Share bidding auctions, sliding scale royalty rates and the new brazilian regulatory framework for the pre-salt areas

O governo brasileiro recentemente aprovou uma legislação instituindo um novo marco regulatório para as reservas petrolíferas do pré-sal. Segundo as novas regras, estas áreas deverão ser licitadas mediante um leilão de partilha de lucro. Motivado por esta mudança, apresentamos um modelo de leilão de partilha sob afiliação, demonstrando a existência de um equilíbrio monótono em estratégias puras e caracterizando a solução. Alem disso, provamos que este mecanismo gera receita esperada maior ou igual a um leilão de primeiro preço usual. Em seguida, introduzimos no modelo uma função representando taxas de royalties que dependem do valor do objeto. Este instrumento permite uma elevação na receita esperada de ambos os modelos, fazendo com que a diferença entre eles encolha. Finalmente, analisando o novo marco regulatório sob o ponto de vista dos resultados obtidos, concluímos que o antigo modelo de concessão utilizado pelo governo brasileiro é mais adequado e lucrativo.

Profit-share bidding auctions: a theoretical approach

Neste trabalho, estudamos o regime de partilha de produção brasileiro, instituí do pela Lei No 12.351, para exploração de petróleo através de uma abordagem te orica. Desenvolvemos um modelo de partilha de produção a fim de capturar algumas características do modelo de partilha brasileiro como, por exemplo, a participação obrigatória da Petrobras, assimetria de informação e a presença de participantes estratégicos. Através de solução numérica, fazemos uma análise das estratégias dos participantes e dos ganhos esperados. Além disso, desenvolvemos um modelo de custos heterogêneos para estudar as regras de conteúdo local.

Pure strategy equilibria of multidimensional and non-monotonic auctions

We give necessary and sufficient conditions for the existence of symmetric equilibrium without ties in interdependent values auctions, with multidimensional independent types and no monotonic assumptions. In this case, non-monotonic equilibria might happen. When the necessary and sufficient conditions are not satisfied, there are ties with positive probability. In such case, we are still able to prove the existence of pure strategy equilibrium with an all-pay auction tie-breaking rule. As a direct implication of these results, we obtain a generalization of the Revenue Equivalence Theorem. From the robustness of equilibrium existence for all-pay auctions in multidimensional setting, an interpretation of our results can give a new justification to the use of tournaments in practice.

Hybrid Auctions II: Experimental Evidence

In this paper we report the results of an experiment designed to examine the properties of a hybrid auction - a Dutch-Vickrey auction, that combines a sealed bid …rst-price auction with a sealed bid second-price auction. This auction mechanism shares some important features with that used in the sale of the companies constituted through the partial division of the Telebras System - the government-owned Telecom holding in Brazil. We designed an experiment where individuals participate in a sequence of independent …rst-price auctions followed by a sequence of hybrid auctions. Several conclusions emerged from this experimental study. First, ex-post e¢ciency was achieved overwhelmingly by the hybrid auctions. Secondly, although overbidding (with respect to the risk-neutral Bayesian Nash equilibrium) was a regular feature of participants’ bidding behavior in the …rst-price auctions — as it is commonly reported in most experimental studies of …rst-price auctions, it was less frequent in the hybrid auctions. By calibrating the results to allow for risk-averse behavior we were able to account for a signi…cant part of the overbidding. Finally, we compared the revenue generated by the hybrid auction with that generated by a standard …rst-price sealed bid auction and the results were ambiguous.

Synergies and price trends in sequential auctions

In this paper we consider sequential auctions where an individual’s value for a bundle of objects is either greater than the sum of the values for the objects separately (positive synergy) or less than the sum (negative synergy). We show that the existence of positive synergies implies declining expected prices. When synergies are negative, expected prices are increasing. There are several corollaries. First, the seller is indi¤erent between selling the objects simultaneously as a bundle or sequentially when synergies are positive. Second, when synergies are negative, the expected revenue generated by the simultaneous auction can be larger or smaller than the expected revenue generated by the sequential auction. In addition, in the presence of positive synergies, an option to buy the additional object at the price of the …rst object is never exercised in the symmetric equilibrium and the seller’s revenue is unchanged. Under negative synergies, in contrast, if there is an equilibrium where the option is never exercised, then equilibrium prices may either increase or decrease and, therefore, the net e¤ect on the seller’s revenue of the introduction of an option is ambiguous. Finally, we examine two special cases with asymmetric players. In the …rst case, players have distinct synergies. In this example, even if one player has positive synergies and the other has negative synergies, it is still possible for expected prices to decline. In the second case, one player wants two objects and the remaining players want one object each. For this example, we show that expected prices may not necessarily decrease as predicted by Branco (1997). The reason is that players with singleunit demand will generally bid less than their true valuations in the …rst period. Therefore, there are two opposing forces; the reduction in the bid of the player with multiple-demand in the last auction and less aggressive bidding in the …rst auction by the players with single-unit demand.

Generic-branded drug competition and the price for pharmaceuticals in procurement auctions

This paper studies the effects of generic drug’s entry on bidding behavior of drug suppliers in procurement auctions for pharmaceuticals, and the consequences on procurer’s price paid for drugs. Using an unique data set on procurement auctions for off-patent drugs organized by Brazilian public bodies, we surprisingly find no statistically difference between bids and prices paid for generic and branded drugs. On the other hand, some branded drug suppliers leave auctions in which there exists a supplier of generics, whereas the remaining ones lower their bidding price. These findings explain why we find that the presence of any supplier of generic drugs in a procurement auction reduces the price paid for pharmaceuticals by 7 percent. To overcome potential estimation bias due to generic’s entry endogeneity, we exploit variation in the number of days between drug’s patent expiration date and the tendering session. The two-stage estimations document the same pattern as the generalized least square estimations find. This evidence indicates that generic competition affects branded supplier’s behavior in public procurement auctions differently from other markets.

Auctions with options for re-auction

We examine the role of seller bidding and reserve prices in an infinitely repeated independent-private-value (IPV) ascending-price auction. The seller has a single object that she values at zero. At the end of any auction round, she may either sell to the highest bidder or pass-in the object and hold a new auction next period. New bidders are drawn randomly in each round. The ability to re-auction motivates a notion of reserve price as the option value of retaining the object for re-auctioning. Even in the absence of a mechanism with which to commit to a reserve price, the optimal “secret” reserve is shown to exceed zero. However, despite the infinite repetition, there may be significant value to the seller from a binding reserve price commitment: the optimal binding reserve is higher than the optimal “secret” reserve, and may be substantially so, even with very patient players. Furthermore, reserve price commitments may even be socially preferable at high discount factors. We also show that the optimal “phantom” bidding strategy for the seller is revenue-equivalent to a commitment to an optimal public reserve price.

All-pay auctions with endogenous asymmetries

We study N-bidders, asymmetric all-pay auctions under incomplete information. First, we solve for the equilibrium of a parametric model. Each bidder’s valuation is independently drawn from an uniform [0, αi] where the parameter αi may vary across bidders. In this game, asymmetries are exogenously given. Next, a two-stage game where asymmetries are endogenously generated is studied. At the first stage, each bidder chooses the level of an observable, costly, value-enhancing action. The second stage is the bidding sub-game, whose equilibrium is simply the equilibrium of the, previously analyzed, game with exogenous asymmetries. Finally, natural applications of the all pay-auction in the context of political lobbying are considered: the effects of excluding bidders, as well as, the impact of caps on bids.

Auctions of identical objects with single-unit demands : a survey

The theory of auctions of a single object generalizes to a situation where identical objects are sold either sequentially or simultaneously but individuais can only buy one object. In this context, I will present a survey of the main results regarding the ranking of auctions based on revenue, bidding behaviour, effects of entry fees and reserve prices, and other strategic issues.

Entrepreneurial risk and labour's share in output

This paper presents a theoretical model which discusses the role played by the entrepreneurial risk on the distribution of the national income. In a two-period general equilibrium framework with competitive risk-averse entrepreneurs it is shown that the highest the risk borne by firms, the lower will be real wages, employment and the labour's share in output. The model helps explain the fall of the labour's share in the Brazilian output during the 1980s.

Optimal auctions with multidimensional types and the desirability of exclusion

Within the context of a single-unit, independent private values auction model, we show that if bidder types are multidimensional, then under the optimal auction exclusion of some bidder types will occur. A second contribution of the paper is methodological in nature. In particular, we identify conditions under which an auction model with multidimensional types can be reduced to a model with one dimensional types without loss of generality. Reduction results of this type have achieved the status of folklore in the mechanism design literature. Here, we provide a proof of the reduction result for auctions.

Abstract types and distributions in independent private value auctions

In this note, in an independent private values auction framework, I discuss the relationship between the set of types and the distribution of types. I show that any set of types, finite dimensional or not, can be extended to a larger set of types preserving incentive compatibility constraints, expected revenue and bidder’s expected utilities. Thus for example we may convexify a set of types making our model amenable to the large body of theory in economics and mathematics that relies on convexity assumptions. An interesting application of this extension procedure is to show that although revenue equivalence is not valid in general if the set of types is not convex these mechanism have underlying distinct allocation mechanism in the extension. Thus we recover in these situations the revenue equivalence.

The set of equilibria of first-price auctions

In this note I specify the class of functions that are equilibria of symmetric first-price auctions.

Three essays on hybrid auctions

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Incerteza e dívida pública prefixada no Brasil

This study analyses the bids¿ dispersion in fixed income government securities auctions issued by the National Treasury of Brazil. We try to estimate the bids¿ variance based on factors that may forecast its movement. We hope to help the security issuer by offering more data before the auction. The basic idea is to relate the market uncertainty with the primary auction of government securities. Results indicates the importance of uncertainty on the bidding decisions. It shows also the need for a liquid secondary market to the selling of long-term fixed income securities.