Flexible Majority Rules for Central Banks

Abstract

We propose a flexible majority rule for central-bank councils where the size of the majority depends monotonically on the change in interest rate within a particular time frame. Small changes in interest rate require a small share of supporting votes, even less than 50\%. We show that flexible majority rules are superior to simple majority rules and can implement the optimal monetary policy under a variety of circumstances.

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A shorter version of the paper can be found  in the Journal of Money Credit and Banking Volume 41, Issue 2-3, pages 507–516, March-April 2009
 
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Cake Division by Majority Decision


Abstract

We consider a collective choice process where three players make proposals seque ntially on how to divide a given quantity of resources. Afterwards, one of the p roposals is chosen by majority decision. If no proposal obtains a majority, a pr oposal is drawn by lot. We establish the existence of the set of subgame perfect equilibria, using a suitable refinement concept. In any equilibrium, the first agent offers the whole cake to the second proposal-maker, who in turn offers the whole cake back to the first agent. The third agent is then indifferent about d ividing the cake between himself and the first or the second agent.

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Is it that easy?

Abstract

In this paper we provide one single aspect of the financial crisis. We show in a very simple model the dramatic downgrade of a simplified CDO^2, if the default probability of the underlying credit varies slightly.

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