Abstract

In multi-strategy games, the increase in the number of strategies makes it difficult to make a solution. To maintain the competition advantage and obtain maximal profits, one side of the game hopes to predict the opponent’s behavior. Building a model to predict an opponent’s behavior is helpful. In this paper, we propose a rough set-game theory model (RS-GT) considering uncertain information and the opponent’s decision rules. The uncertainty of strategies is obtained based on the rough set method, and an accurate solution is obtained based on game theory from the rough set-game theory model. The players obtain their competitors’ decision rules to predict the opponents’ behavior by mining the information from repeated games in the past. The players determine their strategy to obtain maximum profits by predicting the opponent’s actions, i.e., adopting a first-mover or second-mover strategy to build a favorable situation. The result suggests that the rough set-game theory model helps enterprises avoid unnecessary losses and allows them to obtain greater profits.

Highlights

  • The influence of preference on the decision is a research hotspot of rational choice theory

  • Game theory is a modern branch of intelligent optimization for studying conflicts and cooperation among rational decision makers [18,19]

  • We propose the model in which the players collect and mine the historical information from repeated games to obtain the opponents’ decision rules

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Summary

Introduction

The influence of preference on the decision is a research hotspot of rational choice theory. Rough set can obtain the opponent’s decision-making rules, while they cannot give an exact solution. To solve this problem, we should consider the game theory method. The players obtain the competitors’ decision rules by the rough set method from the information of previous, repeated games. Rough set can obtain the opponent’s decision-making rules, but it cannot give an exact solution. The rough set mines uncertainty information to obtain the opponents’ decision rules, which are used to predict the opponent’s action. This method is dependent on objective real data to usefully avoid the interference of subjective factors.

Preliminaries
Rough Set
Game Theory
The Features of Complete and Incomplete Information in Rough Set
The Representation of Information in Rough Set
Rough Set-Game Theory Model in the Situation of Strategic Uncertainty
Numerical Analysis
Conclusions
Full Text
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