Mutually Destructive Bidding: The FCC Auction Design Problem

In general, synergies across license valuations complicate the auction design process. Theory suggests that a simple (i.e., non-combinatorial) auction will have difficulty in assigning licenses efficiently in such an environment. This difficulty increases with increases in fitting complexity. In some environments, bidding may become mutually destructive. Experiments indicate that a properly designed combinatorial auction is superior to a simple auction in terms of economic efficiency and revenue generation in bidding environments with a low amount of fitting complexity. Concerns that a combinatorial auction will cause a threshold problem are not borne out when bidders for small packages can communicate.     

Rational Buyer Meets Rational Seller: Reserves Market Equilibria under Alternative Auction Designs

We examine efficiency properties and incentive compatibility of alternative auction formats that an electricity network system operator may use for the procurement of ancillary services required for real-time operations. We model the procurement auction as a hierarchical multiproduct auction, and study several designs such as a uniform price auction minimizing revealed social cost, a uniform price auction minimizing the system operator's cost and a pay as bid auction minimizing revealed social cost. We take into account that rational bidders will respond to any market design so as to maximize their expected benefit from participating in that market. Under the assumptions of our model, we show that the uniform price auction minimizing revealed social cost is the only one that guarantees productive efficiency. We also find that expected revenue (payment in our case) equivalence between pay as bid and uniform price auctions does not extend to the hierarchical products case and the ranking of these auctions is ambiguous and depends on the data. For the procurement auction minimizing the system operator's cost, we show that misrepresentation of capability may result in capacity shortages if there are capacity constraints. For the case where only higher capability resources are constrained, this will result in random price spikes decreasing in frequency with the price cap (this is the amount paid to capacity in demand states with shortages). When lower type resources are capacity constrained as well, price spikes will be seen for both type of resources. Such artificial shortages result in reduced reliability in real-time operations.     

Existence of an equilibrium in first price auctions

Summary We study the first price auction game with an arbitrary number of bidders when the bidders' valuations are independent from each other. In technical words, we work within the independent private value model. We show that if the supports of the valuation probability distributions have the same minimum and if this minimum is not a mass point of any of these distributions, then a Nash equilibrium of the first price auction exists. We then modify the first price auction game by adding a closed interval of messages. Every bidder has to send a message with the bid he submits. These messages are used in the resolution of the ties. The winner of the auction is chosen randomly among the highest bidders with the highest value of the message among the highest bidders. In the general case, we prove the existence of a Nash equilibrium for this augmented first price auction.I wish to thank Mamoru Kaneko and a referee for their comments on an earlier draft.     

Exchange rates and perfect competition

The purpose of this note is to demonstrate that the commonly held belief that incomplete and perverse pass-through are incompatible with perfect competition is wrong! To this end, we consider two types of firms both operating in two countries. The demand sides of the markets of the two countries are separated and each type of firm produces its good in one of these countries. We study the effect of an exchange-rate change on the competitive equilibrium prices in each country. When producing for the foreign market causes the same costs as producing for the home market then the law of one price holds and an exchange-rate change is completely offset by price changes. Furthermore, when cost functions neither exhibit economies nor diseconomies of scope between producing for the home and producing for the foreign market then prices move in the right directions in response to an exchange-rate change. However, with general cost structures, even in this simple perfectly competitive model, perverse directions of price changes can result from an exchange-rate change.     

Wholesale Spot Price Pass-Through

It has been proposed that, when electricity markets open to retail competition, incumbent distribution utilities should be required to sell to residential customers at wholesale spot market prices. It is argued here that this overestimates the value of spot-price sales to customers, and underestimates the costs and disadvantages of the proposed policy. Experience in San Diego illustrates the problems. But other policies such as shopping credits have deficiencies too. An alternative approach, based on transitional maximum price caps, has facilitated the development of a competitive and fully deregulated residential retail market in the United Kingdom.     

Endogenous Entry and Exit in Common Value Auctions

We develop and experimentally test a model of endogenous entry, exit, and bidding in common value auctions. The model and experimental design include an alternative profitable activity (a safe haven) that provides agentspecific opportunity costs of bidding in the auction. Each agent chooses whether to accept the safe haven income or forgo it in order to bid in the auction. Agents that enter the auction receive independently-drawn private signals that provide unbiased estimates of the common value. The auctioned item is allocated to the high bidder at a price that is equal to the high bid. Thus the market is a first-price sealed-bid common value auction with endogenous determination of market size.     

Power,luck and the right index

Summary We have pointed out the theoretical drawbacks of the traditional indices for measuring a priori voting power inasmuch as they are implied in considering the coalition value a private good. This criticism caused us to view the coalition outcome as a public good. From this aspect and additional considerations with respect to power, luck, and decisiveness, we obtained a story describing the characteristics of an adequate measure of a priori voting power. These characteristics were found to be fulfilled by an index presented by Holler (1978). Through the above analysis this index has received its theoretical justification. An independent view of this index was then provided by means of an axiomatic characterization. This characterization makes possible abstract comparison of the index with previously established private good indices.While we have restricted our attention to simple games, the index presented can be generalized to provide a value on games in characteristic function form. We leave this topic for future conideration.     

Bidders' and Sellers' Strategies in Sequential Auctions. New Evidence about the Afternoon Effect

Using dynamic panel data econometric techniques, we analyzethe price structure of sequential auctions of modern and contemporary art that took place inItaly during the period 1983–1996. Contrary to previous empirical studies, we do not find anyafternoon effect, or decline of auction prices relative to estimated values. Taking intoconsideration the structure of the auctions and the dynamic nature of price determination, we proposean interpretation of the empirical results that encompasses previous contributions.     

Auction Design for the Allocation of Emission Permits in the Presence of Market Power

To the extent that emission permits have been allocated using market mechanisms, this has been done using a sealed-bid auction design, typically with discriminatory prices. However, several authors have recommended the ascending auction format. Basically, two competing ascending auction designs have been suggested, the standard ascending auction (with clock or demand schedules), or an alternative ascending-clock implementation of Vickrey-pricing. The latter design was introduced as a response to problems of bid shading under the sealed-bid and the standard ascending auction format. The purpose of this paper is to investigate the allocation of permits under these two alternative mechanisms. The auction process and the resulting market outcome in the presence of oligopolistic competition are simulated. In this setting, it is not obvious that bid shading is the optimal strategy under the standard design, nor is it obvious that sincere bidding is the optimal strategy under the alternative ascending auction design. The alternative auction format makes it less costly to pursue a strategy to increase market shares through the acquisition of emission permits, thus increasing the competitor's costs, leading to overbidding as the optimal strategy.     

Marktstruktur und Preisverhalten in der österreichischen Industrie

Summary Being part of a larger investigation concerning forms and intensity of competition in the Austrian economy this paper deals with the characteristics of market structure and pricing behaviour in the industrial sector. Mainly based on a detailed questionnaire this study is representative for the group of larger Austrian industrial enterprises (sales of more than 100 Mill. AS) which produced more than two thirds of total industrial ouput. According to this study the dominant market structure of the Austrian industry is that of a close oligopoly. The subjective estimation of the price elasticity of demand by the firms participating in our survey was generally very pessimistic, being the lower the larger the market share of the respective firm.The most common principle of price formation for new products in the Austrian industry is a system of flexible full cost pricing, meaning cost orientation plus variable profit margins. Our study also shows that a large majority (60% resp. 80%) of the enterprises under investgation use discount, i.e. price differentiation in their pricing policies. These aspects indicate that-in line with marginalistic theories — demand situations obviously exercise a substantial influence on pricing behaviour. Considering the causes for price changes, however, cost oriented influences were clearly dominating. This stresses the great importance of the Austrian pricecontrol mechanism, the Paritätische Kommission, the institutionalized form of incomes policy in Austria.An econometric analysis of the process of price formation in the Austrian industry showed that the main factors of price changes were changes in labour costs and in international price levels, especially in the level of export prices. Our investigation also dealt with the question, whether differences in market-structure result in different, responses to demand fluctuations. Considering both the concepts of actual and potential competition it can be shown that enerprises in a more competitive situation react towards changes in demand conditions in a more stabilizing way that monopolistic firms: The reduce prices earlier in recession and they react to boom periods by expanding their capacities rather than by raising prices. Market structure and the intensity of competition thus seem to influence the position of the Phillips-curve in an economy.     

Exchange rates and bertrand oligopoly

The impact of exchange-rate changes on industrial prices seems ambiguous. Incomplete and even perverse pass-through has been observed: the import prices in the depreciating country decrease while those in the appreciating country increase. To explain these counterintuitive price reactions we consider a situation of international Bertrand competition: two firms, based in different countries, are selling in both countries simultaneously. The profit-maximizing duopolists set the prices for their products in each of the two markets which are segmented on the demand side. We then study the qualitative effect of an exogenous exchange-rate change on the Bertrand-Nash equilibrium. Under the strong assumption of linear demand and cost functions we have normal exchange-rate pass-through. However, allowing for more general cost structures in this simple static model enables us to show that the import prices in both countries might move in counterintuitive directions.     

Full-cost pricing in the classical competitive process: A model of convergence to long-run equilibrium

In the last 10–15 years a lot of attempts has been devoted to study the calssical process of convergence of market prices toward natural prices. The two forces that one has thought could achieve this target were capital mobility, that determines the dynamics of output, and demand-supply forces, that determine the dynamics of prices. In this article a model of classical competition is proposed in which a full-cost pricing mechanism is adopted in the rule of evolution of market prices. An asymptotical stability result of long-run equilibrium is proved for a two-commodity model with and without a final demand.     

On Intertemporal Subsidy-Free Prices and Economic Depreciation: Constrained Market Pricing Revisited

The constrained market pricing approach to regulating monopolies maintains that prices should be subsidy-free, lying between the often expansive bounds of stand alone and incremental costs. For a simple two-good/two-period model of a monopolist subject to a zero profit constraint, it is shown that subsidy-free prices are those which rise to the amortized opportunity cost of the currently optimal asset configuration required to meet both current and future demand, providing—in some circumstances—justification for accelerated depreciation. Such intertemporal subsidy-free prices recognize that the stand alone cost of existing assets to current consumers depends on the value of those assets to future consumers. Hence, if a feasible resale price for the fixed costs of capacity exists within or between periods, then intertemporal stand alone costs and intertemporal incremental costs are driven to equality.     

The rational regulator's pricing response to enhanced opportunities to “bypass” the public telephone network

Various technological innovations make it profitable—given regulated service prices—for large business customers of local telephone companies to invest in private equipment and reduce their reliance on the public telephone network. Such bypass possibilities reduce demands and increase demand elasticities for regulated business services. The politics of state telephone regulation motivate two specifications of regulatory objectives—specifications designed to reveal positive implications of bypass for regulated prices. One views the regulator as practicing so-called residual pricing, and a generalization assumes that the regulator balances the interests of competing pressure groups. Implications for interpretation of political rhetoric and for future modeling are discussed.     

The Impact of Discounting on an Auction with a Buyout Option: a Theoretical Analysis Motivated by eBay’s Buy-It-Now Feature

An auction with a buyout option occurring over continuous time with rules similar to eBays buy it now option is analyzed. When auction participants make no distinction as to when a transaction occurs, the seller optimally chooses a buyout option price so high that bidders never exercise the option. However, time impatience on either side of the transaction can motivate the seller to offer an option price low enough so that the option is exercised with positive probability. Further, allowing a time impatient seller to offer such an option results in an ex ante Pareto improvement when bidders do not discount future transactions.     

Framing Effects in Public Goods Experiments

Three effects of apparently superficial changes in presentation (framing effects in a broad sense), were replicated together in the same repeated linear public goods experiment with real financial incentives. First, 32 repetitions were presented as four phases of 8 repetitions with a break and results summary in between. Contribution levels decayed during each phase but then persistently returned to about 50% after each re-start. Second, subjects contributed more when the payoff function was decomposed in terms of a gift which is multiplied and distributed to the other players, rather than the equivalent public good from which everyone benefits. Third, subjects contributed more following a comprehension task which asks them to calculate the benefits to the group of various actions (the We frame), rather than the benefits to themselves (the I frame). These results suggest that aspects of presentation may have strong and replicable effects on experimental findings, even when care is taken to make the language and presentation of instructions as neutral as possible. Experimental economists should therefore give careful consideration to potential framing effects—or, better still, explicitly test for them—before making claims about the external validity of results.     

Ein Entscheidungsmodell für Konsumieren und Sparen

Summary The present study analyses the simultaneous problem of consumption and saving by means of a consistent demand system; for this purpose the linear—expenditure—system (LES), developed by R. Stone, has been modified and used as a methodological base. Saving takes, for the sake of operationality, the character of a consumer—good and becomes an argument of the utility function. The usual neoclassical assumption of utility maximization allows the derivation of a linear expenditure system of consumption and saving (LESSC) when prices and income are given. The simultaneous LESSC-model has remarkable weaknesses, however: the assumption of certainty, the static character of the model, the disregard for major savings—motives and private expenditure on homebuiding led to bad elasticity—estimates. The assumpion of directly—additive utility functions causes furthermore collinearity between income—and price—elasticities such that the meaning of the derived elasticities is greatly reduced.The income—elasticities derived from the LESSC are positive throughout but show a remarkable variance. The calculation of the Friedman—bias demonstrates a rather strong bias due to the assumption of certainty. A modification resulted in income—elasticities of private consumption and savings of around 0,93 (unmodified: 0,88) and 1,41 (unmodified: 1,76). The demand for consumption goods of great necessity was income—inelastic whereas the demand for goods of less importance to survival was income—elastic. An analysis of income—elasticities of the disaggregated system and the relation between transitory components of consumption and income existing in Austria gave the impression that unexpected changes in income are not only reflected in saving but also in changes of the consumption—structure.The respective price—elasticites are all negative and smaller than 1. For less important consumption—goods lower price—elasticities have been measured and for easily substitutable goods higher ones. Marked crossprice—elasticities could only by discovered with clothing and food products. Generally it can be said that an increase in prices of goods of the daily needs hits both the expenditure on easily substitutable consumption goods and causes dissaving.A comparison with the elasticities calculated through OLS shows a greater reliance of LESSC—elasticities as far as data of differing aggregation levels are concerned.

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Mécanique Sociale may one day take her place along with Mécanique Celeste throned each upon the double—sided height of one maximum principle, the supreme pinnacle of moral as of physical science.     

Endogenous uncertainty in a general equilibrium model with price contingent contracts

Summary This paper views uncertainty and economic fluctuations as being primarily endogenous and internally propagated phenomena. The most important Endogenous Uncertainty examined in this paper is price uncertainty which arises when agents do not have structural knowledge and are complelled to make decisions on the basis of their beliefs. We assume that agents adopt Rational Beliefs as in Kurz [1994a]. The trading of endogenous uncertainty is accomplished by using Price Contingent Contracts (PCC) rather than the Arrow-Debreu state contingent contracts. The paper provides a full construction of the price state space which requires the expansion of the exogenous state space to include the state of beliefs. This construction is central to the analysis of equilibrium with endogenous uncertainty and the paper provides an existence theorem for a Rational Belief Equilibrium with PCC. It shows how the PCC completes the markets for trading endogenous uncertainty and lead to an allocation which is Pareto optimal. This paper also demonstrates that endogenous uncertainty is generically present in this new equilibrium.This research was supported in part by the Fondazione Eni Enrico Mattei of Milan, Italy, and by the National Science Council of Taiwan. The authors thank Carsten K. Nielsen for valuable suggestions.     

On the generic nonconvergence of Bayesian actions and beliefs

Summary SupposeY _n is a sequence of i.i.d. random variables taking values in Y, a complete, separable, non-finite metric space. The probability law indexed by, is unknown to a Bayesian statistician with prior, observing this process. Generalizing Freedman [8], we show that generically (i.e., for a residual family of (,) pairs) the posterior beliefs do not weakly converge to a point-mass at the true. Furthermore, for every open setG , generically, the Bayesian will attach probability arbitrarily close to one toG infinitely often. The above result is applied to a two-armed bandit problem with geometric discounting where armk yields an outcome in a complete, separable metric spaceY _k. If the infimum of the possible rewards from playing armk is less than the infimum from playing armk', then armk is (generically) chosen only finitely often. If the infimum of the rewards are equal, then both arms are played infinitely often.     

Eine Verallgemeinerung des skandinavischen Modells der Inflation

Summary The Scandinavian Model divides the economy of a small country into two sectors. The exposed sector produces commodities traded on the world market, the sheltered sector produces commodities not traded externally. The E-sector is a price taker, while the price level in the S-sector is set by firms of this sectors. This model developed byO. Aukrust andG. Edgren, K.O. Faxén, C.O. Odhner is generalized by introducing a Phillips relation into the E-sector. The rate of inflation of a small economy thus is influenced by three components: imported inflation, a structural component (due to the Aukrust-EFO-model) and an excess demand component (measured by the rate of unemployment). The model is estimated with OLS and 3SLS (ordinary respectively three stage least squares). The results show that the rate of inflation in Austria during the period 1960–1974 can be fairly well explained by Phillips curve augmented Aukrust-EFO-model.In a final chapter the results of applying the same model to Austria and Sweden are discussed by comparing the respective estimates.