Towards Interactive Solutions in a Bargaining Problem

The paper deals with interactive arbitration processes in a bargaining problem. Principles of constructing such processes are discussed, and several solution concepts are considered, first in unicriterial and then in multicriterial case. The analysis is preceded by a review of the axiomatic basis of Nash and Raiffa solution concepts.

[1]  W. Hamilton,et al.  The Evolution of Cooperation , 1984 .

[2]  Andrzej P. Wierzbicki,et al.  Theory, Software and Testing Examples for Decision Support Systems , 1987 .

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

[4]  Günter Fandel.  Optimale Entscheidungen in Organisationen , 1979 .

[5]  E. Kalai,et al.  OTHER SOLUTIONS TO NASH'S BARGAINING PROBLEM , 1975 .

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

[7]  Towards Interactive Procedures in Simulation and Gaming: Implications for Multiperson Decision Support , 1989 .

[8]  William Thomson,et al.  Two characterizations of the Raiffa solution , 1980 .

[9]  A. Wierzbicki.  A Mathematical Basis for Satisficing Decision Making , 1982 .

[10]  Andrzej P. Wierzbicki,et al.  Plural Rationality and Interactive Decision Processes , 1985 .

[11]  R. Selten,et al.  A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information , 1972 .

[12]  A. Roth.  An impossibility result concerningn-person bargaining games , 1979 .

[13]  Andrzej P. Wierzbicki,et al.  Negotiation and Mediation in Conflicts: II. Plural Rationality and Interactive Decision Processes , 1985 .

[14]  H. Imai.  Individual Monotonicity and Lexicographic Maxmin Solution , 1983 .

[15]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

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

[17]  Manfred Grauer,et al.  Plural Rationality and Interactive Decision Processes; Proceedings of an IIASA Summer Study on Plural Rationality and Interactive Decision Processes, Sopron, Hungary, August 16-26, 1984 , 1985 .

[18]  H. Raiffa,et al.  GAMES AND DECISIONS; INTRODUCTION AND CRITICAL SURVEY. , 1958 .

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

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

[21]  L. Kruś,et al.  An Experimental System Supporting Multiobjective Bargaining Problem , 1989 .