomas Ryan, +5 authors Philip H. Gutin
- Neurosurgery
- 2017

BACKGROUND
Recurrence rates for atypical and anaplastic meningiomas range between 9% and 50% after gross total resection and between 36% and 83% after subtotal resection. Optimal treatment of… (More)

- Amitabh Basu, R. Kipp Martin, Christopher Thomas Ryan
- Oper. Res. Lett.
- 2014

We consider semi-infinite linear programs with countably many constraints indexed by the natural numbers. When the constraint space is the vector space of all real valued sequences, we show that the… (More)