Single crossing properties and the existence of pure strategy equilibria in games of incomplete information

Econometrica

Volumn 69, Issue 4, 2001, Pages 861-889

  Athey, Susan ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Auctions; Games of incomplete information; Pricing games; Pure strategy Nash equilibrium; Signaling games; Single crossing property; Supermodular games

Indexed keywords

EID: 0001724645     PISSN: 00129682     EISSN: None     Source Type: Journal    
DOI: 10.1111/1468-0262.00223     Document Type: Article

References (44)

1. AMANN, ERWIN, AND WOLFGANG LEININGER (1996): "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, 14, 1-18.
2. ATHEY, SUSAN (1997): "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," MIT Working Paper Number 97-11.
3. _ (1998a): "Characterizing Properties of Stochastic Objective Functions," MIT Working Paper Number 96-1R.
4. _ (1998b): "Comparative Statics Under Uncertainty," forthcoming, Quarterly Journal of Economics.
5. ATHEY, SUSAN, KYLE BAGWELL, AND CHRIS SANCHIRICO (1998): "Collusion and Price Rigidity," MIT Working Paper Number 98-23.
6. ATHEY, SUSAN, AND ARMIN SCHMUTZLER (2000): "Investment and Market Dominance," Rand Journal of Economics, 32, 1-26.
7. BAGWELL, KYLE, AND ASHER WOLINSKY (2000): "Game Theory and Industrial Organization Theory," forthcoming, Handbook of Game Theory.
8. BAJARI, PATRICK (1997): "First-Price Auctions with Asymmetric Bidders: Theory and Applications," Ph.D. Thesis, University of Minnesota.
9. BAYE, M. R., D. KOVENOCK, AND C. G. DE VRIES (1993): "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, 83, 289-294.
10. BECKER, GARY (1983): "A Theory of Competition Among Pressure Groups for Political Influence," Quarterly Journal of Economics, 98, 371-400.
11. DASGUPTA, PARTHA, AND ERIC MASKIN (1986): "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, 53, 1-26.
12. DIAMOND, PETER (1982): "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, 90, 881-894.
13. FUDENBERG, DREW, AND JEAN TIROLE (1991): Game Theory. Cambridge: MIT Press.
14. FULLERTON, RICHARD, AND PRESTON MCAFEE (1999): "Auctioning Entry Into Tournaments," Journal of Political Economy, 107, 573-605.
15. KATZ, MICHAEL, AND CARL SHAPIRO (1986): "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, 94, 822-841.
16. KHAN, ALI, AND YENENG SUN (1995): "Pure Strategies in Games with Private Information," Journal of Mathematical Economics, 24, 633-653.
17. _ (1996): "Nonatomic Games on Loeb Spaces," Proceedings of the National Academy of Sciences, 93, 15518-15321.
18. _ (1997): "On Loeb Measure Spaces and their Significance for Non-Cooperative Game Theory," in Current and Future Directions in Applied Mathematics, ed. by M. Alber et al. Berlin: Birkhauser.
19. KOLMOGOROV, A. N., AND S. V. FOMIN (1970): Introductory Real Analysis. New York: Dover Publications.
20. KRISHNA, VIJAY, AND JOHN MORGAN (1997): "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, 72, 343-362.
21. LEBRUN, BERNARD (1996): "Existence of an Equilibrium in First-Price Auctions," Economic Theory, 7, 421-443.
22. _ (1999): "First-price Auction in the Asymmetric N Bidder Case," International Economic Review, 40, 125-142.
23. LI, TONG, ISABELLE PERRIGNE, AND QUANG VUONG (2000): "Conditionally Independent Private Information in OCS Wildcat Auctions," Journal of Econometrics, 98, 129-161.
24. LIZZERI, ALESSANDRO, AND NICOLA PERSICO (2000): "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, 30, 83-114.
25. MAGGI, GIOVANNI (1999): "The Value of Commitment with Imperfect Observability and Private Information," RAND Journal of Economics, 30, 555-574.
26. MARSHALL, ROBERT, MICHAEL MEURER, JEAN-FRANCOIS RICHARD, AND WALTER STROMQUIST (1994): "Numerical Analysis of Asymmetric First-price Auctions," Games and Economic Behavior, 7, 193-220.
27. MASKIN, ERIC, AND JOHN RILEY (2000): "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, 67, 439-454.
28. MATTHEWS, S., AND L. MIRMAN (1983): "Equilibrium Limit Pricing: the Effects of Private Information and Stochastic Demand," Econometrica, 51, 981-994.
29. MILGROM, PAUL, AND JOHN ROBERTS (1990): "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, 58, 1255-1277.
30. MILGROM, PAUL, AND CHRIS SHANNON (1994): "Monotone Comparative Statics," Econometrica, 62, 157-180.
31. MILGROM, PAUL, AND ROBERT WEBER (1982): "A Theory of Auctions and Competitive Bidding," Econometrica, 50, 1089-1122.
32. _ (1985): "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, 10, 619-632.
33. O'NEILL, B. (1986): "International Escalation and the Dollar Auction," Journal of Conflict Resolution, 30, 33-50.
34. PESENDORFER, WOLFGANG, AND JEROEN SWINKELS (1997): "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, 65, 1247-1282.
35. REDNER, ROY, AND ROBERT W. ROSENTHAL (1982): "Private Information and Pure-Strategy Equilibria," Mathematics of Operations Research, 7, 401-409.
36. RENY, PHILIP J. (1999): "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, 67, 1029-1056.
37. ROYDEN, H. L. (1988): Real Analysis. New York: MacMillan.
38. SIMON, LEO, AND WILLIAM ZAME (1990): "Discontinuous Games and Endogenous Sharing Rules," Econometrica, 58, 861-872.
39. SPULBER, DANIEL (1995): "Bertrand Competition When Rivals' Costs are Unknown," Journal of Industrial Economics, 43, 1-11.
40. TOPKIS, DONALD (1978): "Minimizing a Submodular Function on a Lattice," Operations Research, 26, 305-321.
41. _ (1979): "Equilibrium Points in Nonzero-Sum n-person Submodular Games," Siam Journal of Control and Optimization, 17, 773-787.
42. VARIAN, HAL R. (1980): "A Model of Sales," American Economic Review, 70, 651-659.
43. VIVES, XAVIER (1990): "Nash Equilibrium with Strategic Complementarities," Journal of Mathematical Economics, 19, 305-321.
44. WEBER, ROBERT (1994): "Equilibrium in Non-Partitioning Strategies," Games and Economic Behavior, 7, 286-294.