Strategic Facility Location with Clients That Minimize Total Waiting Time
Authors: Simon Krogmann, Pascal Lenzner, Alexander Skopalik
AAAI 2023 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | We show that our client stage is an atomic splittable congestion game, which implies existence, uniqueness and efficient computation of a client equilibrium. Therefore, facility agents can efficiently predict client behavior and make strategic decisions accordingly. Despite that, we prove that subgame perfect equilibria do not exist in all instances of this game and that their existence is NP-hard to decide. On the positive side, we provide a simple and efficient algorithm to compute 3-approximate subgame perfect equilibria. |
| Researcher Affiliation | Academia | 1 Hasso Plattner Institute, University of Potsdam 2 Department of Applied Mathematics, University of Twente simon.krogmann@hpi.de, pascal.lenzner@hpi.de, a.skopalik@utwente.nl |
| Pseudocode | Yes | Algorithm 1: Approximate Best Response Dynamics |
| Open Source Code | No | The paper does not contain any statements or links indicating that the source code for the described methodology is publicly available. |
| Open Datasets | No | This is a theoretical paper that does not involve training models on datasets, therefore no public dataset information is provided. |
| Dataset Splits | No | This is a theoretical paper that does not involve empirical validation on data splits, therefore no validation split information is provided. |
| Hardware Specification | No | This is a theoretical paper that does not report on empirical experiments, therefore no hardware specifications are provided. |
| Software Dependencies | No | This is a theoretical paper that does not provide details on specific software dependencies with version numbers, as it does not describe empirical experiments requiring them. |
| Experiment Setup | No | This is a theoretical paper that does not describe empirical experiments, therefore no experimental setup details like hyperparameters are provided. |