Showing papers in "Mathematical Social Sciences in 1984"

TL;DR: In this article, it was shown that dominance-solvability implies the global stability of the Cournot tatonnement process in normal form games with single-valued best reply functions.

TL;DR: SSB utility theory for decision-making under risk is a generalization of the expected utility theory of von Neumann and Morgenstern that preserves much of their structure for the quantitative representation of preferences, including continuity, convexity, and monotonicity as mentioned in this paper.

TL;DR: In this article, the authors apply the axioms of the SSB utility theory to preferences between lottery acts in a Savage-type states-of-the-world formulation of decision-making under uncertainty.

TL;DR: In this paper, a conceptual framework for the analysis of common knowledge and communication when information structures are represented by sigma-algebras instead of partitions is established, which involves the construction of Boolean sigmaalgesas of generalized events, events which are identified only up to addition or subtraction of null sets.

TL;DR: In this paper, the general form of consensus functions on valued (or fuzzy) quasi-orders which satisfy two simple Arrow-like conditions of efficiency and binariness was given.

TL;DR: In this paper, the authors considered a single member district, simple plurality political system with n districts, and provided minimal sufficient conditions for an equilibrium to exist in this game and the equilibrium characterized.

TL;DR: In this paper, strategies are developed and analyzed for IPD games which most resemble arms races; those which are finite, uncertain and time varying in length, and it is shown that, under certain conditions, it can be rational to unilaterally cooperate following a series of mutual defection.

TL;DR: In this paper, it was shown that continuous, anonymous, strategyproof social choice functions in two dimensions for Type I preferences are coordinatewise median functions m(x 1, n−1 ).

TL;DR: A division problem is a subset of the utility space representing the alternatives available to a group of agents, and a solution is a method of selecting from each division problem in some class an equitable compromise as discussed by the authors.

TL;DR: In this paper, the authors analyze the representation of any relation R by a union of matching relations, and present a general discussion of the relation representation and various results concerning the representation.

TL;DR: In this article, the authors present a framework for the use of connectives in multivariate analysis and theory construction, using fuzzy set theory as a basis for such a framework, and show the utility of these connectives as a means to cell-specific interpretations of interaction effects which can also be translated into English.

TL;DR: In this article, a conceptual framework for including demographic variables in economic analysis of the demand for medical care, given demand for health, was developed, where demographic factors are used to restrict the consumption space to a relevant subset in the commodity space, which enables demographic variables to be included in a theoretical analysis of utility maximization.

TL;DR: In this article, an axiom system for expected utility in a setting where preference is defined directly on probability distributions of outcomes is developed, and conditions for continuity of the utility function are brought out.

TL;DR: In this article, order theoretic and combinatorial properties of the semilattice of weak orders on a set are investigated and an order-theoretic characterization of this semi-transformer is given.

TL;DR: In this article, the authors investigated possible extensions of the Arrow impossibility theorem by relaxing the collective rationality condition from transitivity to acyclicity and showed that some elements of dictatorship must persist even when two of Arrow's conditions are dropped (namely the Pareto principle and transitivity of social preferences).

TL;DR: In this article, a model of exchange where a single commodity serves as a means of payment and trade must pass through designated brokers is presented, and the existence of an equilibrium is established and bounds are placed on the price spread on each commodity.

TL;DR: In this paper, a test of the core solution in cooperative non-sidepayment games where players have finite strategy sets was conducted. And the results showed that the frequency of outcomes falling in core is substantially higher than that observed in previous experiments (most of which involve sidepayment games).

TL;DR: The concept of behavior settings (settings for behavior) was introduced by the psychologist Roger Barker in 1950 as discussed by the authors and has been applied successfully to surveys of other communities and of several types of organizations.

TL;DR: The main results illustrate how optimality and sensitivity analysis can be pursued while explicitly recognizing decision-making costs associated with potential variability of decisional skills.

TL;DR: The concepts of behavior settings and eco-behavioral science originated by the psychologist Roger Barker, showed how they could be linked with standard economic data systems, and suggested their use as a basis for time-allocation matrices and social system accounts.

TL;DR: In this paper, the authors examined the adequacy of the expected utility theory and concluded that the theory is inadequate when the decision-maker is decreasingly risk averse and his initial wealth is risky.

TL;DR: In this article, it is shown that an anticipatory process reduces to a behaviorally equivalent myopic process if and only if binary choices are lexically organized and amnesia is characterized by the condition that binary choices be 'ahistorical'.