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http://ssrn.com/abstract=647602
 
 

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The Empirical Content of Adaptive Models


Jon Bendor


Stanford Graduate School of Business

Daniel Diermeier


Northwestern University - Kellogg School of Management

Michael M. Ting


Columbia University - Department of Political Science

December 2004

Stanford GSB Working Paper No. 1877

Abstract:     
Models with adaptive agents have become increasingly popular in computational sociology (e.g. Macy 1991, Macy and Flache 2002). In this paper we show that at least two important kinds of such models lack empirical content. In the first type players adjust via reinforcement learning: they adjust their propensities to undertake actions based on the kind of feedback they receive. In the second type players satisfice - i.e., retain the same action if the payoff is satisfactory - and search when payoffs are unsatisfactory. In both types of models feed-back is coded as satisfactory if it exceeds some aspiration level, where aspirations may themselves adjust to reflect prior payoffs. We show that outcomes in either type of model are highly sensitive to initial parameters; that is, any outcome of the stage game can be supported as a stable outcome. Intuitively, this occurs because players may be endowed with initial aspirations that make any outcome satisfactory, and thus the actions producing that outcome can be reinforced by all players. These results hold even when players' aspirations are endogenous. We also present two solutions to this problem. First, we show that stochastic versions of the model ensure ergodicity: i.e., the players' action-propensities and aspirations converge to a unique limiting distribution that is independent of their initial values. Second, we show that if players engage in social comparisons - specifically, an agent's aspiration depends on the payoffs of his peers, in addition to his own - then far fewer outcomes can be sustained in equilibrium.

Number of Pages in PDF File: 30

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Date posted: January 12, 2005  

Suggested Citation

Bendor, Jon and Diermeier, Daniel and Ting, Michael M., The Empirical Content of Adaptive Models (December 2004). Stanford GSB Working Paper No. 1877. Available at SSRN: http://ssrn.com/abstract=647602 or http://dx.doi.org/10.2139/ssrn.647602

Contact Information

Jon Bendor (Contact Author)
Stanford Graduate School of Business ( email )
518 Memorial Way
Stanford, CA 94305-5015
United States

Daniel Diermeier
Northwestern University - Kellogg School of Management ( email )
2001 Sheridan Road
Evanston, IL 60208
United States
Michael M. Ting
Columbia University - Department of Political Science ( email )
MC3320
420 West 118th Street
New York, NY 10027
United States
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