A DYNAMIC ENTRY AND PRICE GAME WITH CAPACITY INDIVISIBILITY

Strategic market interaction is here modelled as a two‐stage game in which potential entrants choose capacities and next active firms compete in prices. Due to capital indivisibility, the capacity choice is made from a finite grid and there are economies of scale. In the simplest version of the model with a single production technique, the equilibrium turns out to depend on the ratio between the level of total output at the long‐run competitive equilibrium and the firm's minimum efficient scale: if that ratio is sufficiently large (the market is sufficiently ‘large’), then the competitive price emerges at a subgame‐perfect equilibrium of the capacity and price game; if not, then the firms randomize in prices on the equilibrium path. The role of the market size for the competitive outcome is shown to be even more important if there are several available production techniques.     

Efficiency in an Economy with Fixed Costs

It is by now well known that in an economy with increasing returns, first-best efficiency may be impossible to attain through an equilibrium concept based on market prices, even if firms are regulated to follow marginal cost pricing. We examine the efficiency issue in a special but important class of economies in which the only source of nonconvexities is the presence of fixed costs. Even in this context, it is possible that none of the equilibria based on marginal cost pricing are efficient (unless additional, strong assumptions are made). We argue that available results on the existence of an efficient two-part tariff equilibrium rely on very strong assumptions, and we provide a positive result using a weak surplus condition. Our approach can also be used to establish the existence of an efficient marginal cost pricing equilibrium with endogenously chosen lump-sum taxes if the initial endowment is efficient in the economy without the production technology.     

Economies with observable types

We study economies of asymmetric information with observable types. Trade takes place in lotteries. Individuals face a standard budget constraint, while the incentive compatibility constraints are imposed on the production set of the intermediaries. This formalization encompasses moral hazard, as in [Jerez, 2003] and [Jerez, 2005], and private information economies. Equilibrium allocations are constrained efficient, but, contrary to what stated for example in Jerez (2005), the set of equilibrium allocations may be empty and the Second Welfare Theorem may fail. This happens for two reasons. First, constrained efficient allocations may violate the necessary and sufficient conditions of price supportability for the individuals. Second, even when constrained efficient allocation are price supportable, they may fail to be a profit maximizing choice of the firm at the individual supporting prices. To restore existence of an equilibrium the firm has to be restricted to supply allocations with support in the set of incentive compatible contracts.     

Specific taxation,asymmetric costs,and endogenous quality

This paper shows how a specific tax—in contrast to an ad valorem tax—alters industry structure and firm-level performance in a monopolistic competition framework, where firms chose product quality endogenously and differ exogenously in productivity (i.e., marginal production efficiency). Industry equilibrium mechanisms and selection based on productivity play a significant role: A specific tax shifts market shares and profits toward firms with costs and prices above the industry average at the expense of low-cost firms. This reallocation of market shares releases a novel scale effect such that low-cost firms may quality downgrade, while high-cost firms always quality upgrade. There exists a parameter subspace, where this combines to a decrease on average quality for the industry. In comparison: An ad valorem tax only reduces the number of firms/varieties in the industry due to demand absorption, but affects neither firm-level performance nor industry structure.     

The influence of black markets on a queue-rationed centrally planned economy

In centrally planned economies in which prices are fixed, and the rationing mechanism is waiting line queues, we show that an equilibrium of waiting times exists. We then introduce a “black market” in which individuals can trade commodities that they have acquired through the official economy. An equilibrium of black market prices and waiting times is shown to exist; further, the economy with a black market is “queue-efficient.”. However, the introduction of black markets is not necessarily a Pareto improvement over an economy without black markets (even when we allow winners to compensate losers).     

Firm routines,customer switching and market selection under duopoly

This paper explores the dynamics of market selection for an industry in which firms employ relatively simple pricing, production and investment routines and in which consumers switch between rival firms in response to price differentials but do not all do so instantaneously. The key issue is whether market processes result in the elimination of less efficient firms by their more efficient rivals. That is to say, do such processes unfailingly increase the efficiency with which available economic resources are used? In the context of duopoly, we show that the survival of the more efficient firm is not guaranteed and that, more generally, the outcome depends upon the speeds with which firms adjust prices and capacities and with which customers switch between rival firms.     

General equilibrium in economies with adverse selection

We model economies of adverse selection as Arrow–Debreu economies. In the spirit of Prescott and Townsend (Econometrica 52(1), 21–45, 1984a), we identify the consumption set of the individuals with the set of lotteries over net transfers. Thus, prices are linear in lotteries, but they may be non linear in commodity bundles. First, we study a weak equilibrium notion by viewing the economy of adverse selection as a pure exchange economy. The weak equilibrium set is non empty, but some of the allocations may be inefficient, and the equilibria indeterminate. Second, following Prescott and Townsend (Econometrica 52(1), 21–45, 1984a), we introduce an intermediary (firm) supplying feasible and incentive compatible measures. Equilibria are constrained efficient, but the equilibrium set is empty for an open set of economies containing the Rothschild and Stiglitz insurance economies. The research of A. Rustichini was supported by the NSF grant NSF/SES-0136556.     

Incentives for Discrimination when Upstream Monopolists Participate in Downstream Markets

A regulated upstream monopolist supplies an essential input to firms in a downstream market. If an upstream monopolist vertically integrates downstream, non-price discrimination becomes a concern. Discrimination always arises in equilibrium when the vertically integrated provider (VIP) is no less efficient than its rivals in the downstream market, but it does not always arise when the VIP is less efficient than its rivals. Numerical simulations that parameterize the regulator's ability to monitor discrimination in the case of long-distance telephone service in the U.S. reveal that pronounced efficiency differentials are required for the incentive to discriminate not to arise in equilibrium.     

INTERNATIONALIZATION STRATEGIES IN OLIGOPOLY WITH HETEROGENEOUS FIRMS

This paper examines the foreign direct investment (FDI) versus exports decision of foreign oligopolistic firms under cost heterogeneity. An additional motivation for firms to invest abroad is the technological sourcing via spillovers, which flow from the host more efficient firm to foreign less advantaged firms. For intermediate values of the set‐up costs associated with FDI entry, it is shown that foreign firms choose opposite entry strategies. An equilibrium where the less efficient foreign firm exports whereas the more efficient invests is more likely to happen when foreign firms become more heterogeneous, the larger the trade costs and not too big oligopolistic profitability. Interestingly, the opposite may also be an equilibrium thus finding that the more efficient firm does not choose to invest, a result that emphasizes the relevance of the strategic setting under consideration. The latter result identifies a market failure since welfare in the host market is higher when both firms undertake FDI; a finding that calls attention to how appropriate are host government policies towards internationalization strategies.     

Dynamic Externalities and Policy Coordination

The paper introduces trade into dynamic models with externalities and capital accumulation, and evaluates the efficiency of the Cournot–Nash equilibrium. It considers mixed economies characterized by a blend of strategic and nonstrategic sectors. Also, there are two sources of interdependence: the existence of production externalities and the endogenous determination of market prices. It is shown that policy coordination is not needed when preferences are the same. In this case, the production externalities are internalized, so that an inefficient solution becomes the efficient integrated world equilibrium due to trade.     

Auctions as coordination devices

This paper develops an economic argument relating auctions to high market prices. At the core of the argument is the claim that market competition and bidding in an auction should be analyzed as part of one game, where the pricing strategies in the market subgame depend on the bidding strategies during the auction. I show that when there are two licenses for sale the only equilibrium in the overall game that is consistent with the logic of forward induction is the one where firms bid an amount (almost) equal to the profits of the cooperative market outcome and follow a cooperative pricing strategy in the market game resulting in high prices. With three or more licenses the auction format co-determines whether or not the forward induction argument works.     

Price and Quantity Competition in a Differentiated Duopoly With Network Compatibility Effects

We consider the efficiency of price and quantity competition in a network products market, where we observe product compatibility with network externalities (hereafter, network compatibility effects). In particular, if network compatibility effects between firms are sufficiently asymmetric, the Cournot equilibrium is more efficient than the Bertrand equilibrium in terms of larger consumer, producer and total surpluses. Then, we consider an endogenous choice of the strategic variables, price and quantity. If the degree of network compatibility effects of the rival firm is larger (smaller) than the degree of product substitutability, then choosing prices (quantities) is a dominant strategy for the firm. Thus, if the network compatibility effects of both firms are larger (smaller), the Bertrand (Cournot) equilibrium arises. Furthermore, if the network compatibility effects between the firms are sufficiently asymmetric, the firm with a larger (smaller) network compatibility effect than a certain level of product substitutability chooses quantities (prices). In this case, the Cournot–Bertrand equilibrium arises, which is less (more) efficient than the Cournot equilibrium in terms of consumer (producer) surplus.     

Monopolistic competition and the cyclicality of pricing and productivity—A typology of industries

We develop a market model which explains how prices and productivity react to short-run demand variations when the number of price-setting firms is held fixed on its long-run level and profits are endogenous. We assume that for each firm the average production cost function is U-shaped, that customers are imperfectly informed about offer prices, and that customers may search for better offers.For low degrees of market transparency the long-run market outcome exhibits price dispersion with an endogenous finite number of firms. In this case, in the short run, prices and price mark-ups respond countercyclically to demand variations (while input prices are exogenously fixed) and productivity is procyclical. In the complementary case of higher degrees of market transparency, in the long run we have a single-price equilibrium. In that case, in the short run, prices are procyclical while mark-ups remain countercyclical and productivity diminishes with any deviation of demand from its long-run level.Thanks for helpful discussions go to the participants of workshops at the Winter Symposium of the Econometric Society at Warsaw 1990, at the 6th World Congress of the Econometric Society at Barcelona 1990, at the Annual Meetings of the Verein für Socialpolitik in Lugano 1991 and of its Ausschuß für Industrieökonomik in Basel 1992, and at several university workshops. Thanks go also to two anonymous referees. Financial support by the Swiss National Science Foundation, grants No 12-26387.89 and 12-28722.90, are gratefully acknowledged.     

Nonminimal product differentiation as a bargaining outcome

It is well known that in a duopoly model of product choice with quadratic transportation cost, the firms locate at the extreme endpoints of the market. Jehiel (1992, Int. J. Ind. Organ, 10, 633–641) has examined this model in an infinite horizon setting where in the initial period the firms choose location and in subsequent periods charge the Nash bargaining solution prices. Then, in the unique equilibrium both firms locate at the center of the market. This paper examines the case when the firms instead charge the prices determined by either the egalitarian bargaining solution or the Kalai–Smorodinski bargaining solution. It is shown that central agglomeration is an equilibrium. Furthermore, there is a continuum of symmetric equilibria in addition where the firms locate apart from each other. So the products are not necessarily minimally differentiated. Thus different bargaining solutions provide quite different outcomes.     

EFFICIENCY AND SURVIVAL: THE IMPACT OF THE INTERNATIONAL COFFEE AGREEMENT'S DEMISE ON COSTA RICA'S COOPERATIVE COFFEE PROCESSING, 1988–2005

ABSTRACT ** :  This paper uses a profit per member (or dividend) frontier model to analyze the impact of the 1989 demise of the International Coffee Agreement on a group of Costa Rican coffee processing cooperatives. Firm-level data on costs span the period from 1988/89 to 1992/93 and information on cooperative survival covers 1988/89 to 2004/05. The more efficient member-owned enterprises survived the crisis. An increasing cost of servicing the smallest farmers may constitute an incentive to restrict membership, however. Dividends fall as investor-owned firms compete to buy farmers' raw coffee. Still, member loyalty does enable cooperative processors to maintain scale economies and market share. Despite several bankruptcies, cooperative firms in Costa Rica processed 40 percent of the national crop in 2004/05, the same proportion as in 1988/89.     

Strategic interaction between futures and spot markets

We study an oligopolistic industry where firms are able to sell in a futures market at infinitely many moments prior to the spot market. A kind of Folk-theorem is established: any outcome between perfect competition and Cournot can be sustained in equilibrium. We then find that the Cournot outcome can be sustained by a renegotiation-proof equilibrium. However, this is not true for the competitive outcome. Furthermore, only the monopolistic outcome is renegotiation-proof if firms can buy and sell in the futures market. These results suggest, contrary to existing literature, that the introduction of futures markets may have an anti-competitive effect.     

Three minimal market institutions with human and algorithmic agents: Theory and experimental evidence

We define and examine three minimal market games (sell-all, buy–sell, and double auction) in the laboratory relative to the predictions of theory. These closed exchange economies have some cash to facilitate transactions, and include feedback. The experiment reveals that (1) the competitive general equilibrium (CGE) and non-cooperative (NCE) models are reasonable anchors to locate most but not all the observed outcomes of the three market mechanisms; (2) outcomes tend to get closer to CGE predictions as the number of players increases; (3) prices and allocations in double auctions deviate persistently from CGE predictions; (4) the outcome paths across the three market mechanisms differ significantly and persistently; (5) importance of market structures for outcomes is reinforced by algorithmic trader simulations; and (6) none of the three markets dominates the others across six measures of performance. Inclusion of some mechanism differences into theory may enhance our understanding of important aspects of markets.     

Ascending price Vickrey auctions

We show that an ascending price auction for multiple units of a homogeneous object proposed by Ausubel (i) raises prices for packages until they reach those nonlinear and non-anonymous market clearing prices at which bidders get their marginal products and (ii) the auction is a primal–dual algorithm applied to an appropriate linear programming formulation in which the dual solution yields those same market clearing prices. We emphasize the similarities with efficient incentive compatible ascending price auctions to implement Vickrey payments when there is a single object or when objects are heterogeneous but each buyer does not desire more than one unit. A potential benefit of these common threads is that it helps to establish the principles upon which Vickrey payments may be implemented through decentralized, incentive compatible procedures.     

An Unequal Spatial Structure of Location and Price with Consumer Density*

This paper incorporates the interdependent relationship of firms and the increasing consumer density into a framework of spatial equilibrium analysis, and studies the location of firms and the price system on a plane market. As consumer density increases, symmetric equilibrium is established initially for the first- and the second-round entry of firms, but this equilibrium becomes unequal later for the third and the fourth rounds. This fact means that in spatial equilibrium, even if all firms sell identical goods on a plane market, mill prices and market area sizes will differ.     

Lack of commitment to future privatization policies may lead to worst welfare outcome

We investigate the welfare consequences of a lack of commitment to future privatization policies. The government implements a privatization policy after the competition structure is determined by the entry of private firms. We find that in an equilibrium, the government fully privatizes (nationalizes) a public firm if private firms expect that the government fully privatizes (nationalizes) the public firm. This is because an increase in the number of firms entering a market increases the government's incentive to privatize the public firm, which mitigates future competition and stimulates entries. The full-privatization equilibrium is the worst privatization policy among all possible (either equilibrium or non-equilibrium) privatization policies for welfare because it causes excessive market entry of private firms. Partial commitment of a minimal public ownership share may mitigate this problem.