Soft Games

TL;DR

This paper introduces soft games based on soft set theory, proposing solution methods like soft saddle points and Nash equilibrium, and extends the concept to n-person scenarios with real-world applications.

Contribution

It defines two-person soft games, introduces four solution methods, and extends the framework to n-person soft games, addressing vagueness and uncertainty in strategic interactions.

Findings

Methods successfully applied to a financial problem

Four solution techniques demonstrated effectiveness

Extended to n-person soft games

Abstract

In this work, after given the definition of soft sets and their basic operations we define two person soft games which can apply to problems contain vagueness and uncertainty. We then give four solution methods of the games which are soft saddle points, soft lover and soft upper values, soft dominated strategies and soft Nash equilibrium. We also give an example from the real world which shows that the methods can be successfully applied to a financial problem. Finally, we extended the two person soft games to n-person soft games.