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On Puu’s incomplete information formulation for the standard and multi-team Bertrand game. (English) Zbl 1142.91351
Summary: Puu’s incomplete information dynamical system is introduced and applied for Bertrand duopoly. Multi-team Bertrand game is formulated. It is a generalization of Liu’s work to dynamical non-convex multi-team games.

MSC:
91A25Dynamic games
37N40Dynamical systems in optimization and economics
91A26Rationality, learning (game theory)
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Full Text: DOI
References:
[1] Gibbons, R.: A primer in game theory. (1992) · Zbl 0759.90106
[2] Liu, Y.; Simaan, M. A.: Noninferior Nash strategies for multi-team systems. J optim theo appl 120, 29 (2004) · Zbl 1064.91025
[3] Zadeh, L.: Optimality and non-scalar-valued performance criteria. IEEE trans autom control 8, No. 1, 59-60 (1963)
[4] Ahmed E, Hegazi AS, Elettreby MF, Askar SS. On multi-team games. Submitted for publication.
[5] Puu, T.: Chaos in duopoly pricing. Chaos, solitons & fractals 1, 573 (1991) · Zbl 0754.90015
[6] Puu, T.: The chaotic monopolist. Chaos, solitons & fractals 5, 35 (1995) · Zbl 0829.90030