The Ability of Nash's Theory of Cooperative Games to Predict the Outcomes of Buyer-Seller Negotiations: A Dyad-Level Test

This research develops and implements a dyad-level procedure for testing whether the outcomes of buyer-seller negotiations correspond to settlements prescribed by Nash's theory of cooperative games. The procedure entails a multivariate statistical test in which some parameters are estimated by simulation, while others are provided directly from the assessment of negotiator utility functions by means of conjoint analysis. The procedure is applied to an experiment in which subjects participated in a realistic role-playing exercise that replicated the purchase of television advertising time. Results indicate that at the 0.01 significance level, 57.8% of the dyads can be rejected as not having achieved Nash solutions. These results, and their implications for marketing practitioners as well as future research, are discussed.

[1]  T. Wallace,et al.  Weaker Criteria and Tests for Linear Restrictions in Regression , 1972 .

[2]  R. L. Winkler,et al.  Risk Sharing and Group Decision Making , 1981 .

[3]  Kanti V. Mardia,et al.  The effect of nonnormality on some multivariate tests and robustness to nonnormality in the linear model , 1971 .

[4]  Marcel Corstjens,et al.  Formal Choice Models in Marketing , 1983 .

[5]  K. Popper,et al.  Conjectures and Refutations , 1963 .

[6]  Otomar J. Bartos Process and outcome of negotiations , 1974 .

[7]  H. Raiffa 21. Arbitration Schemes for Generalized Two-person Games , 1953 .

[8]  Douglas D. Heckathorn,et al.  A paradigm for bargaining and a test of two bargaining models , 1978 .

[9]  J. Nash THE BARGAINING PROBLEM , 1950, Classics in Game Theory.

[10]  J. Nash Two-Person Cooperative Games , 1953 .

[11]  Josef Perner,et al.  Experiments with cooperative 2 × 2 games , 1977 .

[12]  William Samuelson Bargaining under Asymmetric Information. , 1984 .

[13]  G. Hughes,et al.  The Influence of Personality on the Bargaining Process , 1973 .

[14]  H. Scheffé An Analysis of Variance for Paired Comparisons , 1952 .

[15]  O. Bartos,et al.  Simple Model of Negotiation , 1977 .

[16]  Rudy V. Nydegger,et al.  Independent utility scaling and the nash bargaining model , 1977 .

[17]  B. Coe Aaker, David A. (Ed.).Advertising Management. Englewood Cliffs, New Jersey: Prentice-Hall, Inc., 1975 , 1976 .

[18]  Frank M. Bass,et al.  Pooling Issues and Methods in Regression Analysis with Examples in Marketing Research , 1975 .

[19]  Imran S. Currim Predictive Testing of Consumer Choice Models Not Subject to Independence of Irrelevant Alternatives , 1982 .

[20]  S. Addelman Orthogonal Main-Effect Plans for Asymmetrical Factorial Experiments , 1962 .

[21]  R. Myerson Two-Person Bargaining Problems with Incomplete Information , 1982 .

[22]  Barton A. Weitz Effectiveness in sales interactions: A contingency framework. , 1981 .

[23]  F. Webster Field sales management , 1983 .

[24]  G. Owen,et al.  Two-person bargaining: An experimental test of the Nash axioms , 1974 .

[25]  J. Rubin,et al.  The social psychology of bargaining and negotiation , 1975 .

[26]  F. Robert Dwyer,et al.  Bargaining in an Asymmetrical Power Structure , 1981 .

[27]  Howard Raiffa,et al.  Games And Decisions , 1958 .

[28]  A. Roth Axiomatic models of bargaining , 1979 .

[29]  Kenneth J. Roering,et al.  Commitment to future interaction in marketing transactions , 1975 .

[30]  Philip Wolfe,et al.  Contributions to the theory of games , 1953 .

[31]  John R. Hauser,et al.  Measurement Error Theories for Von Neumann-Morgenstern Utility Functions , 1981 .

[32]  Scott A. Neslin,et al.  Nash's Theory of Cooperative Games as a Predictor of the Outcomes of Buyer-Seller Negotiations: An Experiment in Media Purchasing , 1983 .

[33]  A. Roth,et al.  Game-Theoretic Models and the Role of Information in Bargaining , 1979 .

[34]  John R. Hauser,et al.  Intensity Measures of Consumer Preference , 1980, Oper. Res..