Duopoly Market Analysis within One-Shot Decision Framework with Asymmetric Possibilistic Information

In this paper, a newly emerging duopoly market with a short life cycle is analyzed. The partially known information of market is characterized by the possibility distribution of the parameter in the demand function. Since the life cycle of the new product is short, how many products should be produced by two rival firms is a typical one-shot decision problem. Within the one-shot decision framework, the possibilistic Cournot equilibrium is obtained for the optimal production level of each firm in a duopoly market with asymmetrical possibilistic information. The analysis results show that the proposed approaches are reasonable for one-shot decision problems, which are extensively encountered in business and economics.

[1]  Lluis Godo,et al.  On the Possibilistic-Based Decision Model: Characterization of Preference Relations Under Partial Inconsistency , 2001, Applied Intelligence.

[2]  A. Tversky,et al.  Prospect theory: an analysis of decision under risk — Source link , 2007 .

[3]  L. Zadeh.  Fuzzy sets as a basis for a theory of possibility , 1999 .

[4]  Didier Dubois,et al.  Decision-theoretic foundations of qualitative possibility theory , 2001, Eur. J. Oper. Res..

[5]  Peijun Guo.  One-shot decision approach and its application to duopoly market , 2010, Int. J. Inf. Decis. Sci..

[6]  F.C.A. Groen,et al.  Possibilistic decision making in sensor systhems , 1998 .

[7]  Peijun Guo,et al.  Group decision with inconsistent knowledge , 2002, IEEE Trans. Syst. Man Cybern. Part A.

[8]  Uzi Segal,et al.  The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach , 1987 .

[9]  D. Ruan,et al.  A Linguistic-Valued Weighted Aggregation Operator to Multiple Attribute Group Decision Making with Quantitative and Qualitative Information , 2008, Int. J. Comput. Intell. Syst..

[10]  I. Gilboa.  Expected utility with purely subjective non-additive probabilities , 1987 .

[11]  Jun Liu,et al.  A Linguistic-Valued Weighted Aggregation Operator to Multiple Attribute Group Decision Making with Quantitative and Qualitative Information , 2008, Int. J. Comput. Intell. Syst..

[12]  Peijun Guo,et al.  Decision analysis based on fused double exponential possibility distributions , 2003, Eur. J. Oper. Res..

[13]  David Schmeidleis.  SUBJECTIVE PROBABILITY AND EXPECTED UTILITY WITHOUT ADDITIVITY , 1989 .

[14]  Ali Pahlavani,et al.  A New Fuzzy MADM Approach and its Application to Project Selection Problem , 2010 .

[15]  Peijun Guo.  Private Real Estate Investment Analysis within a One-Shot Decision Framework , 2010 .

[16]  Thomas Whalen,et al.  Decisionmaking under uncertainty with various assumptions about available information , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[17]  David M. Kreps,et al.  A Course in Microeconomic Theory , 2020 .

[18]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[19]  Tuncay Gürbüz,et al.  Multiple Criteria Human Performance Evaluation Using Choquet Integral , 2010, Int. J. Comput. Intell. Syst..

[20]  David E. Bell,et al.  Regret in Decision Making under Uncertainty , 1982, Oper. Res..

[21]  D. Ellsberg.  Decision, probability, and utility: Risk, ambiguity, and the Savage axioms , 1961 .

[22]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[23]  Tolga Kaya,et al.  Multi-attribute Evaluation of Website Quality in E-business Using an Integrated Fuzzy AHPTOPSIS Methodology , 2010, Int. J. Comput. Intell. Syst..

[24]  Peijun Guo,et al.  Upper and lower possibility distributions of fuzzy decision variables in upper level decision problems , 2000, Fuzzy Sets Syst..

[25]  Hideo Tanaka,et al.  Possibilistic Data Analysis for Operations Research , 1999 .

[26]  R. Sugden,et al.  Regret Theory: An alternative theory of rational choice under uncertainty Review of Economic Studies , 1982 .

[27]  M. Allais.  Le comportement de l'homme rationnel devant le risque : critique des postulats et axiomes de l'ecole americaine , 1953 .

[28]  F. Knight.  The economic nature of the firm: From Risk, Uncertainty, and Profit , 2009 .

[29]  Peijun Guo.  One-Shot Decision Theory , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[30]  Javier Montero,et al.  Fuzzy Specification in Real Estate Market Decision Making , 2010, Int. J. Comput. Intell. Syst..