Showing papers in "Mathematical Social Sciences in 1990"

TL;DR: In this article, the authors examine the effect of agglomeration in the context of regional economics and show that the presence of increasing returns implies that one product or one technology, out of several possible must come to dominate a market.

TL;DR: In this paper, a new concept of inequality-equivalence, called intermediate, is presented, which allows one to vary the value judgement on inequality between the well-known relative and absolute views.

TL;DR: In this article, the authors present a simple dynamic model of adoption of an innovation when there are network externalities, that is, when one agent's benefit from adoption increases with the number of other adopters, and assume there is a continuum of differentiated potential adopters who are perfectly informed rational agents.

TL;DR: This paper provides a mathematical foundation for studying competence sets, their expansion processes and stability and introduces key concepts introduced.

TL;DR: In this paper, an abstract axiomatic theory of consensus functions is proposed to account for several classes of similar concrete results in the domain of the axiomatization approach to consensus.

TL;DR: In this article, a nontransitive generalization of additively separable utility for preference on multiattribute outcomes is proposed, which requires at least three factors or attributes, retains the essential independence aspect of additive conjoint measurement, and makes no assumption about transitive preferences.

TL;DR: In this paper, a preference axiomatization of the generalized model for finite state spaces is presented, which is based on a recent extension of additive conjoint measurement in multiattribute utility theory.

TL;DR: A general concept for expressing value judgments about how the addition of 1 further agent to some given society should affect social welfare and a replication invariance condition are introduced and an axiomatic framework for welfare orderings based on a generalized averaging procedure applied to individual utilities is provided.

TL;DR: In this paper, a small economic literature modelling random trading groups or communication structures as random graphs is modeled and conditions are found under which a given - finite or infinite - countable subset of a pseudo-metric space is almost certainly contained in a connected component of a random graph.

TL;DR: In this paper, the scale type of the dependent and independent variables in a possible psychophysical or other scientific law determines the general form of the law through the solution of a certain functional equation.

TL;DR: In this article, a class of relative and absolute ethical measures of poverty depending on the head-court ratio and the aggregate income gap of the poor are characterized, and an axiom for poverty comparisons of distributions of different dimensions is used.

TL;DR: In this paper, it was shown that the Copeland winner and the yolk center can be seen as a side-payment analogue of the finagle point in the von Neumann-Morgenstern games.

TL;DR: In this article, the authors developed an asset pricing model for a production economy with endogenous labor supply and capital accumulation decision, which is compatible with risk aversion for a class of economies with homogeneous utility functions and constant returns to scale technology.

TL;DR: In this paper, Nachbin's lifting theorem for bounded isotone continuous real valued functions on closed subsets of a normally preordered space is generalized directly to arbitrary preordered topological spaces.

TL;DR: In this article, a closed model with transaction costs arising from both physical con- sumption of resources in trade and from a positive money rate of interest is built and analyzed with transactions costs.

TL;DR: In this article, the one-to-one correspondence between symmetrical absolutely determined matrices and quasilinear set functions is constructed, which is generalized to the functions on arbitrary finite semilattices.

TL;DR: In this paper, a generalization of Fishburn's SSB utility theory is presented, where a new representational form yields a bilinear functional u on P × P for which u ( p, q )> 0 if and only if p is preferred to q, where u (p, p )≤0, and u ( q, p) u (P, q, p ) u(p, q)> 0.

TL;DR: The ensembles of interacting neural networks are suggested as a model of collective decision- making that gives rise to a realistic possibility of counterposing the ethological parameters of collective behavior with cognitive ones.

TL;DR: The solution involves the replacement of an unbounded search by a bounded one, and therefore represents a significant reduction of complexity in those cases to which it applies.

TL;DR: In this paper, the stability set is used to ensure the nonemptiness of the core in a voting game where the core has been replaced by a new solution concept introduced by Rubinstein and called the Stability Set.

TL;DR: In this paper, it was shown that Arrow's impossibility theorem is provable within the Zermelo-Fraenkel set theory (ZF) model of ZF. But the Arrowian Dictator theorem is not provable in the ZF model.

TL;DR: In this paper, the authors examined the decision-makers' contribution to an organization's output by constructing a production function, in which the employees' work time and the average delay of a case work in the organization hierarchy was considered as the output.

TL;DR: This definition, which considers some measure-theoretic aspects, will be applied to construct suitable dissimilarity coefficients on a set of data and will be used in forthcoming papers to gain the best goodness criteria for different types of data.

TL;DR: In this article, a stochastic model has been formulated to analyse the combined effect of these sources and the impact of various control measures taken by the authorities to restore normalcy.

TL;DR: The authors showed that game forms are equivalent when they generate identical families of games, a property offering no consistent identification between underlying strategy spaces, and proved that equivalent reduced game forms have identical structure.

TL;DR: In this article, necessary and sufficient conditions on the number of voters required to guarantee an equilibrium in the Greenberg-Shepsle model of spatial electoral competition for a fixed number of seats in the legislature are provided.

TL;DR: In this paper, it was shown that the core of an economy with congested public goods shrinks to the set of Lindhal allocations as the economy is replicated, and that all allocations in a sufficiently large replica economy have the equal-treatment property.

TL;DR: In this article, it was shown that the dominance relation defined by the ordering on the positive part of A can be recursively presented in the strong sense, despite the fact that the dominating relation in this case is recursive.

TL;DR: The Shapley-Bondareva-Schmeidler Theorem for weak cooperative games with side-payments was shown to be equivalent to the Hahn-Banach Theorem in this article.

TL;DR: In this article, the authors analyze the relationships between six selected problems involving nonlinear operators in Euclidean spaces and provide a panoply of tools suitable for the solvability of those economic models which can be formulated in terms of non-linear operators.