Value Solutions in Cooperative Games

McCain, Roger

Value Solutions in Cooperative Games

in World Scientific Books from World Scientific Publishing Co. Pte. Ltd.

Abstract: This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered.

Keywords: Cooperative Games; Value; Imputation; Bargaining Theory (search for similar items in EconPapers)
Date: 2013
ISBN: 9789814417396
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Chapters in this book:

Ch 1 Value Solutions for Superadditive Transferable Utility Games in Coalition Function Form , pp 1-19: Roger McCain
Ch 2 Zeuthen–Nash Bargaining , pp 21-38: Roger McCain
Ch 3 Nontransferable Utility Games and Games in Partition Function Form , pp 39-62: Roger McCain
Ch 4 A Shapley Value Algorithm for Games in Partition Function Form , pp 63-83: Roger McCain
Ch 5 Extension of the Nucleolus to Nontransferable Utility Games in Partition Function Form , pp 85-103: Roger McCain
Ch 6 A Core Imputation with Variable Bargaining Power , pp 105-128: Roger McCain
Ch 7 Bargaining Power Biform Games , pp 129-153: Roger McCain
Ch 8 Intertemporal Cooperative Games: A Sketch of a Theory , pp 155-181: Roger McCain
Ch 9 A Theory of Enterprise , pp 183-215: Roger McCain

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