Analysis and applications of a bridge game

Abstract

Game theory has recently drawn the attention of researchers from various research communities due to its diverse applications, which include modelling of real-world scenarios. The paper presented here introduces a bridge game for two players and analyses their interactions. The proposed work demonstrates that the payoffs of the players and the outcomes of the game are affected by the nature of the opponent. Furthermore, the presented work demonstrates that the outcome of the game is dependent on insufficient prior knowledge about the respective opponents. The paper emphasises and illustrates how the payoffs of the players change as the strategy mixing probabilities change. The paper also redefines the problem by concealing the identity of the opponent and analyses it using the Bayesian game model. The players’ behavioural changes over time are also mathematically analysed. Furthermore, the paper emphasises that strategies can be improved by learning and gaining information based on available data. The bridge game’s applications in real-world scenarios are also demonstrated in the paper. The paper focuses on the game’s applications in dealing with security issues in communication systems and race conditions in operating systems. To the best of our knowledge, no scientific study has ever examined bridge games by examining the behaviour of the players. There is no existing literature that shows how games can be used to model real-world scenarios. This presented work also establishes four theorems.