Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/17927 
Year of Publication: 
2007
Series/Report no.: 
Economics Discussion Papers No. 2007-4
Publisher: 
Kiel Institute for the World Economy (IfW), Kiel
Abstract: 
Economists traditionally tackle normative problems by computing optimal policy, i.e., the one that maximizes a social welfare function. In practice, however, a succession of marginal changes to a limited number of policy instruments are implemented, until no further improvement is feasible. I call such an outcome a ?restricted local optimum?. I consider the outcome of such a tatonment process for a government which wants to optimally set taxes given a tax code with a fixed number of brackets. I show that there is history dependence, in that several local optima may be reached, and which one is reached depends on initial conditions. History dependence is stronger (i.e. there are more local optima), the more complex the design of economic policy, i.e. the greater the number of tax brackets. It is also typically stronger, the greater the interaction of policy instruments with one another – which in my model is equivalent to agents having a more elastic labor supply behavior. Finally, for a given economy and a given tax code, I define the latter?s average performance as the average value of the social welfare function across all the local optima. One finds that it eventually sharply falls with the number of brackets, so that the best performing tax code typically involves no more than three brackets.
Subjects: 
Complexity
Optimal taxation
bouded rationality
learning
multiple equilibria
path dependence
JEL: 
J22
H21
H2
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Working Paper

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