# Quantum Game Theory

#### Overview

Quantum game theory is a branch of game theory that incorporates the principles of quantum mechanics into the analysis of strategic interactions between players. It explores how quantum effects and strategies can influence the outcomes of games and potentially provide advantages which cannot be achieved in classical games. In classical game theory, players make decisions based on classical strategies, which are deterministic and independent of each other. However, in quantum game theory, players can employ quantum strategies, which take advantage of quantum properties such as superposition and entanglement. A quantum game is a game where the strategies and outcomes are described using quantum mechanics. In these games, players can use quantum strategies, represented by quantum states, to make their decisions. The outcomes of the game are determined by measuring the resulting quantum state after players’ actions.

#### Our interests

In our group we are interested in quantising classical games to develop quantum analogues without unfair strategic loopholes or pathological artefacts. These quantum analogous games could be applied to next-generation economics paradigms whereby trading occurs through a quantum stock market; immune to the boom and bust cycles which tend to plague the classical market.