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Inverse Preference Optimization in the graph model for conflict resolution based on the Genetic Algorithm

GROUP DECISION AND NEGOTIATION 2021年第5期30卷 1085-1112页

作者： Tao, Liangyan Su, Xuebi Javed, Saad Ahmed Nanjing Univ Aeronaut & Astronaut Coll Econ & Management Nanjing 211106 Peoples R China Nanjing Univ Informat Sci & Technol Sch Business Nanjing 210044 Peoples R China

The Inverse GMCR (graph model for conflict resolution) produces rankings of possible states (preference relation profiles) that will make the desired resolution of a conflict stable. However, there are usually numerous preference relation profiles making it difficult for a third party to choose an appropriate preference relation to design its mediation strategy. Moreover, the cost or effort of changing preference relations over states has rarely been studied in Inverse GMCR. The current study presents two inverse preference optimization models considering the cost and effort in changing preferences to address these issues. The first model aims to ascertain an optimal preference at minimum adjustment cost such that the desired equilibrium is reached. The other model is to find an optimal required preference under minimum adjustment amount, which is defined as the difference between the required preference matrix and the original preference matrix. Then, a Genetic Algorithm (GA)-based algorithm is proposed. Finally, the two proposed preference optimization methods are applied to two cases, demonstrating the effectiveness of the proposed methodology.

关键词： Group decision and negotiation Inverse GMCR Preference optimization conflict resolution Genetic Algorithm graph model for conflict resolution

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The graph model for conflict resolution with consensus fuzzy preferences and its application to environmental sustainable development

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020年第5期39卷 6721-6731页

作者： Wu, Nannan Xu, Yejun Xu, Lizhong Wang, Huimin Nanjing Univ Informat Sci & Technol Sch Management Sci & Engn Nanjing Peoples R China Hohai Univ Business Sch Nanjing Peoples R China Hohai Univ Coll Comp & Informat Nanjing 211100 Peoples R China

conflict of environmental sustainable development as a common phenomenon can be seen everywhere in life. To capture consensus problems of decision makers (DMs) in conflict, a consensus and non-consensus fuzzy preference relation (FPR) matrix is proposed to the framework of the graph model for conflict resolution (GMCR). Concentrating on the case of two DMs within GMCR paradigm, four standard fuzzy solution concepts are developed into eight fuzzy stability definitions which can fully represent DMs' behavior characteristics of win-win and self-interested. To demonstrate how the novel GMCR methodology proposed in this paper can be conveniently utilized in practice, it is then applied to an environmental sustainable development conflict with two DMs. The results show that the general fuzzy equilibrium solutions are the intersection of consensus fuzzy equilibrium and non-consensus fuzzy equilibrium. Therefore, the GMCR technique considering DMs' consensus can effectively predict the various possible solutions of conflict development under different DMs' behavior preferences and provide new insights for analysts into a conflict.

关键词： graph model for conflict resolution consensus fuzzy preferences sustainable development

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General hypergame analysis within the graph model for conflict resolution

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE-OPERATIONS & LOGISTICS 2020年第1期7卷 18-33页

作者： Aljefri, Yasir M. Hipel, Keith W. Fang, Liping Univ Waterloo Dept Syst Design Engn Waterloo ON Canada Univ Jeddah Dept Ind Engn Dhahban Saudi Arabia Ctr Int Governance Innovat Waterloo ON Canada Balsillie Sch Int Affairs Waterloo ON Canada Ryerson Univ Dept Mech & Ind Engn Toronto ON M5B 2K3 Canada

To capture decision-makers' (DMs') various kinds of misperceptions in a conflict setting, a methodology is developed to improve hypergame analysis within the framework of the graph model for conflict resolution. This technique models and analyses DMs' different levels of perception in a real-life situation. It also handles a DM's misperception about itself as well as misperception about its opponents. A hypergame in graph form is a framework that consists of subjective hypergames, each of which illustrates a given DM's viewpoint of the hypergame situation. The universal sets of options and states for the hypergame, which include all possible perceptual options and states for the conflict, are used to construct each DM's subjective hypergame. To gain worthy strategic insights from the hypergame analysis, the overall hypergame equilibria are classified based on the types of misperceptions and the awareness of DMs into eight classes of resolutions.

关键词： Equilbria hypergames misperceptions graph model for conflict resolution perception

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A Novel Method for Eliminating Redundant Option Statements in the graph model for conflict resolution 20th

A Novel Method for Eliminating Redundant Option Statements i...

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20th International Conference on Group Decision and Negotiation (GDN)

作者： Zhao, Shinan Xu, Haiyan Jiangsu Univ Sci & Technol Sch Econ & Management Zhenjiang 212003 Jiangsu Peoples R China Nanjing Univ Aeronaut & Astronaut Coll Econ & Management Nanjing 211106 Peoples R China

ISBN: (纸本)9783030486402;9783030486419

The option prioritization is the most effective preference ranking approach within the framework of the graph model for conflict resolution, in which a set of option statements for each decision maker (DM) involved in a dispute is determined by individual judgments. Inevitably, some option statements may be unnecessary or redundant. To address the redundancy of option statements, a novel option statement reduction method as well as an effective reduction algorithm is developed in this research based on the rough set theory. Furthermore, the Elmira conflict is utilized to show how the proposed option statement reduction method can be employed for efficiently eliminating redundant option statements of DMs.

关键词： graph model for conflict resolution Option statements Redundancy Preference ranking

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The graph model for conflict resolution: Reflections on Three Decades of Development

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GROUP DECISION AND NEGOTIATION 2020年第1期29卷 11-60页

作者： Hipel, Keith W. Fang, Liping Kilgour, D. Marc Univ Waterloo Dept Syst Design Engn Waterloo ON N2L 3G1 Canada Balsillie Sch Int Affairs Waterloo ON N2L 6C2 Canada Ctr Int Governance Innovat Waterloo ON N2L 6C2 Canada Ryerson Univ Dept Mech & Ind Engn Toronto ON M5B 2K3 Canada Wilfrid Laurier Univ Dept Math Waterloo ON N2L 3C5 Canada

The fundamental design and inherent capabilities of the graph model for conflict resolution (GMCR) to address a rich range of complex real world conflict situations are put into perspective by tracing its historical development over a period spanning more than 30 years, and highlighting great opportunities for meaningful future expansions within an era of artificial intelligence (AI) and intensifying conflict in an over-crowded world. By constructing a sound theoretical foundation for GMCR based upon assumptions reflecting what actually occurs in reality, a fascinating story is narrated on how GMCR was able to expand in bold new directions as well as take advantage of many important legacy decision technologies built within the earlier Metagame Analysis and later conflict Analysis paradigms. From its predecessors, for instance, GMCR could benefit by the employment of option form put forward within Metagame Analysis for effectively recording a conflict, as well as preference elicitation techniques and solution concepts for defining chess-like behavior when calculating stability of states from the realm of conflict Analysis. The key ideas outlined in the paper underlying the current and projected capabilities of GMCR include the development of four different ways to handle preference uncertainty in the presence of either transitive or intransitive preferences;a wide range of solution concepts for describing many kinds of human behavior under conflict;unique coalition analysis algorithms for determining if a given decision maker can fare better in a dispute via cooperation;tracing the evolution of a conflict over time;and the matrix formulation of GMCR for computational efficiency when calculating stability and also theoretically expanding GMCR in bold new directions. Inverse engineering is mentioned as an AI extension of GMCR for computationally determining the preferences required by decision makers in order to reach a desirable state, such as a climate change agreem

关键词： Climate change conflict Analysis Decision support system graph model for conflict resolution Metagame Analysis Preference Stability

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A strategic conflict analysis in IT outsourcing using the graph model for conflict resolution

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JOURNAL OF ENTERPRISE INFORMATION MANAGEMENT 2020年第6期33卷 1581-1598页

作者： Silva, Maisa Mendonca Poleto, Thiago de Gusmao, Ana Paula Henriques Costa, Ana Paula Cabral Seixas Univ Fed Pernambuco Dept Management Engn Recife PE Brazil Univ Fed Para Dept Business Adm Belem Para Brazil Univ Fed Sergipe Dept Management Engn Aracaju Brazil

Purpose The purpose of this paper is to propose a strategic conflict analysis, based on the graph model for conflict resolution (GMCR), that is applied to information technology outsourcing (ITO) in a real-world software development and implementation process in Brazil. Design/methodology/approach Because the idea of this study is to answer "why" the ITO conflicts occur and "how" they can be avoided, the case study methodology was adopted. The software GMCR II was used to analyze the interactions between an IT vendor and an IT client. Findings The results suggest that a lack of relational governance is a critical issue that could be handled to improve the interaction between those involved. Research limitations/implications The main results are restricted to the case study and cannot be generalized. Moreover, a specific limitation of this paper pertains to the use of the GMCR and the consequent difficulty for IT vendors and IT clients to work with a large number of actions and to set preferences for several states of conflict. Practical implications The strategic analysis of outsourcing conflicts provides a holistic view of the current situation that may assist the client and vendor in future decisions and identify guidelines to ensure successful ITO. Therefore, this paper provides an effective guide for clients and vendors to better manage conflicts and establish a contingency vision to avoid such disputes. Originality/value The ITO conflict is analyzed using the GMCR, considering both perspectives of the outsourcing process (vendors and clients).

关键词： IT outsourcing Strategic conflict analysis graph model for conflict resolution

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Military Game Analysis Based on the graph model for conflict resolution

Military Game Analysis Based on the Graph Model for Conflict...

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第33届中国控制与决策会议

作者： Bin Zhao Bingfeng Ge Yuming Huang Zeqiang Hou Kewei Yang College of Systems Engineering National University of Defense Technology

The purpose of military game is to get strategic advantages through military negotiation even *** the initiative and achieving strategic goals in a military game require scientific analysis and informed ***,due to the limitation of clear and complete information available for military game(especially at the strategic level),the most existing methods for the analysis of military game relying on the experience of commanders or experts are too ***,the graph model for conflict resolution is presented to perform the modeling and analysis of military *** specifically,the mappings of key elements between the graph model and military game are first ***,a stability analysis process and an evolution analysis process are applied to analyze the potential resulting outcomes,the possible evolutions of game,and the key situations through the game by considering various solution ***,the Battle of Baghdad is applied as an example to verify the feasibility and practicability of the proposed method,which proves that it can provide strategic insights and constructive decision-makings for the military game.

关键词： graph model for conflict resolution Military Game Battlefield Situation Battle of Baghdad

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graph model for conflict resolution in the Information Sharing conflict of the Fourth Party Logistics 29

Graph Model for Conflict Resolution in the Information Shari...

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第29届中国控制与决策会议

作者： Di Liu Hanbin Kuang Min Huang College of Information Science and Engineering Northeastern University

ISBN: (纸本)9781509046584

With the rapid development of modern logistics industry,the fourth-party logistics develops as an integrator of supply chain services for *** the same time,information sharing conflict arises among the fourth-party logistics,the third-party logistics,customers and local government,because the third-party logistics may still be hesitant to share information with the fourth-party *** methodology of the graph model for conflict resolution is used to systematically analyze the information sharing *** makers and the options of the decision makers involved in the conflict are provided in this *** the preferences for decision makers over the states of the conflict model are analyzed and then the equilibria for the model are calculated by using the decision support system *** that,a through strategy analysis reveals the potential evolution path of the conflict and the important decision strategy for the fourth-party logistics and the local government.

关键词： graph model for conflict resolution Status Quo Analysis Supply Chain Management the Third-Party logistics the Fourth-Party logistics Stability Analysis

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Strategic analysis of a brownfield revitalization conflict using the grey-based graph model for conflict resolution

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EURO JOURNAL ON DECISION PROCESSES 2015年第3-4期3卷 219-248页

作者： Kuang, Hanbin Abul Bashar, M. Kilgour, D. Marc Hipel, Keith W. Northeastern Univ Coll Informat Sci & Engn State Key Lab Synthet Automat Proc Ind Shenyang 110819 Liaoning Peoples R China Univ Waterloo Dept Syst Design Engn Waterloo ON N2L 3G1 Canada Wilfrid Laurier Univ Dept Math Waterloo ON N2L 3C5 Canada Ctr Int Governance Innovat Waterloo ON N2L 6C2 Canada

A definition of grey preference, based on grey numbers, is incorporated into a multiple decision-maker graph model for conflict resolution, to model human behaviour in a strategic conflict featuring uncertainty-in this case, a dispute arising over brownfield redevelopment. To analyse a strategic conflict, the relative preferences of each decision maker over all feasible states are required for a stability analysis. However, because of incomplete information, cognitive limitations of decision makers, the interplay of stakeholders and sheer complexity, it can be hard to capture accurately the preferences of all decision makers across all possible scenarios or states. Moreover, analysis is difficult when more than two decision makers are involved, as coordinated moves against a focal decision maker must be taken into account when identifying stable states. In this paper, a grey preference structure is used to represent decision makers' uncertain preferences in a graph model. Then two types of grey stability (grey Nash stability and grey sequential stability) and corresponding equilibria are calculated for a model of a brownfield redevelopment conflict that occurred in Kitchener, Ontario, Canada.

关键词： Grey preference graph model for conflict resolution Multiple decision makers Brownfield redevelopment

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Option Prioritization for Three-Level Preference in the graph model for conflict resolution 15

Option Prioritization for Three-Level Preference in the Grap...

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15th International Conference on Group decision and negotiation (GDN)

作者： Hou, Yuhang Jiang, Yangzi Xu, Haiyan Nanjing Univ Aeronaut & Astronaut Coll Econ & Management Nanjing Jiangsu Peoples R China Univ Waterloo Dept Management Sci Waterloo ON N2L 3G1 Canada

ISBN: (纸本)9783319195155;9783319195148

A three-level preference (or called strength of preference) ranking structure based on option prioritization is developed within the paradigm of the graph model for conflict resolution. In a strategic conflict, a decision maker usually controls various courses of actions which are referred to as options. An option-based preference structure could efficiently model preferences under a complex conflict situation. There are three preference representations in a graph model for simple preference (or two-level preference), including Option Weighting, Direct Ranking, and Option Prioritizing in which the Option Prioritizing approach is the most effective. Therefore, the Option Prioritizing approach is extended to three-level preference from the two levels of preference in this paper. This proposed approach is more effective and convenient for modeling preference and is easy to implement into a decision support system. A specific case study is provided to show how three-level preference is calculated using the proposed approach.

关键词： Option-based preference Option prioritizing Three-level preference graph model for conflict resolution Decision makers

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