A relation-algebraic approach to simple games

作者：Berghammer Rudolf; Bolus Stefan; Rusinowska Agnieszka^*; de Swart Harrie

来源：European Journal of Operational Research, 2011, 210(1): 68-80.

DOI：10.1016/j.ejor.2010.09.006

• Relation algebra
• REL VIEW
• Simple game
• Winning coalition
• Dominant player
• Central player

Simple games are a powerful tool to analyze decision-making and coalition formation in social and political life. In this paper, we present relation-algebraic models of simple games and develop relational specifications for solving some basic problems of them. In particular, we test certain fundamental properties of simple games and compute specific players and coalitions. We also apply relation algebra to determine power indices. This leads to relation-algebraic specifications, which can be evaluated with the help of the BOO-based tool REI, VIEW after a simple translation into the tool's programming language. In order to demonstrate the visualization facilities of EEL VIEW we consider an example of the Catalonian Parliament after the 2003 election.

• 出版日期2011-4-1