# Quantum Negotiation Games: Toward Ethical Equilibria

**Authors:** Remigiusz Smoliński, Piotr Frąckiewicz, Krzysztof Grzanka, Marek Szopa

PMC · DOI: 10.3390/e28010051 · Entropy · 2025-12-31

## TL;DR

This paper explores how quantum game theory can help resolve ethical dilemmas in negotiations by enabling fairer and more cooperative outcomes.

## Contribution

The paper introduces quantum game theory to ethical negotiation dilemmas, showing how quantum strategies can stabilize ethical equilibria.

## Key findings

- Quantum strategies enable cooperative and fair outcomes as stable equilibria in negotiation games.
- Quantum formulations allow ethical principles to coexist with efficiency in ways classical models cannot.
- Entanglement and superposition in quantum games support honesty and equity as stable solutions.

## Abstract

This paper applies quantum game theory to three ethical dilemmas that frequently arise in negotiation: cooperation versus competition, self-interest versus equity, and honesty versus deception. Using quantum extensions of selected games such as the Prisoner’s Dilemma, the Ultimatum Game, the Battle of the Sexes, and the Buyer–Seller Game, we examine whether quantization can generate equilibria that improve classical outcomes while also aligning more closely with ethical principles such as fairness, cooperation, and honesty. The analysis shows that quantum strategies, through entanglement and superposition, can sustain cooperative, fair, or honest behaviour as stable equilibria, outcomes that are typically unstable or unattainable in classical settings. The specific outcomes depend on the chosen quantization method, but across cases, the analysis consistently shows that quantum formulations expand the range of solutions in which efficiency and ethical principles co-exist.

## Full text

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## Figures

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## References

48 references — full list in the complete paper: https://tomesphere.com/paper/PMC12839691/full.md

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Source: https://tomesphere.com/paper/PMC12839691