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Pure strategy equilibria of multidimensional and Non-monotonic auctions

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  • Moreira, Humberto Ataíde
  • Araújo, Aloísio Pessoa de
  • Castro Filho, Luciano I. de Castro Filho

Abstract

We give necessary and sufficient conditions for the existence of symmetric equilibrium without ties in common values auctions, with multidimensional independent types and no monotonic assumptions. When the conditions are not satisfied, we are still able to prove the existence of pure strategy equilibrium with an exogenous and explicit tie breaking mechanism. As a basis for these results, we obtain a characterization lemma that is valid under a general setting, that includes non-independent types, asymmetrical utilities and any attitude towards risk. Such characterization gives a basis for an intuitive interpretation for the behavior of the bidder: to bid in order to equalize the marginal benefit and the marginal cost of bidding

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Paper provided by FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 571.

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Date of creation: 01 Nov 2004
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Handle: RePEc:fgv:epgewp:571

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Citations

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Cited by:
  1. Matthew Jackson, 2009. "Non-existence of equilibrium in Vickrey, second-price, and English auctions," Review of Economic Design, Springer, vol. 13(1), pages 137-145, April.
  2. Aloisio Araujo & Luciano Castro & Humberto Moreira, 2008. "Non-monotoniticies and the all-pay auction tie-breaking rule," Economic Theory, Springer, vol. 35(3), pages 407-440, June.
  3. Fernando Barbosa & Alexandre Cunha & Elvia Sallum, 2006. "Competitive equilibrium hyperinflation under rational expectations," Economic Theory, Springer, vol. 29(1), pages 181-195, September.
  4. Araujo, Aloisio & de Castro, Luciano I., 2009. "Pure strategy equilibria of single and double auctions with interdependent values," Games and Economic Behavior, Elsevier, vol. 65(1), pages 25-48, January.
  5. Barbosa, Fernando de Holanda, 2005. "The Contagion Effect of Public Debt on Monetary Policy: The Brazilian Experience," Economics Working Papers (Ensaios Economicos da EPGE) 591, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  6. Aloisio Araujo & Luciano I. de Castro Filho, 2004. "Pure Strategy Equilibria of Multidimensional and Non-Monotonic Auctions," Econometric Society 2004 Latin American Meetings 300, Econometric Society.
  7. Araújo, Fabio & Issler, João Victor & Fernandes, Marcelo, 2005. "Estimating the Stochastic Discount Factor without a Utility Function," Economics Working Papers (Ensaios Economicos da EPGE) 583, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  8. Horowitz, Andrew W. & Flôres Junior, Renato Galvão, 2004. "Beyond indifferent players: On the existence of Prisoners Dilemmas in games with amicable and adversarial preferences," Economics Working Papers (Ensaios Economicos da EPGE) 576, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  9. Athayde, Gustavo M. de & Flôres Junior, Renato Galvão, 2004. "Do Higher Moments Really Matter in Portfolio Choice?," Economics Working Papers (Ensaios Economicos da EPGE) 574, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).

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