Asymmetric First-Price Auctions—A Dynamical-Systems Approach

References

• Chow S. N., Hale J. K.Methods of Bifurcation Theory (1982) (Springer-Verlag, New York) Crossref, Google Scholar
• Fibich G., Gavious A. Asymmetric first-price auctions—A perturbation approach. Math. Oper. Res. (2003) 28(4):836–852Link, Google Scholar
• Fibich G., Gavish N. Numerical simulations of asymmetric first-price auctions. Games Econom. Behav. (2011) 72(2):479–495Crossref, Google Scholar
• Fibich G., Gavious A., Sela A. Low and high types in asymmetric first-price auctions. Econom. Lett. (2002) 75(2):283–287Crossref, Google Scholar
• Fibich G., Gavious A., Sela A. Revenue equivalence in asymmetric auctions. J. Econom. Theory (2004) 115(2):309–321Crossref, Google Scholar
• Gayle W.-R., Richard J.-F. Numerical solutions of asymmetric, first-price, independent private values auctions. Comput. Econom. (2008) 32(3):245–278Crossref, Google Scholar
• Klemperer P.Auctions: Theory and Practice (2004) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
• Krishna V.Auction Theory (2002) (Elsevier, New York) Google Scholar
• Lebrun B. Existence of an equilibrium in first price auctions. Econom. Theory (1996) 7(3):421–443Crossref, Google Scholar
• Lebrun B. Revenue comparisons between the first price and second price auctions in a class of examples. (1996) . Mimeo, http://dept.econ.yorku.ca/~blebrun/revcompletebrun96.pdfGoogle Scholar
• Lebrun B. First price auctions in the asymmetric n bidder case. Internat. Econom. Rev. (1999) 40(1):125–142Crossref, Google Scholar
• Lebrun B. Uniqueness of the equilibrium in first-price auctions. Games Econom. Behav. (2006) 55(1):131–155Crossref, Google Scholar
• Li H., Riley G. Auction choice. Int. J. Indust. Organ. (2007) 25(6):1269–1298Crossref, Google Scholar
• Marshall R. C., Meurer M. J., Richard J.-F., Stromquist W. Numerical analysis of asymmetric first price auctions. Games Econom. Behav. (1994) 7(2):193–220Crossref, Google Scholar
• Maskin E. S., Riley J. G. Asymmetric auctions. Rev. Econom. Stud. (2000) 67(3):413–438Crossref, Google Scholar
• Milgrom P.Putting Auction Theory to Work (2004) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
• Perko L.Differential Equations and Dynamical Systems (2001) (Springer-Verlag, New York) Crossref, Google Scholar
• Robbin J. W. Stable manifolds of semi-hyperbolic fixed points. Illinois J. Math. (1971) 15(4):595–609Google Scholar
• Strogatz S.Nonlinear Dynamics and Chaos: With Applications (1994) (Addison-Wesley, Reading, MA) Google Scholar
• Vickrey W. Counterspeculation, auctions, and competitive sealed tenders. J. Finance (1961) 16(1):8–37Crossref, Google Scholar
• Wiggins S.Introduction to Applied Nonlinear Dynamical Systems (2003) (Springer-Verlag, New York) Google Scholar