Computing Best-Response Strategies in Infinite Games of Incomplete Information∗ 2004-5-24 21:40

نویسندگان

  • Daniel M. Reeves
  • Michael P. Wellman
چکیده

We describe an algorithm for computing bestresponse strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents’ types and actions, conditional on linear comparisons of agents’ actions. We show that this class includes many well-known games including a variety of auctions and a novel allocation game. In some cases, the best-response algorithm can be iterated to compute Bayes-Nash equilibria. We demonstrate the efficacy of our approach on existing and new games.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Computing Best-Response Strategies in Infinite Games of Incomplete Information

We describe an algorithm for computing bestresponse strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents’ types and actions, conditional on linear comparisons of agents’ actions. We show that this class includes many well-known games including a variety of auctions and a novel allocation game. In some cases, the best-respons...

متن کامل

The constraints of the valuation distribution for solving a class of games by using a best response algorithm

Infinite games with incomplete information are common in practice. First-price, sealed-bid auctions are a prototypical example. To solve this kind of infinite game, a heuristic approach is to discretize the strategy spaces and enumerate to approximate the equilibrium strategies. However, an approximate algorithm might not be guaranteed to converge. This paper discusses the utilization of a best...

متن کامل

Choosing Samples to Compute Heuristic-Strategy Nash Equilibrium

Auctions define games of incomplete information for which it is often too hard to compute the exact Bayesian-Nash equilibrium. Instead, the infinite strategy space is often populated with heuristic strategies, such as myopic best-response to prices. Given these heuristic strategies, it can be useful to evaluate the strategies and the auction design by computing a Nash equilibrium across the res...

متن کامل

Abstraction Refinement for Games with Incomplete Information

ion Refinement for Games with Incomplete Information∗ Rayna Dimitrova, Bernd Finkbeiner Universität des Saarlandes {dimitrova,finkbeiner}@cs.uni-sb.de ABSTRACT.Counterexample-guided abstraction refinement (CEGAR) is used in automated software analysis to find suitable finite-state abstractions of infinite-state systems. In this paper, we extend CEGAR to games with incomplete information, as the...

متن کامل

Search in Games with Incomplete Information: A Case Study Using Bridge Card Play

We examine search algorithms in games with incomplete information, formalising a best defence model of such games based on the assumptions typically made when incomplete information problems are analysed in expert texts. We show that equilibrium point strategies for optimal play exist for this model, and deene an algorithm capable of computing such strategies. Using this algorithm as a referenc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004