Theories of Coalition Formation


Book Description

First published in 1984. In this book, the authors set forth the central ideas and results of the major theories of coalition forming behavior. These theories address situations of partial conflict of interest with the following aspects: (1) there are three or more players, (2) players may openly communicate with each other, and (3) players form coalitions by freely negotiating agreements on how to disburse the gains that result from the coalition members’ joint coordinated efforts. These models arise from the two disciplines of mathematics, in the theory of cooperative n-person games with side payments, and social psychology, in theories of small group behavior in mixed-motive situations. The goal is to explore the various solution concepts that make up this body of theory, and in particular to examine the psychological premises that underlie the various theoretical models.













Coalition Formation by Sophisticated Players


Book Description

The three major aims of the present study were to (a) test some of the major game-theoretic solutions for n-person games in characteristic function form with data obtained from "rational" players; (b) locate, assess, and explain differences between sophisticated and naive subjects in coalition frequencies and payoff disbursements; and (c) provide a common data base for bargaining process analyses and testing of both present and future models. To this end, five quartets of subjects each partici pated in 16 different coalition formation tasks presented as computer-controlled, four-person, characteristic function games with sidepayments. All 20 subjects (a) were relatively mathematically sophisticated, (b) were familiar with the major solution concepts for characteristic function games, (c) could safely assume that their co-players were equally sophisticated and knowledgeable, and (d) possessed a high motivation to maximize reward. The results showed that (a) sophisticated players are less restricted than naive players in coalition choice, (b) their payoffs are less variable and less ~galitarian, (c) these differences between the two populations of sub jects increase with the complexity of the game, and (d) for III the four-person, mDstly non-superadditive games played in the present experiment, the bargaining set M~i) accounts more accurately for payoff disbursements than do the competitive bargaining set H~i), the kernel K, and Selten's equal share analysis.




Experimental Studies of Interactive Decisions


Book Description

This book is about the interplay of theory and experimentation on group decision making in economics. The theories that the book subjects to experimental testing mostly come from the theory of games. The decisions investigated in the book mostly concern economic interaction like strict competition. two-person bargaining. and coalition formation. The underlying philosophy of the articles collected in this book is consistent with the opinion of a growing number of economists and psychologists that economic issues cannot be understood fully just by thinking about them. Rather. the interplay between theory and experimentation is critical for the development of economics as an observational science (Smith. 1989). Reports of laboratory experiments in decision making and economics date back more than thirty years (e.g .• Allais. 1953; Davidson. Suppes. and Siegel. 1957; Flood. 1958; Friedman. 1%3; Kalisch. Milnor. Nash. and Nering. 1954; Lieberman. 1%0; Mosteller and Nogee. 1951; Rapoport. Chammah. Dwyer. and Gyr. I %2; Siegel and Fouraker. I %0; Stone. 1958). However. only in the last ten or fifteen years has laboratory experimentation in economics started its steady transformation from an occasional curiosity into a regular means for investigating various economic phenomena and examining the role of economic institutions. Groups of researchers in the USA and abroad have used experimental methods with increasing sophistication to attack economic problems that arise in individual decision making under risk. two-person bargaining.




Partition Function Form Games


Book Description

This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.