A quantum-like view to a generalized two players game

TL;DR

This paper explores a quantum-inspired model for a two-player decision game, where environmental interactions influence outcomes more than initial mental states, offering an analytically solvable framework.

Contribution

It introduces a quantum-like dynamical model for decision making in two-player games, emphasizing environmental effects and providing analytical solutions.

Findings

Decisions are mainly driven by environment, not initial states.

The model allows analytical solutions of the decision dynamics.

Interactions of different natures are incorporated into the framework.

Abstract

This paper consider the possibility of using some quantum tools in decision making strategies. In particular, we consider here a dynamical open quantum system helping two players, $\G_1$ and $\G_2$, to take their decisions in a specific context. We see that, within our approach, the final choices of the players do not depend in general on their initial {\em mental states}, but they are driven essentially by the environment which interacts with them. The model proposed here also considers interactions of different nature between the two players, and it is simple enough to allow for an analytical solution of the equations of motion.