The thesis aims to find an efficient algorithm for solving parity games. Parity games are graph-based, 0-sum, 2-person games with infinite plays. It is known that these games are determined: all nodes in these games are won by exactly one player. Solving parity games is equivalent to the model checking problem of modal mu-calculus; an efficient solution has important implications to program ver...

We consider a continuous time version of the ctitious play model in an evolutionary environment. We derive two forms of the continuous time limit, both of which are approximations to a determinate version of the ctitious play updating algorithm. The rst is in the form of a rst-order partial di erential equation ('continuity equation') which we solve explicitly. The dynamic for a distribution of...

A numerical algorithm is described in which changes of geometry caused by wear can be simulated by ascribing fictitious anisotropic eigenstrains to a set of surface nodes. These eigenstrains are related to the wear depth at any location, and can be incorporated into calculations using the existing expansion modules in commercial codes, such as anisotropic swelling or thermal expansion. The prop...

Gass, Zafra, and Qiu (1996) introduce a modified version of fictitious play for matrix gameswhere only themore successful player’s strategy is retained.This paper introduces additional modifications that appear to converge faster. c © 2001 JohnWiley & Sons, Inc.* Naval Research Logistics 48: 270–280, 2001

Fictitious play (FP) is a canonical game-theoretic learning algorithm which has been 4 deployed extensively in decentralized control scenarios. However standard treatments of FP, and of 5 many other game-theoretic models, assume rather idealistic conditions which rarely hold in realistic 6 control scenarios. This paper considers a broad class of best response learning algorithms, that we 7 refe...

I think an almost unbelievable amount of false philosophy has arisen through not realizing what 'existence' means. Bertrand Russell Logic and Knowledge. Essays 1901-1950 Edited by Robert Charles Marsh New York, Macmillan, 1956, p. 234. "Philosophical discussion of the notion of existence, or being, has centered on two main problems which have not always been very clearly distinguished. First, t...