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Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information

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Abstract

This paper derives sufficient conditions for a class of games of complete information , such as first price auctions, to have pure trategy Nash equilibria (PSNE). The paper treats games between two or more heterogeneous agents, each with private information about his own type (for example, a bidder's value for an object or a firm's marginal cost of production) , and the types are drawn from an atomless joint probability distribution which potentially allows for correlation between types.

Suggested Citation

  • Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
  • Handle: RePEc:mit:worpap:97-11
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    Keywords

    GAME THEORY ; INFORMATION ; ECONOMIC EQUILIBRIUM ; AUCTIONS ; PRICING;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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