Cycle avoiding trajectories,strategic agendas,and the duality of memory and foresight: An informal exposition

This paper considers the notion of cycle avoiding trajectories in majority voting tournaments and shows that they underlie and guide several apparently disparate voting processes. The set of alternatives that are maximal with respect to such trajectories constitutes a new solution set of considerable significance. It may be dubbed the Banks set, in recognition of the important paper by Banks (1985) that first made use of this set. The purpose of this paper is to informally demonstrate that the Banks set is a solution set of broad relevance for understanding group decision making in both cooperative and non-cooperative settings and under both sincere and sophisticated voting. In addition, we show how sincere and sophisticated voting processes can be viewed as mirror images of one another — embodying respectively, “dmemory” and “foresight.” We also show how to develop the idea of a “sophisticated agenda,” one in which the choice of what alternatives to propose is itself a matter of strategic calculation.     

On the Design of Equalizing Grants

This article considers the design of grants to offset fiscaldisparities. We define a fiscal disparity as a condition inwhich towns must levy a different tax rate in order to providethe same level of public services. We consider ways of measuringdisparities, as well as ways of allocating grants to alleviatedisparities. In order to focus the presentation, we concentrateon lump-sum grants for unrestricted use from a state governmentto general purpose local governments within that state. We concludeby presenting an example of a grants formula for the state ofNew Jersey which meets our specifications.     

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African Historiographies: What History for Which Africa?edited by BOGUMIL Jewsiewicki and David Newbury SAGE Publications, Beverly Hills (California) and London, 1986. 320 pp. including figures, notes and bibliography. £33,00.

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