No abstract

Abstract. In this paper we present a result about Peleg's theory of coalition formation in dominated simple games (Peleg 1981). Further, a connection between Peleg's theory and Riker's minimum size theory (Riker 1962, Riker and Ordeshook 1973) is established. This connection leads to a new theory of coalition formation in simple games.

Abstract.In this paper we analyze four national elections held in 1982, 1986, 1989 and 1994 in the Netherlands on the occurrence of the Condorcet paradox. In addition, we investigate these elections on the occurrence of three so-called majority-plurality paradoxes. The first paradox states that a party having a majority over another party may receive less seats. The second states that a Condorcet winner may not receive the largest number of seats and even may not receive a seat at all. The third says that the majority relation may be the reverse of the ranking of parties in terms of numbers of seats.

A solution concept is introduced that is able to deal with cyclic relations. The concept is a generalization of the Von Neumann-Morgenstern solution concept of stable set and is therefore called the concept of generalized stable set. Its point of departure is the transitive closure of an asymmetric relation. A characterization theorem and an existence theorem are presented.

Taylor & Francis makes every effort to ensure the accuracy of all the information (the "Content") contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. Taylor and Francis shall not be liable for any losses, actions, claims, proceedings, demands, costs, expenses, damages, and other liabilities whatsoever or howsoever caused arising directly or indirectly in connection with, in relation to or arising out of the use of the Content.