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Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
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The Robust Weighted Multi-Objective Game.

Shaojian Qu1, Ying Ji2, Mark Goh3

  • 1Business School, University of Shanghai for Science and Technology, Shanghai, P.R. China; The Logistics Institute-Asia Pacific, National University of Singapore, Singapore, Singapore.

Plos One
|September 26, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces a robust weighted approach for multi-objective games where players have competing goals. A new equilibrium concept, the robust weighted Nash equilibrium, is defined and its existence is proven.

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Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
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Area of Science:

  • Game Theory
  • Decision Sciences
  • Mathematical Economics

Background:

  • Traditional game theory often assumes precise objective weights.
  • Multi-objective games involve players with multiple, potentially conflicting, goals.
  • Existing equilibrium concepts may not fully capture uncertainty in objective preferences.

Purpose of the Study:

  • To develop a robust weighted approach for n-person non-zero sum games with multiple objectives.
  • To introduce and analyze a new equilibrium concept that accounts for uncertainty in player weights.
  • To establish the existence of this novel equilibrium under defined conditions.

Main Methods:

  • Modeling multi-objective games where players assign a set of weights to their objectives.
  • Defining a robust weighted Nash equilibrium concept based on minimizing maximum weighted objectives.
  • Proving the existence of the robust weighted Nash equilibrium using assumptions on multi-objective payoffs.

Main Results:

  • A novel robust weighted multi-objective game model is presented.
  • The concept of robust weighted Nash equilibrium is formally defined.
  • The existence of the robust weighted Nash equilibrium is demonstrated.

Conclusions:

  • The robust weighted approach provides a framework for analyzing games with uncertain objective preferences.
  • The robust weighted Nash equilibrium offers a more realistic solution concept for complex multi-objective decision-making.
  • The findings contribute to the theoretical understanding of non-zero sum games with multiple competing objectives.