Equilibria with Increasing Returns: Sufficient Conditions on Bounded Production Allocations

This paper deals with the existence of marginal pricing equilibrium or equilibrium with general pricing rules in an economy with increasing returns to scale or more general types of nonconvexities in production. Its main contribution is to demonstrate existence of equilibrium with bounded loss and survival assumptions required only on a bounded subset of production allocations. Furthermore, we require only a weakened form of the free‐disposal assumption and we also allow nonpositive prices.     

Pricing inputs to induce efficient Make-or-Buy decisions

We investigate input pricing regimes that induce efficient Make-or-Buy decisions by entrants when there is constant returns in the production of the input(s) and simultaneous noncooperative price competition in downstream retail markets. Necessary and sufficient conditions for efficient Make-or-Buy decisions are derived. The necessary condition shows that input prices are relevant for Make-or-Buy decisions except under restrictive and often unverifiable assumptions on the demand structure, and that the least informationally-demanding way to ensure efficient Make-or-Buy decisions is to price inputs at marginal cost provided changes in the entrant’s cost have a “normal” effect on the entrant’s profit. The conditions also show that pricing the incumbent’s input at the entrant’s marginal cost always ensures efficient Make- or-Buy decisions. The extent to which input prices can depart from marginal cost while still inducing efficient Make-or-Buy decisions increases with the efficiency differential between the incumbent and entrant and with the demand displacement ratio.      

Consumption externality, efficiency and optimal taxation in one-sector growth model

In an economy with consumption externalities, existing studies find that a competitive equilibrium is efficient in the long run and remains efficient in transitions if preferences are homothetic. This paper revisits the efficiency issue in an otherwise standard one-sector growth model where consumption externalities affect a utility via their effects on the time preference. We find that even if preferences are homothetic, the externality changes the marginal rate of substitution between now and future and leads to a disparity in the intertemporal elasticity of substitution between the centrally planned economy and a decentralized economy. As a result, a competitive equilibrium is inefficient in transition dynamics. We characterize an optimal tax/subsidy structure that enables the allocation in a decentralized economy to replicate the social optimum.     

To Trade Or Not To Trade: Economies With A Variable Number Of Tradeables*

We present a general equilibrium model that encompasses the endogenous selection and shadow‐pricing of a set of tradeable commodities, with home‐based and social production activities. In the model, a market system is a set of costly social institutions which embody the trade and production technologies available in the economy. Our equilibrium concept describes the pricing of market institutions, thus pricing the tradeability of a commodity. We obtain the existence and the decentralization of Pareto‐efficient allocations. We discuss an example regarding the transition of a guild‐based economy into a market‐based economy.     

A Partial Rehabilitation of Hotelling's MC-Pricing Theorem

Harold Hotelling's celebrated theorem on the optimality of marginal cost pricing was criticized first by Frisch and later by Silberberg on the grounds that he did not use the marginal cost pricing condition in his original proof and hence that it did not constitute a valid proof. This note demonstrates that a key equation in Hotelling's proof is locally satisfied if and only if prices are set equal to marginal cost at the initial equilibrium and reexamines the validity of Hotelling's proof.     

Utility Regulation and Risk Allocation: The Roles of Marginal Cost Pricing and Futures Markets

The effects on consumer welfare of requiring a utility facing cost or demand risk to use either a fixed retail price or marginal cost pricing are assessed. With marginal cost pricing and cost volatility an efficient futures market allows consumer welfare to be at least as high in every state as with the fixed price. With demand risk marginal cost pricing can benefit the consumer in every state without harming the firm if the profit difference is transferred to the consumer. A futures market can act as a partial replacement for the transfer.     

On the Second-best Policy of Household's Waste Recycling

This study analyzes the second-best household's waste recycling policy. If we assume the first-best economy with no illegal disposal or transaction costs, then unit pricing, an advance disposal fee and a recycling subsidy are required in order to achieve the social optimum such that both the sum of unit pricing and an advance disposal fee and the sum of unit pricing and a recycling subsidy are equal to the marginal disposal cost. Furthermore, the first-best outcome can also be obtained by a producer take-back requirement system.In the real economy, however, various factors prevent the first-best optimal outcome. In this study we consider two factors, one being the transaction cost associated with a recycling subsidy (or refund) and the other being illegal disposal by the consumer. If a recycling subsidy (or a deposit-refund system) is adopted, a transaction cost associated with it will be generated. Alternatively, if unit pricing is adopted, some of the consumed goods may be disposed of illegally. We show the complete trade-off between unit pricing and a recycling subsidy. In other words, we can not adopt unit pricing and a recycling subsidy simultaneously. As a result, there are three candidates for the second-best policy: unit pricing with an advance disposal fee, a deposit-refund system, and a producer take-back requirement system.Which of these three policies is the second-best policy will depend on the relative magnitude of the price of a recycled good and the marginal transaction cost associated with a recycling subsidy (or the refund in a deposit-refund system). Generally, if the price of a recycled good is positive and the marginal transaction cost is relatively high, unit pricing with an advance disposal fee is the second-best policy. However, where the price of a recycled good is negative and the marginal transaction cost is relatively high, a producer take-back requirement system is the second-best policy. Further, where the marginal transaction cost is relatively low, a deposit-refund system is the second-best policy, regardless of whether the price of a recycled good is positive or negative.     

Nonconvexity,efficiency and equilibrium in exhaustible resource depletion

We consider the problem of efficiency and existence of a competitive equilibrium in exhaustible resource markets where extraction costs are nonconvex. Nonconvexity is shown to imply that (1) (efficient) extraction ceases to the left of the minimum efficient scale, i.e., where average costs exceed marginal costs; and (2) a competitive equilibrium does not exist. Introduction of a backstop technology (which induces a flat portion of the industry demand curve) restores both existence and efficiency, provided that the backstop price is sufficiently low. If firms face even a small amount of uncertainty regarding their rivals' stocks, a backstop technology is sufficient to restore existence of competitive equilibrium, even if the backstop price is very high. In this case, however, the competitive equilibrium is not efficient.     

Existence and efficiency of equilibrium in infinite economies with finite aggregate wealth

Summary. We prove the existence and efficiency of equilibrium in economies with infinitely many consumers in which there are finitely many agents who own a positive portion of the aggregate endowment. We prove existence for commodity spaces which are employed in the general equilibrium asset pricing models and use incomplete and intransitive preferences. We discuss the importance of existence of finitely many agents who own a positive portion of the aggregate endowment in obtaining efficient equilibrium. For general equilibrium asset pricing applications we require forward properness only at individually rational Pareto optimal allocations. We provide an Arrow-Debreu model for these economies. We also give an application of our approach and results by employing Stochastic Differential Utility as the utility of each consumer in an infinite horizon model.     

WELFARE‐MAXIMISING PRICING IN A MACROECONOMIC MODEL WITH IMPERFECT COMPETITION AND CONSUMPTION EXTERNALITIES

This paper develops a simple macroeconomic model with imperfect competition and consumption externalities, and uses it to examine whether the marginal cost pricing rule in the partial equilibrium framework can apply to the general equilibrium framework. It is shown that, for welfare to be maximised, average revenue should be set equal to marginal cost if consumption externalities are either absent or positive. However, for welfare to be maximised, average revenue should be set higher than marginal cost in the presence of negative consumption externalities.     

AN OPEN-ECONOMY NEW KEYNESIAN PHILLIPS CURVE: EVIDENCE FROM HONG KONG

Abstract. This paper extends the new hybrid Keynesian Phillips Curve (NKPC) to the open‐economy context. We hypothesize that pricing decisions depend on both labour costs and intermediate imported input prices. The results for Hong Kong are consistent with the theory if import prices are given substantial weight in measuring marginal cost, rejecting the labour costs model. We find that forward‐looking behaviour is dominant, and that price stickiness is smaller in Hong Kong than in the USA. The results are sensitive to the choice of instruments, and a model using the output gap instead of marginal cost as the forcing variable also performs well.     

数字产品定价中传统经济学方法失灵原因及定价策略

数字产品的高固定成本、低边际成本的成本结构导致了传统的供求曲线和均衡分析的失灵,使得传统的边际成本定价不适用于数字产品。数字产品定价中传统定价方法失灵的原因主要有：数字产品的网络外部性、成本结构的特殊性、需求曲线及供给曲线的变化、市场供求均衡的打破,研究表明采用产品差异化和差别定价、免费,捆绑销售、两段收费的定价策略有一定的积极意义。     

Nonlinear Pricing, Redistribution, and Optimal Tax Policy

This paper examines the role of nonlinear pricing by public (or regulated) utilities as a redistributive mechanism in presence of an optimal nonlinear income tax. It models an economy with many types of persons who differ in two unobservable characteristics (earning abilities and tastes). We show that nonlinear pricing does have a redistributive role; it is not a substitute for an ill-designed tax policy. We prove, assuming separable preferences, that a person whose valuation of the public sector output is smaller than the average valuation of the population (all measured at the same consumption bundle) must face a marginal price for the good above its marginal cost. Further assuming that tastes and earning abilities are perfectly correlated, we prove that everyone must face a marginal price for the public sector's output which strictly exceeds its marginal cost if correlation is positive. These properties provide an economic rationale for the provision of "support for low-income consumers" as mandated by the universal service and similar regulatory policies. Finally, we show that with correlated characteristics, implementation can be achieved through two separate functions: a pricing function that depends only on the public sector output and a tax function that depends only on income.     

FROM RATIONALITY TO BOUNDED RATIONALITY*

We investigate the role of bounded rationality in asset pricing and information efficiency. We show that the market stays between the weak‐form efficiency and the semi‐strong‐form efficiency in a market with a single asymmetric information and without noise supply. We show the existence of an overall equilibrium in which the publicly available information can be priced and is ‘almost free’, and the majority of the agents choose to stay uninformed. We show the existence of a Nash competitive equilibrium in an information game.     

A Dynamic Analysis of the Market for Wide-Bodied Commercial Aircraft

This paper uses an empirical dynamic oligopoly model of the commercial aircraft industry to analyse industry pricing, industry performance, and optimal industry policy. A novel feature of the model with respect to the previous literature is that entry, exit, prices, and quantities are endogenously determined in Markov perfect equilibrium (MPE). We find that many unusual aspects of the aircraft data, such as high concentration and persistent pricing below static marginal cost, are explained by this model. We also find that the unconstrained MPE is quite efficient from a social perspective, providing only 10% less welfare on average than a social planner would obtain. Finally, we provide simulation evidence that an anti-trust policy in the form of a concentration restriction would be welfare reducing.     

HOME MARKET EFFECTS IN THE CHAMBERLINIAN–RICARDIAN WORLD

According to conventional home market effects, free trade tends to shrink the market share for a smaller economy in differentiated manufacturing goods, and in the extreme, leads to a complete hollowing out of the industry. Departing from the original Helpman–Krugman modelling assumptions behind the home market effects, we introduce a technology advantage in terms of the difference in fixed cost and/or marginal cost between trading partners and prove that home market effects will be offset and even reverse if a small economy has better technology than another country. With a higher elasticity of substitution, the marginal cost advantage becomes more important if it is to dominate the home market effect. We also show that even with an identical country size, the intra‐industry trade addressed in the existing literature may not occur; it will occur only if the technology differential lies within a certain range that is positively affected by the level of transport cost.     

The possibility of mixed-strategy equilibria with constant-returns-to-scale technology under Bertrand competition

Abstract. We analyze the Nash equilibria of a standard Bertrand model. We show that in addition to the marginal-cost pricing equilibrium there is a possibility for mixed-strategy equilibria yielding positive profit levels. We characterize these equilibria and find that having unbounded revenues is the necessary and sufficient condition for their existence. Hence, we demonstrate that under realistic assumptions the only equilibrium is marginal-cost pricing.     

Congestion Pricing and Learning in Traffic Network Games

A stochastic model describing the learning process and adaptive behavior of finitely many users in a congested traffic network with parallel links is used to prove convergence almost surely toward an efficient equilibrium for a related game. To prove this result, we assume that the social planner charges on every route the marginal cost pricing without knowing what is the efficient equilibrium. The result is a dynamic version of Pigou’s solution, where the implementation is made in a decentralized way and the information about players gathered by the social planner is minimal. Our result and setting may be extended to the general case of negative externalities.     

A Tradable Permit System in an Intertemporal Economy

It is known that in an intertemporal competitive economy, a tradable permit system may not achieve efficiency without setting appropriate permit interest rates (i.e., rewards for holding permits). To find the rates, however, we need to know in advance the path of efficient permit prices, which is difficult to obtain. This study intends to solve this problem in two ways. First, we analyze a special case in which the permit interest rates are given by a simple rule. For example, if the marginal abatement cost of pollution emission is constant, then the appropriate rate is to equal the monetary interest rate. As is the case for global warming, if the damage is caused in the future far beyond the planning period of the environmental program, the appropriate rate coincides with the marginal self-recovery of environmental stock under certain conditions. As a second approach, we propose a tradable permit system with a permit bank, as a mechanism by which the permit interest rates are generated endogenously without governmental intervention other than the issuance of permits. However, we also show that this approach raises the problem of indeterminacy of the equilibrium.