Approximation of Nash equilibria in Bayesian games
β Scribed by Olivier Armantier; Jean-Pierre Florens; Jean-Francois Richard
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 184 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0883-7252
- DOI
- 10.1002/jae.1040
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β¦ Synopsis
Abstract
We define a new concept of constrained strategic equilibrium (CSE) for Bayesian games. We show that a sequence of CSEs approximates an equilibrium under standard conditions. We also provide an algorithm to implement the CSE approximation method numerically in a broad class of Bayesian games, including games without analytically tractable solutions. Finally, we illustrate the flexibility of the CSE approximation with a series of auction examples, including a complex multiβunit auction. Copyright Β© 2008 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
h this note, an extended version of the Zhou and Chen minimax inequaiity is obtained for reflexive Banach spaces. An application of the result to the existence of Nash equilibrium points without assuming that cost functions are convex is given.