The complexity of verifying popularity and strict popularity in altruistic hedonic games

IF 2 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Autonomous Agents and Multi-Agent Systems Pub Date : 2024-10-01 DOI:10.1007/s10458-024-09679-0

Anna Maria Kerkmann, Jörg Rothe

引用次数: 0

Abstract

We consider average- and min-based altruistic hedonic games and study the problem of verifying popular and strictly popular coalition structures. While strict popularity verification has been shown to be coNP-complete in min-based altruistic hedonic games, this problem has been open for equal- and altruistic-treatment average-based altruistic hedonic games. We solve these two open cases of strict popularity verification and then provide the first complexity results for popularity verification in (average- and min-based) altruistic hedonic games, where we cover all three degrees of altruism.

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利他主义享乐游戏中验证受欢迎程度和严格受欢迎程度的复杂性

我们考虑了基于平均数和最小数的利他主义对冲博弈，并研究了验证流行联盟结构和严格流行联盟结构的问题。在基于最小数的利他主义对冲博弈中，严格流行度验证已被证明是 coNP-complete，而在基于均值和利他待遇的利他主义对冲博弈中，这个问题却一直没有解决。我们解决了严格流行度验证的这两种开放情况，然后提供了（基于平均和最小）利他享乐博弈中流行度验证的第一个复杂性结果，其中我们涵盖了所有三种利他程度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Autonomous Agents and Multi-Agent Systems 工程技术-计算机：人工智能

CiteScore

6.00

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： This is the official journal of the International Foundation for Autonomous Agents and Multi-Agent Systems. It provides a leading forum for disseminating significant original research results in the foundations, theory, development, analysis, and applications of autonomous agents and multi-agent systems. Coverage in Autonomous Agents and Multi-Agent Systems includes, but is not limited to: Agent decision-making architectures and their evaluation, including: cognitive models; knowledge representation; logics for agency; ontological reasoning; planning (single and multi-agent); reasoning (single and multi-agent) Cooperation and teamwork, including: distributed problem solving; human-robot/agent interaction; multi-user/multi-virtual-agent interaction; coalition formation; coordination Agent communication languages, including: their semantics, pragmatics, and implementation; agent communication protocols and conversations; agent commitments; speech act theory Ontologies for agent systems, agents and the semantic web, agents and semantic web services, Grid-based systems, and service-oriented computing Agent societies and societal issues, including: artificial social systems; environments, organizations and institutions; ethical and legal issues; privacy, safety and security; trust, reliability and reputation Agent-based system development, including: agent development techniques, tools and environments; agent programming languages; agent specification or validation languages Agent-based simulation, including: emergent behavior; participatory simulation; simulation techniques, tools and environments; social simulation Agreement technologies, including: argumentation; collective decision making; judgment aggregation and belief merging; negotiation; norms Economic paradigms, including: auction and mechanism design; bargaining and negotiation; economically-motivated agents; game theory (cooperative and non-cooperative); social choice and voting Learning agents, including: computational architectures for learning agents; evolution, adaptation; multi-agent learning. Robotic agents, including: integrated perception, cognition, and action; cognitive robotics; robot planning (including action and motion planning); multi-robot systems. Virtual agents, including: agents in games and virtual environments; companion and coaching agents; modeling personality, emotions; multimodal interaction; verbal and non-verbal expressiveness Significant, novel applications of agent technology Comprehensive reviews and authoritative tutorials of research and practice in agent systems Comprehensive and authoritative reviews of books dealing with agents and multi-agent systems.