Consensus building and the Graph Model for Conflict Resolution

Author

Inohara, Takehiro

Author_Institution

Dept. of Value & Decision Sci., Tokyo Inst. of Technol., Tokyo, Japan

fYear

2010

fDate

10-13 Oct. 2010

Firstpage

2841

Lastpage

2846

Abstract

Consensus building in group decision situations is analyzed within the framework of the Graph Model for Conflict Resolution (GMCR). A group decision situation and consensus in the situation are treated in a mathematical framework for the analysis of committees with permissible ranges of decision makers, and stability and unstability of consensus and non-consensus states are examined within the framework of the GMCR. Consequently, the followings are verified: i) all consensus states are Nash stable for all DMs; ii) the state in which each DM agrees only to his/her best alternative is a non-consensus state and is Nash stable for all DMs, but unstable for all DMs with respect to coalition Nash stability; iii) each of the other non-consensus states is not sequentially stable for at least one DM. Then, some insights on the processes for achieving consensus in group decision situations are provided.

Keywords

decision making; game theory; graph theory; Nash stability; conflict resolution; consensus building; graph model; group decision situations; Artificial intelligence; Buildings; Delta modulation; Games; Helium; Coalition Nash Stability; Committees with Permissible Ranges; Consensus Building; Group Decision; Nash Stability; Negotiation; Sequential Stability; The Graph Model for Conflict Resolution;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Man and Cybernetics (SMC), 2010 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1062-922X

Print_ISBN

978-1-4244-6586-6

Type

conf

DOI

10.1109/ICSMC.2010.5641917

Filename

5641917