Haggling over substitutes

Using a model of substitutable goods I determine generic conditions on tastes which guarantee that fixed prices are not optimal: the fully optimal tariff includes lotteries. That is, a profit maximising seller would employ a haggling strategy. We show that the fully optimal selling strategy in a class of cases requires a seller to not allow themselves to focus on one good but to remain haggling over more than one good. This throws new light on the selling strategies used in diverse industries. These insights are used to provide a counter-example to the no lotteries result of McAfee and McMillan (J. Econ. Theory 46 (1988) 335).     

Illiquidity, position limits, and optimal investment for mutual funds

We study the optimal trading strategy of mutual funds that face both position limits and differential illiquidity. We provide explicit characterization of the optimal trading strategy and conduct an extensive analytical and numerical analysis of the optimal trading strategy. We show that the optimal trading boundaries are increasing in both the lower and the upper position limits. We find that position limits can affect current trading strategy even when they are not currently binding and other seemingly intuitive trading strategies can be costly. We also examine the optimal choice of position limits.     

Price discrimination via information provision

We study price discrimination where different prices are offered as a bundle with different levels of information about a product. The seller’s price discrimination induces high valuation buyers to purchase a good without information and low valuation buyers to purchase with information. Our analysis highlights several interesting results about price discrimination: (i) the seller’s choice of information provision is the combination of full information and no information, (ii) products can be cheaper without information provision than with information provision, (iii) as a result of price discrimination, prices can be more dispersed as buyers’ valuations become largely similar, and (iv) the high valuation buyers purchase a damaged good and may earn negative surplus. Furthermore, we investigate under which circumstances price discrimination is more profitable than uniform pricing. We show that a decline in transportation costs which facilitate price discrimination can be welfare reducing.     

Strategic intergenerational bequests with stochastic convex production

Summary This note reconsiders the well-known model of strategic bequest/ altruistic growth, but with stochastic production satisfying a strong convexity condition: The probability that the next stock exceeds any given level is concave in investment. Existence of a Markov-stationary equilibrium consumption schedule, which is continuous and with all slopes in [0,1], is established. Under smooth data and interiority assumptions, this schedule is differentiable, and marginal consumption is in (0,1). This property allows for a rigorous and straightforward treatment of the equilibrium characterization problem.The author is grateful to Wolfgang Leininger for helpful discussions on the subject of this paper. This research work was carried out while the author was visiting C.O.R.E., Belgium and the University of Dortmund, Germany. The author wishes to thank both institutions for providing a great work environment as well as financial support from the projects Markets as Games and Marktstruktut und Gesamtwirtschaftliche Entwicklung, respectively.     

Non-addictive habits: optimal consumption-portfolio policies

We formulate a model of preferences with non-addictive habits, where consumption is required to be non-negative at all times, but can fall below a “standard of living” index that aggregates past consumption. We study the consumption-portfolio problem taking account of the non-negativity constraint on consumption, and provide a constructive proof for the existence of an optimal policy on a finite time-horizon [0,T]. We show that the consumption constraint binds up to an endogenous stopping time τ∗∈[0,T], after which it remains slack until T. A decomposition of constrained consumption involving an Asian average-strike capped call-option is demonstrated.     

The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint

In life-cycle models of saving under uncertain lifetime and borrowing constraint, the consumer's wealth must be depleted before the maximum lifetime. This paper investigates the existence, uniqueness, and optimality of the terminal wealth depletion time. It is proved that the optimal terminal wealth depletion time, if such exists, must be unique. If the equation that determines the optimal terminal wealth depletion has multiple solutions, then the location of the optimal solution will depend on the configuration of the solutions. An optimality test is developed to verify whether a candidate solution for the terminal wealth depletion time is indeed optimal. The paper introduces a method new to economics, the Dubovitskii-Milyutin adjoint equation, to analyze the properties of the optimal control problem.     

Locational choice and price competition: some empirical results for the austrian retail gasoline market

Using data from the Austrian retail gasoline market we find that a higher station density reduces average prices. Market (i.e. ownership) concentration does not significantly affect average price, however is negatively related to the density of stations. Estimation of the pricing and entry equations as simultaneous equations does not alter our conclusions, and suggests causality running from station density to price. We argue that the spatial dimension of markets allows the identification of market conduct, which is particularly relevant for competition policy.

Do Slotting Allowances Harm Retail Competition?*

Slotting allowances are fees paid by manufacturers to get access to retailers' shelf space. Both in the USA and Europe, the use of slotting allowances has attracted attention in the general press as well as among policy makers and economists. One school of thought claims that slotting allowances are efficiency enhancing, while another school of thought maintains that slotting allowances are used in an anti‐competitive manner. In this paper, we argue that this controversy is partially caused by inadequate assumptions of how the retail market is structured and organized. Using a formal model, we show that there are good reasons to expect anti‐competitive effects of slotting allowances. We further point out that competition authorities tend to use an unsatisfactory basis for comparison when analyzing welfare consequences of slotting allowances.     

Upstream regulation in mature network industry: evidence from Nordic mobile telecommunications markets

This article investigates the effects of upstream regulation that aims to create niches and attract new type of entrants on the competitive environment of downstream markets. Using unique cross-country data of Nordic mobile telecommunications markets, we show that upstream regulation leads to (i) increases in both number and aggregate market share of service-based providers in the downstream market, (ii) an increase in the number of service-based providers, thus increasing their aggregate market share, but no opposite direction of results and (iii) a lower retail price level, proxied by average revenue per user. Our findings imply that upstream regulation may be able to achieve better outcomes when the policy objectives are to revitalize mature network industries and to enhance consumer welfare.     

The endowment effect and intertemporal choice: a laboratory investigation

We present a laboratory investigation of intertemporal choice (i.e., elicited discount rates) allowing for the influence of the endowment effect. Consistent with the previous literature, we hypothesize that the endowment effect in an intertemporal choice setting results in substantially higher discount rates relative to when individuals treat the resources in question as found money. Our results support this hypothesis and our experimental design provides a new protocol for conducting choice experiments wherein the endowment effect is an important determinant of behaviour.     

A ONE-SECTOR NEOCLASSICAL GROWTH MODEL WITH ENDOGENOUS RETIREMENT

This paper extends Diamond's overlapping generations model by allowing the agents to make the retirement decision. Earning a higher wage income when young not only enables the agents to save more. It also induces more agents to retire early and gives an additional incentive to save more for retirement. This leads to a higher capital–labour ratio in the following period and hence the next generation of agents earns a higher wage income when young. Due to this positive feedback mechanism, endogenous retirement magnifies the persistence of growth dynamics and even generates multiple steady-states for empirically plausible parameter values.