Characterization of additive cost sharing methods

The set of additive cost sharing methods when individual demands are integer valued and cost shares are non negative is characterized by its extreme points and by a network flow representation. The extreme methods allocate costs incrementally along a chain of demand vectors independent of the cost function. The result generalizes Wang’s characterization in that we do not assume the Dummy axiom.     

On the characterization of excess demand functions

Summary. In this paper, we give the necessary and sufficient conditions that characterize the individual excess demand function when it depends smoothly on prices and endowments. A given function is an excess demand function if and only if it satisfies, in addition to Walras law and zero homogeneity in prices, a set of first order partial differential equations, its substitution matrix is symmetric and negative semidefinite. Moreover, we show that these conditions are equivalent to the symmetry and negative semidefiniteness of Slutsky matrix, Walras law and zero homogeneity of Marshallian demand functions.Received: 25 November 2002, Revised: 11 March 2004, JEL Classification Numbers: D11.Marwan Aloqeili: I would like to thank an anonymous referee for helpful comments.     

Revealed preference and differentiable demand

Summary. We prove that, for finitely many demand observations, the Strong Axiom of Revealed Preference tests not only the existence of a strictly concave, strictly monotone and continuous utility generator, but also one that generates an infinitely differentiable demand function. Our results extend those of previous related results (Matzkin and Richter, 1991; Chiappori and Rochet, 1987), yielding differentiable demand functions but without requiring differentiable utility functions.Received: 1 November 2001, Revised: 5 February 2004, JEL Classification Numbers: D11, D12. Correspondence to: Kam-Chau WongThis is a much revised version of Lee and Wong (2001). We are grateful to the Referee for valuable suggestions. We also thank Professor Marcel K. Richter for his comments.     

Green consumers and public policy: On socially contingent moral motivation

“Green” consumers appear to accept individual responsibility for the provision of public goods. The propensity to take such responsibility may depend on beliefs about others’ behavior, even for consumers motivated by internalized moral norms, not by social sanctions. This effect can produce multiple equilibria with either high or low demand for “green” products. Permanent increases in green consumption may be achieved by imposing temporary taxes or subsidies, or through advertising that influences beliefs about others’ behavior or about external effects. If a tax is interpreted as taking responsibility away from the individual, however, taxes can reduce the influence of moral motivation.     

Estimating money demand functions for South Asian countries

In this paper, we estimate a money demand function for a panel of five South Asian countries. We find that the money demand and its determinants, namely real income, real exchange rate and short-term domestic and foreign interest rates are cointegrated both for individual countries as well as for the panel, and panel long-run elasticities provide robust evidence of statistically significant relationships between money demand and its determinants. Our test for panel Granger causality suggests short-run causality running from all variables, except foreign interest rate, to money demand, and we find evidence that except for Nepal money demand functions are stable.      

Demand Aggregation and the Weak Axiom of Stochastic Revealed Preference

We address the problem of aggregating demand across a group of consumers, who are identical in terms of wealth and face identical price vectors, but vary in their chosen consumption bundles. We show that, when a stochastic demand function is constructed to aggregate a number of deterministic demand functions, satisfaction of the weak axiom of stochastic revealed preference by this stochastic demand function is weaker than the restriction that every underlying deterministic demand function satisfy Samuelson's weak axiom of revealed preference. Journal of Economic Literature Classification Number: D11.     

How justified is abandoning money in the conduct of monetary policy in Australia on the grounds of instability in the money‐demand function?

The role of money in the design and conduct of monetary policy has reemerged as an important issue in both advanced and developing economies, especially since the 2007 global financial crisis. A growing body of recent literature suggests that the causal relationship between money supply growth and inflation remains intact across countries and over time and that this relation is not conditional on the stability of the money‐demand function or whether money is endogenous or exogenous. Moreover, critical for a rule‐based monetary policy is the presence of a long‐run stable money‐demand function, rather than a short‐run money‐demand model that may exhibit instability for many reasons, including problems with estimating a money‐demand model with high‐frequency data. Provided that a stable money‐demand function exists, it could be useful to establish long‐run equilibrium relations among money, output, prices, and exchange rates, as the classical monetary theory suggests. Within this analytical framework, this paper addresses the question of whether money has any role in the conduct of monetary policy in Australia. The conventional wisdom is that the money‐demand function in Australia has been unstable since the mid‐1980s due to financial deregulation and reforms; this led to a change in the strategy of monetary policy for price stability in the form of inflation targeting that ignores money insofar as inflation and its control are concerned. This paper reports empirical findings for Australia, obtained from a longer quarterly data series over the period 1960Q1–2015Q1, which suggest that instability in the narrow‐money‐demand function in Australia was primarily due to the exclusion of variables which have become important in the deregulated environment since the 1980s. These findings are confirmed by an expanded form of the narrow‐money‐demand function that was found stable over the past two decades, although it experienced multiple structural breaks over the study period. The paper draws the conclusion that abandoning the monetary aggregate as an instrument of monetary policy in Australia, under a rule‐based monetary policy such as inflation targeting, cannot be justified by instability in the money‐demand function or even by lack of a causal link between money supply growth and inflation.     

The income–pollution relationship and the role of income distribution: An analysis of Swedish household data

The main purpose of this study is to analyze the relationship between pollution and income at household level. The study is motivated by the recent literature emphasizing the importance of income distribution for the aggregate relation between pollution and income. The main findings from previous studies are that if the individual pollution–income relationship is non-linear, then aggregate pollution for, say, a whole country, will depend not only on average income, but also on how income is distributed. To achieve our objective we formulate a model for determining the choice of consumption of goods in different types of household. Furthermore we link the demand model to emission functions for various goods. The theoretical analysis shows that without imposing very restrictive assumptions on preferences and the emission functions, it is not possible to determine a priori the slope or the curvature of the pollution–income relation. The empirical analysis shows that, given the model used, the pollution–income relation has a positive slope in Sweden and is strictly concave for all three pollutants under study (CO₂, SO₂, NO_x), at least in the neighbourhood of the observed income for an average household. We also show that altering the prevailing income distribution, holding average income constant, will affect aggregate emissions in the sense that an equalization of incomes will give rise to an increase in emissions. One implication is then that the development of aggregate pollution due to growth depends not only on the income level, but also on how growth is distributed.     

Grain imports and food security in an unstable international market

The paper explores a decision theoretic approach to deriving excess demand functions for grain for food deficit foreign-exchange constrained developing countries. The form of excess demand functions derived is consistent with empirically observed ones. Different strategies to improve on the country's food security are investigated using the expected value of a criterion incorporating foreign exchange and the cost of not satisfying domestic requirements. The results indicate that, besides a drive toward self-sufficiency, by reducing variability of grain requirements with the help, for example, of domestic buffer stocks and by improving the domestic crop information system, a country can go a long way toward improving its international food security position.     

Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets

Summary. We prove that locally, Walras' law and homogeneity characterize the structure of market excess demand functions when financial markets are incomplete and assets' returns are nominal. The method of proof is substantially different from all existing arguments as the properties of individual demand are also different. We show that this result has important implications and is part of a more general result that excess demand is an essentially arbitrary function not just of prices, but also of the exogenous parameters of the economy as asset returns, preferences, and endowments. Thus locally the equilibrium manifold, relating equilibrium prices to these parameters has also no structure. Received: September 17, 1996; revised version: November 7, 1997     

The Choquet Bargaining Solutions

We axiomatically investigate the problem of rationalizing bargaining solutions by social welfare functions that are linear in every rank-ordered subset of Rⁿ₊ . Such functions, the so-called Choquet integrals, have been widely used in the theories of collective and individual choice. We refer to bargaining solutions that can be rationalized by Choquet integrals as Choquet bargaining solutions. Our main result is a complete characterization of Choquet bargaining solutions. As a corollary of our main result, we also obtain a characterization of the generalized Gini bargaining solutions introduced by Blackorby et al. (1994, Econometrica62, 1161–1178). Journal of Economic Literature Classification Numbers: D71, C78.     

Continuous enough

In this paper we give a global condition on the cost function which is necessary and sufficient for continuity of the corresponding production function. A cost function satisfying this condition is ‘continuous enough’ in the sense discussed by Diewert (1974).     

Modelling price pressure in financial markets

We present experimental evidence that, unlike traditional assumptions in economic theory, security prices do not respond to pressure from their own excess demand. Instead, prices respond to excess demand of all securities, despite the absence of a direct link between markets. We propose a model of price pressure that explains these findings. In our model, agents set order prices that reflect the marginal valuation of desired future holdings, called “aspiration levels.”In the short run, as agents encounter difficulties executing their orders, they scale back their aspiration levels. Marginal valuations, order prices, and hence, transaction prices change correspondingly. The resulting price adjustment process coincides with the Global Newton Method. The assumptions of the model as well as its empirical implications are fully borne out by the data. Our model thus provides an economic foundation for why markets appear to search for equilibrium according to Newton’s procedure.     

An Afriat Theorem for the collective model of household consumption

We provide a nonparametric ‘revealed preference’ characterization of rational household behavior in terms of the collective consumption model, while accounting for general individual preferences that can be non-convex. Our main result is the Collective Afriat Theorem, which parallels the well-known Afriat Theorem for the unitary model. First, it provides a characterization of collectively rational consumption behavior in terms of collective Afriat inequalities. Next, it implies the Collective Axiom of Revealed Preference (CARP) as a testable necessary and sufficient condition for data consistency with collective rationality. Finally, the theorem has some interesting testability implications. With only a finite set of observations, the nature of consumption externalities (positive or negative) in the intra-household allocation process is non-testable. The same non-testability conclusion holds for privateness (with or without externalities) or publicness of consumption. By contrast, concavity of individual utility functions (representing convex preferences) turns out to be testable. In addition, monotonicity is testable for the model that assumes all household consumption is public.     

Budget preferences and direct utility

This paper extends a result of Sakai, who presented conditions for indirect preferences from which a utility function can be deduced if demand is single valued. It will be shown that—adding a “partial Lipschitz condition”—Sakai's theorem can be extended to multi-valued demand. Our result follows from the extension of a theorem of Hurwicz and Richter, who have shown that, under certain hypotheses on demand correspondences, an upper semicontinuous utility function f exists, so that the set of utility maximal elements μ_f(B) is contained in the choice set h(B) for every budget B. By our partial Lipschitz condition h(B) ?- μ_f(B) also follows.     

Rebate rules in threshold public good provision

This paper considers how six alternative rebate rules affect voluntary contributions in a threshold public-good experiment. The rules differ by (1) whether an individual can receive a proportional rebate of excess contributions, a winner-takes-all of any excess contributions, or a full rebate of one's contribution in the event the public good is provided and excess contributions exist, and (2) whether the probability of receiving a rebate is proportional to an individual's contribution relative to total contributions or is a simple uniform probability distribution set by the number of contributors. The paper adds to the existing experimental economics literature on threshold public goods by investigating both aggregate and individual demand revelation under the winner-take-all and random full-rebate rules. Half of the rules (proportional rebate, winner-take-all with uniform probability among all group members, and random full-rebate with uniform probability) provide total contributions that nearly equal total benefits, while the rest (winner-take-all with proportional probability, winner-take-all with uniform probability among contributors only, and random full-rebate with proportional probability) exceed benefits by over 30%. Only the proportional rebate rule is found to achieve both aggregate and individual demand revelation. Our experimental results have implications for both fundraisers and valuation practitioners.     

资产价格、通胀率与我国流动性过剩规模

现有衡量流动性过剩规模的方法存在许多不足。通过借鉴水力学理论可以推导出中国货币需求函数,以此估算我国的流动性过剩规模。在此基础上,通过Granger检验,发现流动性过剩规模与股价、房价和通胀率的走势较吻合。因此,我们可以利用流动性过剩的机会深化金融市场的改革与创新;引导流动性流向金融市场,避免房地产市场的资产价格泡沫;将货币政策与产业政策紧密配合;选择适当的货币政策工具调控流动性。     

Uniqueness of Positive Fixed Points for Increasing Concave Functions on : An Elementary Result

The square root function has a unique positive fixed point. This function has the following properties: it is strictly increasing and strictly concave, with f(0) = 0, and there are points a ≥ 0 and b ≥ 0 such that f(a) ≥ a and f(b) ≤ b. It is shown that any function from ⁿ to ⁿ satisfying these properties has a unique positive fixed point. Journal of Economic Literature Classification Number: C62.     

Assessing the role of futures position substitutability in a monthly slaughtered pork factor demand by US processors: a cointegrated VAR model approach

This article combines cointegrated VAR modelling with basic neoclassical production microeconomics in a new way that tests for, and illuminates the empirical nature of, the monthly US pork processing sector’s factor demand for slaughtered pork. Statistical evidence strongly suggests that the US pork processing sector has a Hicksian Cobb–Douglas slaughtered pork demand that arises from applying Shephard’s lemma to the sector’s cost function and that US pork processors treat slaughtered pork and related futures positions as close factor substitutes. In the wake of major and ongoing futures market events and trends, this study establishes and statistically tests a theoretical link between futures price movements and impacts on the underlying slaughtered pork market through monthly formation of US pork processors’ factor demand for slaughtered pork. Evidence suggests that demand agents shift between demands for the two substitutes based on movements in the slaughter/futures price ratio that results in a market-stabilizing cushion against sharp pork price movements such as those observed in the late-1990s. Statistical and diagnostic evidence suggests that our modelled non-experimental data and estimated Hicksian demand that arose from the cointegrated VAR model’s cointegration space met Haavelmo’s setting of passive variables and associated ceteris paribus conditions.     

Modelling inbound international tourism demand in small Pacific Island countries

ABSTRACT

In this study, we estimate inbound international tourism demand models at the individual source market-destination and overall destination levels for Fiji, Cook Islands, Tonga and Vanuatu from 2002Q1 to 2016Q2 and Samoa from 2002Q4 to 2015Q3. Tourism demand is measured by visitor arrivals, tourism prices, the source country’s real GDP, tourism prices in substitute destinations, seasonality and structural breaks, all of which are considered plausible determinants. The models are estimated using the ARDL-bounds approach, structural breaks are identified using the Bai and Perron break test, and seasonality is tested using the US Census Bureau’s X-13 ARIMA-SEATS methodology. The study is important because it presents new evidence on price, income, and substitute price sensitivity, word of mouth, seasonality, and structural-breaks effects in Pacific island destinations.