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Universally Stable Adjustment Processes - A Unifying Approach -

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Herings,P. Jean-Jacques (METEOR)

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Abstract

Both in game theory and in general equilibrium theory there exists a number of universally stable adjustment processes. In game theory these processes typically serve the role of selecting a Nash equilibrium. Examples are the tracing procedure of Harsanyi and Selten or the equilibrium selection procedure proposed by McKelvey and Palfrey. In general equilibrium the processes are adjustment rules by which an auctioneer can clear all markets. Examples are the processes studied by Smale, Kamiya, van der Laan and Talman, and Herings. The underlying reasons for convergence have remained rather mysterious in the literature, and convergence of different processes has seemed unrelated. This paper shows that convergence of all these processes relies on Browder''s fixed point theorem.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 006.

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Date of creation: 2002
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Handle: RePEc:dgr:umamet:2002006

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Keywords: mathematical economics and econometrics ;

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  18. P. Jean-Jacques Herings & Gerard van der Laan & A.J.J. Dolf Talman, 1998. "Price-quantity Adjustment in a Keynesian Economy," Tinbergen Institute Discussion Papers 98-124/1, Tinbergen Institute.
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  19. Yamamoto, Yoshitsugu, 1993. "A Path-Following Procedure to Find a Proper Equilibrium of Finite Games," International Journal of Game Theory, Springer, vol. 22(3), pages 249-59.
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