Monopolistic third-degree price discrimination under vertical product differentiation

This paper shows in a vertical product differentiation model with variable costs of quality that monopolistic third-degree price discrimination always reduces welfare regardless of whether the quality is fixed or is endogenous. The results provide rich implications for antitrust policy.     

Fixed export cost heterogeneity, trade and welfare

Recent literature on the workhorse model of intra-industry trade has explored heterogeneous cost structures at the firm level. These approaches have proven to add realism and predictive power. This paper presents a new and simple heterogeneous-firms specification. We develop a symmetric two-country intra-industry trade model where firms are of two different marginal cost types and where fixed export costs are heterogeneous across firms. This model traces many of the stylized facts of international trade. However, we find that with heterogeneous fixed export costs there exists a positive bilateral tariff that maximizes national and world welfare.     

Licensing under vertical product differentiation: Price vs. quantity competition

This paper develops a duopoly model of vertical product differentiation where two domestic firms incur variable costs of quality development. These domestic firms can purchase a superior foreign technology through licensing. Outcomes between Bertrand and Cournot competition are compared. We find that licensing raises domestic welfare, and domestic welfare is higher in Bertrand than in Cournot competition regardless of whether or not domestic firms engage in licensing. Non-exclusive licensing is also found to benefit the domestic country more than exclusive licensing.     

An exact relation between willingness to pay and willingness to accept

I present a simple and precise relationship between the willingness-to-pay and the willingness-to-accept, or equivalently between the compensating and equivalent variations following an exogenous welfare change. One can be computed given the other as a function of income.     

Semi-parametric discrete choice measures of willingness to pay

A semi-parametric discrete choice method is proposed to recover welfare measures from individual choice data. The proposed method is compared with the traditional binary choice models in an application to measure benefits of recreation trips.     

Temporal insensitivity of willingness to pay and implied discount rates

A number of studies have defined and tested the temporal sensitivity of willingness to pay to payment schemes and the resulting implied discount rates for environmental projects. We demonstrate that those studies have imposed restrictive assumptions on the structure of the willingness to pay function and the underlying decision process. We investigate the temporal sensitivity of willingness to pay using a new temporal willingness to pay function applied to a proposed oyster reef restoration program. We find that (1) holding the length of the project constant, the temporal willingness to pay for the project is the same across different payment schemes, (2) temporal willingness to pay does not vary significantly across projects of varying lengths, and (3) estimated discount rates are low relative to previous studies, but vary significantly across payment schemes and project lengths.     

On the willingness to pay to reduce risks of small losses

While willingness to pay is a common concept to measure the benefit gained from a reduction in the probability of loss, it is still questionable how it is linked to risk aversion and risk elimination behaviors, and how it is affected by the presence of an exogenous source of risk. By focusing only on risks of small losses, this article sheds light on these three issues and provides new results on the determinants of the willingness to pay.      

Cartel sustainability with vertical product differentiation: Price versus quantity competition

In the context of a vertically differentiated duopoly, we analyse the influence of the degree of differentiation on cartel sustainability, under both price and quantity competition. We find that, under both Bertrand and Cournot competition, the effect of vertical product differentiation on sustainability of the collusive equilibrium is unclear. It is shown that, given a degree of differentiation, price collusion is more sustainable than quantity collusion.     

A comparison of empirical models used to infer the willingness to pay in contingent valuation

The essence of the contingent valuation method consists of creating a hypothetical market where respondents are asked about their willingness to pay (WTP) for a non-market good. Different empirical models can be formulated to estimate the expected WTP of a sample of respondents and, then, through aggregation, the social valuation of the good is inferred.This paper outlines the relevance of the distributional assumptions when estimating mean WTP. Several parametric and non-parametric methods are discussed and applied to calculate the existence value of a natural space. Results show that WTP is extremely sensitive to the empirical model used.First version received: November 2002 / Final version received: January 2004     

Joint estimation of discount rates and willingness to pay for public goods

We analyze willingness to pay (WTP) for environmental programs whose time periods of benefit and repayment differ, using a net present value framework that identifies parameters of both WTP and personal discount rates. Respondents to a contingent valuation survey focusing on protection of critical habitat buffer zones for the endangered Steller Sea Lion in Alaska were asked their willingness to pay for 1-, 5-, and 15-year repayment periods. We jointly estimate the personal discount rates and WTP via maximum likelihood, and compare with a model assuming a fixed, market discount rate.     

Deterministic heterogeneity in tastes and product differentiation in the K-logit model

In this paper we use the K-deformed multinomial logit model to study product differentiation. The focus is on the economic interpretation of the deformation parameter which is the key parameter of this model. Then we establish the relationship between this parameter and probability choice, price elasticity and markup.     

Product differentiation and welfare: Comment

In general it may be argued that the monopolistically competitive industry is not consistent as viewed from the game-theoretic point of view, and it ignores the strategic aspects of competition. This comment points out specifically how the welfare implications derived from a Nash equilibrium model in which the goods are imperfectly substitutes used by Spence in many articles are incorrect. The total quantities offered by firms at Nash equilibria within this model and those of the market demand curve at the same price levels are not equal. All emanate from the misspecification of the price equation with substitutable goods by Spence which is not appropriate for the Nash equilibria model with many firms. Moreover, some other very important papers of Spence which follow are critisized for the same mathematical contradiction.     

Endogenous private safety investment and the willingness to pay for mortality risk reductions

When individuals cannot undertake safety-improving expenditures, the effect of an increase in the initial risk on the willingness to pay (WTP) for mortality risk reduction is positive because of the dead-anyway effect. When they can undertake safety-improving expenditures, the effect of an increase in the initial risk is governed by two effects: The dead-anyway effect which is positive and the high-payment effect which is negative. We treat the two types of risk-reducing expenditures, endogenous and exogenous, as inputs in a safety-improving technology function and find conditions that guarantee that the high-payment effect dominates.     

Housing crowding in developing countries and willingness to pay for additional space: The case of Korea

The very rapid rates of urban population growth in developing countries is placing great strain on their housing stock. Housing policies which are aiming at reducing or eliminating crowding are generally based on notions of ‘needs’ and ‘standards of adequacy’ which are more often based on arbitrarily selected criteria than on domestic economic conditions. The aim of this paper is to evaluate the willingness to pay for the additional housing space by households and the validity of target housing standards. The three methods used show consistently that — at least in Korea — the willingness to pay for additional space is less than 25 percent of the value of an extra unit of space, everything else being equal.     

Profitability of price and quantity strategies in a duopoly with vertical product differentiation

Using a model according to Mussa and Rosen (1978) and Bonanno and Haworth (1998) we consider a sub-game perfect equilibrium of a two-stage game in a duopolistic industry in which the products of the firms are vertically differentiated. In the industry, there are a high quality firm and a low quality firm. In the first stage of the game, the firms choose their strategic variables, price or quantity. In the second stage, they determine the levels of their strategic variables. We will show that, under an assumption about distribution of consumers' preference, we obtain the result that is similar to Singh and Vives (1984)' proposition (their Proposition 3) in the case of substitutes with nonlinear demand functions. That is, in the first stage of the game, a quantity strategy dominates a price strategy for both firms. Received: April 23, 1999; revised version: May 31, 2000     

A welfare analysis of tariffs and equivalent quotas under demand uncertainty: Implications for tariffication

Under market demand uncertainty, we show that quotas can result in a welfare advantage over tariffs for an importing country despite that its government does not capture any quota rents. Specifically, the conditions under which an equivalent quota yields higher expected welfare than a tariff are shown to depend on a set of economic variables. These variables include the initial tariff rate, the relative efficiency in production between home and foreign firms, the probability distribution of random demand shocks that make the quota binding or non-binding under uncertainty, as well as the variance of the stochastic market demand. The analysis of this paper has welfare implications for tariffication.     

Altruistic, egoistic and biospheric values in willingness to pay (WTP) for wildlife

We attempt to measure general attitudes and ethical beliefs towards preservation, as well as the importance of each of the three considered value orientations (biospheric, egoistic and altruistic) in WTP estimates. In the present study, we apply the GAC scale to a contingent valuation exercise for the recovery of the common murre (Uria aalge) in Galicia (Spain). Up to now, only a few studies in the field of environmental and ecological economics have analyzed value orientations under the Environmental Concern (EC) framework, obtaining mixed results. In the present work, we conclude that ethical aspects affect the individuals decision making process, and that value orientations play an important role in the pro-environmental attitude formation. These value orientations affect willingness to pay (WTP) estimates for environmental goods.     

The effect of distance on willingness to pay values: a case study of wetlands and salmon in California

Most contingent valuation studies in the literature utilized a pre-determined geographic market area for their sample frame. In other words, they did not include variables that would measure the extent of the geographic areas over which to aggregate willingness to pay. These studies implicitly assumed that the effects of geographic distance were moot; an assumption that could have led to an understatement of the aggregate benefit values computed in these studies. The overall goal of this study was to determine if distance affects willingness to pay for public goods with large non-use values. The data used came from a contingent valuation study regarding the San Joaquin Valley, CA. Respondents were asked about their willingness to pay (WTP) for three proposed programs designed to reduce various environmental problems in the Valley. A logit model was used to examine the effects of geographic distance on respondents' willingness to pay for each of the three programs. Results indicate that distance affected WTP for two of the three programs (wetlands habitat and wildlife, and the wildlife contamination control programs). We calculate the underestimate in benefits if the geographic extent of the public good market is arbitrarily limited to one political jurisdiction.