This book deals with two- and three-person bargaining games in characteristic function form and presents two new descriptive theories, the Negotiation Agreement Area and the Proportional Division Payoff Bounds (PDPB). The evaluation of data for two-person games leads to a new descriptive theory called Negotiation Agreement Area which combines the influence of power and justice norms. The main emphasis of the book is on a new descriptive theory for three-person games, the PDPB. Comparison with other theories on the basis of 3088 plays of different games shows that the PDPB are significantly more successful in prediction than other theories. The PDPB concept is a modification and extension of Selten's Equal Division Payoff Bounds. The determination of the bounds is based on general principles and not on the estimation of parameters. From aspiration levels which depend on power, justice norms, and other reasonable principles the negotiation process leads to a proportional division of the prize.
1. Introduction.- 2. Notations and Definitions of Characteristic Function Games.- 2.1 Measurement of Predictive Success.- 2.2 Prominence Level.- 3. Two-Person Bargaining Games.- 3.1 Programs for Computer-Controlled Two-Person Bargaining Games.- 3.1.1 System Requirements.- 3.1.2 The Two-Person Bargaining Master-Program.- 3.1.3 The Two-Person Bargaining Terminal-Program.- 3.2 Experimental Design.- 3.2.1 Experimental Procedure.- 3.2.2 The Data Base.- 3.3 The Negotiation Agreement Area.- 3.3.1 Power, Justice Norms and Aspirations.- 3.3.2 A Descriptive Theory.- 3.4 Evaluation of Two Pilot Experiments.- 3.4.1 General Results.- 3.4.2 Comparison of Different Point-Solution Concepts.- 3.4.3 Comparison of Different Area Theories.- 3.5 Summary on Two-Person Games.- 4. Three-Person Bargaining Games.- 4.1 Programs for Computer-Controlled Three-Person Bargaining Games.- 4.1.1 System Requirements.- 4.1.2 The Three-Person Bargaining Master-Program.- 4.1.3 The Three-Person Bargaining Terminal-Program.- 4.2 Experimental Design.- 4.2.1 Experimental Procedure.- 4.2.2 The Data Base.- 4.3 Theories of Coalition Formation.- 4.3.1 The Core.- 4.3.2 Bargaining Set.- 4.3.3 Equal Excess Theory.- 4.3.4 Equal Division Payoff Bounds.- 4.3.5 Proportional Division Payoff Bounds.- 4.4 Experimental Results.- 4.4.1 Overall Comparisons.- 4.4.2 Games with Zero and Positive Payoffs to the One-Person Coalitions.- 4.4.3 Additional Hypotheses.- 4.4.4 The Relevance of the Core in Games with a Thick Core.- 4.4.5 Experience of Negotiators in Bargaining Games.- 4.5 Summary on Three-Person Games.- 5. Summary and Conclusion.- A. Introduction to the Rules and the Experimental Apparatus of a Two-Person Bargaining Experiment.- B. Introduction to the Rules and the Experimental Apparatus of a Three-Person Bargaining Experiment.- C. Listing of All Results.- References.
Series: Lecture Notes in Economic and Mathematical Systems
Number Of Pages: 165
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99
Weight (kg): 0.3