A Three-Valued Semantics for Negotiated Situation of Multi-Agent System Based on BATNA and WATNA

Yang Song, Ken Satoh

2024

Abstract

Negotiation plays a crucial role in the dispute resolution systems. In the negotiation, the agents usually need to compromise with each other because their preferences are different. To provide the best or acceptable suggestion in the negotiation, BATNA (Best Alternative To a Negotiated Agreement) and WATNA (Worst Alternative To a Negotiated Agreement) can be a method to express the preference of each agent. In this paper, our aim is to formalize the negotiated situations of multi-agent system in a logical method based on BATNA and WATNA. We consider each given suggestion as a possible world in modal logic, and provide a 3-valued valuation based on Gödel logic to judge whether a suggestion is over the BATNA, below the WATNA, or between the BATNA and WATNA of each agent, which is to show whether the suggestion is acceptable, rejectable or undecided to the agent. Moreover, by using the modal operator we can check whether there exists a best or acceptable suggestion for all agents in a negotiated situation.

Paper Citation

in Harvard Style

Song Y. and Satoh K. (2024). A Three-Valued Semantics for Negotiated Situation of Multi-Agent System Based on BATNA and WATNA. In Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART; ISBN 978-989-758-680-4, SciTePress, pages 333-340. DOI: 10.5220/0012394200003636

in Bibtex Style

@conference{icaart24,
author={Yang Song and Ken Satoh},
title={A Three-Valued Semantics for Negotiated Situation of Multi-Agent System Based on BATNA and WATNA},
booktitle={Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART},
year={2024},
pages={333-340},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012394200003636},
isbn={978-989-758-680-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 16th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART
TI - A Three-Valued Semantics for Negotiated Situation of Multi-Agent System Based on BATNA and WATNA
SN - 978-989-758-680-4
AU - Song Y.
AU - Satoh K.
PY - 2024
SP - 333
EP - 340
DO - 10.5220/0012394200003636
PB - SciTePress