Benchmarking of Problems and Solvers: a Game-Theoretic Approach

In this note, we propose a game-theoretic approach for benchmarking computational problems and their solvers. The approach takes an assessment matrix as a payoff matrix for some zero-sum matrix game in which the first player chooses a problem and the second player chooses a solver. The solution in m...

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Bibliographic Details
Main Author: Gogodze Joseph
Format: Article
Language:English
Published: Sciendo 2019-06-01
Series:Foundations of Computing and Decision Sciences
Subjects:
Online Access:https://doi.org/10.2478/fcds-2019-0008
Description
Summary:In this note, we propose a game-theoretic approach for benchmarking computational problems and their solvers. The approach takes an assessment matrix as a payoff matrix for some zero-sum matrix game in which the first player chooses a problem and the second player chooses a solver. The solution in mixed strategies of this game is used to construct a notionally objective ranking of the problems and solvers under consideration. The proposed approach is illustrated in terms of an example to demonstrate its viability and its suitability for applications.
ISSN:2300-3405