Microcosms and macrocosms: Seat allocation in proportional representation systems

Three alternative methods are proposed to determine a normative standard concerning the fair proportion of seats a party ought to receive in a representative assembly as a function of the voters' preference orderings. The methods differ from one another in their treatment of indifference relations and the assumptions they make about the type of scale underlying voters' preferences. Common to all three methods is the basic idea that the ratio between the number of voters preferring party i over j to the number of voters preferring party j over i can be tested for consistency, in a precisely defined sense, and if sufficiently consistent, can be appropriately scaled to determine the proportion of seats each party ought to receive. The proposed solutions are shown to satisfy several desiderata when the matrix of preference ratios is consistent. When there are cyclical majorities of equal size, the matrix of preference ratios is inconsistent. The main application of the proposed scheme is as a normative benchmark against which actual or proposed voting procedures can be evaluated in proportional representation systems. The theoretical implications of these solutions are briefly discussed.This research was supported by the United States - Israel Binational Science Foundation (BSF), Jerusalem, Israel. We wish to thank Steven Brams, David V. Budescu, and Joseph Greenberg for many helpful comments.     

DUALISM AND DESIRE IN THE LANDSCAPE OF THE DIVINE

Through depictions of the landscape in the literary works of contemporary Jewish national-religious poets and writers, ambivalence in their relationship towards their natural and man-made surroundings is laid bare. The implementation of the Israeli occupation on the West Bank has rendered a profound impact on the landscape; yet for religious Jewish settlers who subscribe to the promise of redemption that will mark the unification of Jews, God and the land – such unity is desired yet unattainable. In the reading of these texts, the landscape takes on many of the qualities of Jacques Lacan's ‘objet a’ that is both a surplus of the Real and testimony to its absence. Coveted and resented, pure and profane, inclusive and alienating – the portrayed spaces and places of the Israeli occupation allude to binary poles that can be read through Bruno Latour's investigation on the nature of ‘factishes’; these render the depiction of the landscape a unison between what its dwellers are, and what they desire. Through the prism of these two approaches, the depicted landscape of the Israeli occupation that emerges from these texts is one that borrows from Zionist ideology, and yet carves for itself its own niche. In its relationship with the land and the landscape, religious-national sentiment is not yet another manifestation of a national ideology (though it both feeds from and is fed by it), but is propelled by the desire to lay claim to the Lacanian notion of a longed-for Real. In these as yet relatively unstudied texts, the landscape of occupation maps the landscape of its writers’ pleasures and pains, and that of continuous desire.     

Distributed Decisions in Networks: Laboratory Study of Routing Splittable Flow

We study network games in which users choose routes in computerized networks susceptible to congestion. In the “unsplittable” condition, route choices are completely unregulated, players are symmetric, each player controls a single unit of flow and chooses a single origin–destination (O–D) path. In the “splittable” condition, which is the main focus of this study, route choices are partly regulated, players are asymmetric, each player controls multiple units of flow and chooses multiple O–D paths to distribute her fleet. In each condition, users choose routes in two types of network: a basic network with three parallel routes and an augmented network with five routes sharing joint links. We construct and subsequently test equilibrium solutions for each combination of condition and network type, and then propose a Markov revision protocol to account for the dynamics of play. In both conditions, route choice behavior approaches equilibrium and the Braess Paradox is clearly manifested.