On recursive solutions to simple allocation problems

We propose and axiomatically analyze a class of rational solutions to simple allocation problems where a policy-maker allocates an endowment $E$ among $n$ agents described by a characteristic vector c. We propose a class of recursive rules which mimic a decision process where the policy-maker initially starts with a reference allocation of $E$ in mind and then uses the data of the problem to recursively adjust his previous allocation decisions. We show that recursive rules uniquely satisfy rationality, c-continuity, and other-c monotonicity. We also show that a well-known member of this class, the Equal Gains rule, uniquely satisfies rationality, c-continuity, and equal treatment of equals.     

A geometric approach to revealed preference via Hamiltonian cycles

It is shown that a fundamental question of revealed preference theory, namely whether the weak axiom of revealed preference (WARP) implies the strong axiom of revealed preference (SARP), can be reduced to a Hamiltonian cycle problem: A set of bundles allows a preference cycle of irreducible length if and only if the convex monotonic hull of these bundles admits a Hamiltonian cycle. This leads to a new proof to show that preference cycles can be of arbitrary length for more than two but not for two commodities. For this, it is shown that a set of bundles satisfying the given condition exists if and only if the dimension of the commodity space is at least three. Preference cycles can be constructed by embedding a cyclic $(L-1)$ -polytope into a facet of a convex monotonic hull in $L$ -space, because cyclic polytopes always admit Hamiltonian cycles. An immediate corollary is that WARP only implies SARP for two commodities. The proof is intuitively appealing as this gives a geometric interpretation of preference cycles.     

Reflective coherence and Newcomb problems: A simple solution

Assignments of greater expected value to dominated options in Newcomb problems are analyzed as manifestations of reflective incoherence. The prospect of a greater reward by choosing a dominated option is illusory, since any ill gotten, i.e. irrational, gains can be leeched away by submitting the agent to a dynamic Dutch Book. In the Appendix, a proof is given which shows that if the agent is to avoid the Dutch Book in Newcomb situations, his degrees of belief are reflectively coherent if and only if his desirabilities at the time of choice align with his desirabilities at the time of action.     

The choice axiom,revealed preference,and the theory of demand

The paper relates the classical economic theory of consumer demand to Luce's well-known general theory of choice behaviour. After discussing some fundamental similarities between the two theories, a simplified variant of Luce's probabilistic theory is used as an aid to construct, by analogy, a generalization of the classical theory of demand. In the light of Luce's theory it is then examined in what sense the representative demand of the uncertain consumer will coincide with the demand that maximizes utility, and in what sense it will coincide with classical demand.     

A graph-theoretical approach to the aggregation of individual preference orderings

A graph-theoretical approach as first outlined by Harary et al. is developed for solving the problem of aggregating a given set of individual preference orderings provided that no individual preferential judgment is inconsistent with the collective preference ordering obtained by aggregation.

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Reversals of preference between compound and simple risks: The role of editing heuristics

A reversal of preference between compound and simple risks was demonstrated in the context of compound gambles with loss elements transparently in common. The role of predecision editing heuristics in this violation of the Invariance Principle was explored in a process-tracing study. Verbal reports showed thatcancellation-by-similarity andamalgamation heuristics were differentially applied to simple and compound risks depending on their similarity structure. It was argued that such heuristics are often useful in simplifying complex choice problems without loss of important information. However, the inappropriate cancellation of elements of compound risks can be maladaptive, and can contribute to a lack of insight into the true nature of these risks.     

Axiomatic analysis of non-transitivity of preference and of indifference

Theory and Decision - This paper analyzes the usual Bayesian (money pump) argument for transitivity of preference and of indifference: that violation of transitivity is incoherent, since it...     

A variational model of preference under uncertainty

A familiar example devised by Daniel Ellsberg to highlight the effects of event ambiguity on preferences is transformed to separate aleatory uncertainty (chance) from epistemic uncertainty. The transformation leads to a lottery acts model whose states involve epistemic uncertainty; aleatory uncertainty enters into the statedependent lotteries. The model proposes von Neumann-Morgenstern utility for lotteries, additive subjective probability for states, and the use of across-states standard deviation weighted by a coefficient of aversion to variability to account for departures from Anscombe-Aumann subjective expected utility. Properties of the model are investigated and a partial axiomatization is provided.     

解析网络语言

随着以INTERNET为媒介的交流增多,网络语言应运而生. 网络语言主要有以下几种类型:汉字型、字母型、符号型和数码型.网络词语是网络语言的核心成分,网络词语的组成方式可以成为突显网络语言的构造形式,它的类型有汉字新词,表意数字,字母缩写和情意符号其核心就是标新立异,表现个性.目前网络语言已经走下网络,走入日常生活.以后网络语言将会有新的发展,人们应该以积极的态度去对待网络语言.     

Developing creative solutions to the problems of children and their families: communicative reason and the use of forum theatre

The paper represents a further development of work previously reported in this journal by Spratt & Houston (1999) and Spratt et al. (2000) . The authors have sought to develop ways of understanding current social work with children and families in line with the critical theory of Jurgen Habermas. This analysis has been complemented by an adoption of the methodology of the radical dramatist, Augusto Boal. In synthesizing Habermas's analysis of communicative discourses with the consciousness raising methodology of Boal, the authors have already demonstrated the effectiveness of this hybrid in problem‐solving exercises with social workers. The present paper reports on an application of this developing theory to practice, utilizing the centrepiece of Boal's method, forum theatre. A forum theatre project, concerned with the issue of bullying, is described and evaluated. It is argued that the project provides an exemplar of an innovative, democratizing and effective methodology that might profitably be utilized in social work with children and families. Finally, suggestions are made as to how these ideas could be developed in practice.     

Equilibria with vector-valued utilities and preference information. The analysis of a mixed duopoly

This paper deals with the equilibria of games when the agents have multiple objectives and, therefore, their utilities cannot be represented by a single value, but by a vector containing the various dimensions of the utility. Our approach allows the incorporation of partial information about the preferences of the agents into the model, and permits the identification of the set of equilibria in accordance with this information. We also propose an additional conservative criterion which can be applied in this framework in order to predict the results of interaction. The potential application of the theoretical results is shown with an analysis of a mixed oligopoly in which the agents value additional objectives other than their own benefit. These objectives are related to social welfare and to the profit of the industry. The flexibility of our approach provides a general theoretical framework for the analysis of a wide range of strategic economic models.     

A survey of adolescents’ perception of parents with a son preference

Preference for sons derives from the agricultural economy of the past. It is surprising, however, that this preference still exists in countries which have progressed from an agricultural to an industrial economy. The main aim of this study was therefore to explore the perception of adolescents to parents who did or did not have a preference for sons. Adolescents aged from thirteen to fifteen (n = 1,982) from six Chinese independent schools were invited to fill in a questionnaire in a cluster sampling study. Factor analyses were used to examine the reliability of measurements. Chi-square and independent t tests were run to analyze the data. The results showed significant differences between respondents’ perception of their parents in terms of whether their parents had a preference for sons or not, and that respondents whose parents who had this preference were more likely to have a poor perception of their parents than those whose parents who did not have this preference. Also, both males and females had a poorer perception of parents who had a preference for sons, even though males had received better treatment from parents who had such a preference. In the light of the continued prevalence of preference for sons in some Asian countries, it is suggested that more studies should explore the attitudes and behaviors of those children whose parents have a preference for sons, so that the government and the public are aware of the potentially negative impacts of the preference culture and effective action can be taken to tackle the problem.     

An analysis of simple counting methods for ordering incomplete ordinal data

Measurement in the social sciences often involves an attempt to completely order a set of entities on the basis of an underlying attribute. However, limitations of the measurement process often prevent complete empirical determination of the desired ordering. Nevertheless, the ordinal data obtained from the measurement process can be used in attempting to recover or construct more of the underlying order than is provided by the data. Previous research (Fishburn and Gehrlein, 1974a) has shown that a simple one-stage construction method, referred to as the cardinal rule, is fairly effective in correctly identifying ordered pairs in the underlying linear order that are not identified by the measurement process. The present paper re-examines the cardinal rule from the perspective of construction methods based on simple counting measures derived from the data, and argues that it is the best one-stage method in this class when a natural monotonicity assumption holds for the measurement process. The paper then examines two-stage construction rules that are based on the cardinal rule and the simple counting measures. It is shown that one of the two-stage rules gives better overall results than does the cardinal rule by itself.     

试论《老子》道家学说的易学情结

《老子》产生之时代乃春秋末期 ,而春秋末期则为卜筮之事盛行之时代。从《老子》书看 ,其有诸多文句和思想与春秋筮辞有关。是《老子》早于《易传》将《易》由卜筮向义理方向的发展推进了一步 ,后世《易传》中保存和吸收了诸多《老子》道家的思想和观点。以此言 ,《老子》是《周易》古经到《易传》十翼的过渡环节 ,其在中国古代易学发展史上占有十分重要的地位。     

Applications of pseudo-Boolean methods to economic problems

The use of Boolean algebra in logic, switching and automata theory, coding and other technically oriented areas is well known. The role of this paper is to show that Boolean algebra can be instrumental in taking economic decisions.By a pseudo-Boolean function, a real-valued function with bivalent (0–1) variables will be understood. The symbols 0 and 1 will stay both for their logical meaning and their arithmetical value.The basic problems which arise frequently in connection with pseudo-Boolean functions are: (1) solution of systems of equations and/or inequalities involving only pseudo-Boolean functions, (2) problems of determining the maximum or the minimum of a free pseudo-Boolean function, or of a pseudo-Boolean function whose variables are subject to constraints; (3) problems of finding the minimax or the maximin of a pseudo-Boolean function.The basic problems outlined above are exemplified on the case of a company wishing to locate a number of service stations, which - under different assumptions - lead to the above formulated models.Paper presented at the Meeting of the Econometric Society, Chicago, December 27–30, 1968.     

Human rights and the allocation of foreign aid: A cross-national analysis of the last years of the Cold War, 1980–1989

Studies of conflict behavior show that states act differently based on changes in the global system. However, studies of other types of foreign policy behavior, such as aid allocation, have neglected to focus on similar system effects. This study is among the first to look at the impact of the cold war system on the relationship between recipient human rights practices and foreign aid disbursements for eight major aid donors, Canada, France, Germany, the Netherlands, Norway, Sweden, the United Kingdom, and the United States. Through an analysis of aid allocations to a sample of 72 recipients from 1980 to 1989 (the only Cold War years for which reliable and valid human rights data are available) this paper reveals striking and unique findings. Contrary to previous studies, it appears that recipient human rights are a significant factor in whether or not a recipient gets any aid, the so-called gatekeeping stage, but are not a significant factor in how much aid a country receives in the level stage. This paper makes three major contributions to the field. It is the first direct test of the effect of the Cold War system on the relationship between recipient country human rights and aid. It also extends this analysis to donors other than the United States. Finally, the results serve as a baseline for assessing the relationship between human rights and aid during the post-Cold War period (1990–2001) and the so-called “age of terror” (2002 onwards).