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.

Premiação top 5: estudo de um caso de torneio no Brasil

Com a implementação do sistema de metas de inflação no Brasil, o Banco Central desenvolveu uma pesquisa de coleta de expectativas do mercado para a inflação e outras variáveis macroeconômicas, como uma das ferramentas para guiar a política monetária. O ranking Top 5 com as melhores projeções vem sendo publicado desde 2001. Este trabalho analisa a estrutura de premiação do ranking Top 5 como um mecanismo de incentivo para (i) obter projeções atualizadas do mercado e (ii) estimular as instituições participantes da pesquisa a aprimorar suas projeções. A análise baseia-se na literatura desenvolvida na área de torneios e na investigação dos dados disponíveis na pesquisa de expectativas e na premiação Top 5. Encontra-se alguma evidência de heterogeneidade entre os participantes da pesquisa, que pode estar relacionada tanto a características intrínsecas de cada instituição com relação à habilidade quanto ao nível de esforço e estratégia escolhidos.

Contracting with repeated moral hazard and private evaluations

A repeated moral hazard setting in which the Principal privately observes the Agent’s output is studied. It is shown that there is no loss from restricting the analysis to contracts in which the Agent is supposed to exert effort every period, receives a constant efficiency wage and no feedback until he is fired. The optimal contract for a finite horizon is characterized, and shown to require burning of resources. These are only burnt after the worst possible realization sequence and the amount is independent of both the length of the horizon and the discount factor (δ). For the infinite horizon case a family of fixed interval review contracts is characterized and shown to achieve first best as δ → 1. The optimal contract when δ << 1 is partially characterized. Incentives are optimally provided with a combination of efficiency wages and the threat of termination, which will exhibit memory over the whole history of realizations. Finally, Tournaments are shown to provide an alternative solution to the problem.

Essays in applied microeconomics

Esta tese é composta de três artigos. No primeiro artigo, ``Risk Taking in Tournaments", é considerado um torneio dinâmico no qual jogadores escolhem como alocar seu tempo em atividades que envolvem risco. No segundo artigo, ``Unitização de Jazidas de Petróleo: Uma Aplicação do Modelo de Green e Porter" é analisado a factibilidade de se haver um acordo de cooperação em um ambiente de common-pool com incerteza nos custos das empresas. No terceiro artigo, ``Oilfield Unitization Under Dual Fiscal Regime: The Regulator Role over the Bargaining", por sua vez, é estudado a unitização quando existem dois regimes fiscais distintos, como os jogadores se beneficiam disso e o papel do regulador no regime de partilha.

Asymmetric auctions and risk aversion within independent private valoues

We study tournaments with many ex-ante asymmetric (heterogeneous) contestants as an independent-private-values all-pay auction. The asymmetry is either with respect to the distribution of valuations for the prize or the risk preferences. By characterizing equilibria in tnonotone strategies we show that tournaments \:vith man~y heterogenous contestants are qualitatively distinct. First, with two (or many ex-ante identical) participants, a contestant always exerts some effort with positive probability. In contrast, with many asymmetric participants, one 1night not exert any effort at all, even if there is a positive probability that he has the highest valuation among ali. Second, in tournan1ents with t'wo (o r n1any ex-ante h01nogenous) contestants, equilibrium effort densities are decreasing. This prediction is at odds with experimental evidence that shows the empírica! density might be increasing at high effort levels. V\.lith rnany heterogeneous contestants, however. the increasing bid density is consistent with an equilibrium behavior.