Quantum information approach to the ultimatum game

TL;DR

This paper critiques existing quantum ultimatum game models and proposes a new quantum scheme for extensive games, aiming to improve the conceptual framework and quantization protocol.

Contribution

It introduces a novel quantum ultimatum game model and a new protocol for quantizing extensive games, addressing limitations of previous approaches.

Findings

Current quantum ultimatum game models are inadequate.

The proposed scheme offers a more consistent quantization protocol.

The new approach clarifies the conceptual foundations of quantum extensive games.

Abstract

The paper is devoted to quantization of extensive games with the use of both the Marinatto-Weber and the Eisert-Wilkens-Lewenstein concept of quantum game. We revise the current conception of quantum ultimatum game and we show why the proposal is unacceptable. To support our comment, we present the new idea of the quantum ultimatum game. Our scheme also makes a point of departure for a protocol to quantize extensive games.