A Lower Bound of 1 + φ for Truthful Scheduling Mechanisms 1st Edition by Elias Koutsoupias, Angelina Vidali ISBN 9783540744566

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ISBN 10: 
ISBN 13: 9783540744566
Author: Elias Koutsoupias, Angelina Vidali

We give an improved lower bound for the approximation ratio of truthful mechanisms for the unrelated machines scheduling problem. The mechanism design version of the problem which was proposed and studied in a seminal paper of Nisan and Ronen is at the core of the emerging area of Algorithmic Game Theory. The new lower bound 1 + φ ≈ 2.618 is a step towards the final resolution of this important problem.

A Lower Bound of 1 + φ for Truthful Scheduling Mechanisms 1st Table of contents:

• Preliminaries
  2.1 Truthful Mechanisms
  2.2 Scheduling Problems
  2.3 Approximation Algorithms
  2.4 The Golden Ratio (φ) and its Relevance

• Related Work
  3.1 Mechanism Design for Scheduling
  3.2 Lower Bounds in Algorithmic Game Theory
  3.3 Truthful Mechanisms and Approximation Ratios

• Problem Formulation
  4.1 Definition of the Scheduling Model
  4.2 Assumptions and Constraints
  4.3 Formal Problem Statement

• Main Results
  5.1 The 1 + φ Lower Bound
  5.2 Proof of the Lower Bound
  5.3 Implications for Truthful Scheduling Mechanisms

• Constructing Truthful Scheduling Mechanisms
  6.1 Mechanism Design Framework
  6.2 Detailed Algorithm Construction
  6.3 Analysis of Truthfulness and Efficiency

• Experimental Results
  7.1 Simulation Setup
  7.2 Comparison with Existing Mechanisms
  7.3 Evaluation of Performance

• Discussion and Future Work
  8.1 Insights from the Lower Bound
  8.2 Open Problems and Challenges
  8.3 Directions for Future Research

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