Subject: Re: one brief posting From: "L.G. Meredith" Date: Fri, 30 Jun 2006 11:48:20 -0700 Tan, An answer depends very much on what you mean by game theory, e.g. Von Neumann game theory, or Conway games, or ... It turns out that there is a very rich literature connected topology to games semantics. On the topology side Scott domains have been used to model lambda calculi and on the games side, games have also been used to model lambda calculi. The connection between the two is an active field of research in programming language semantics. Games give a more intensional view of computation allowing for the resolution of semantics questions like full abstraction for PCF and issues of resource management. The traditional Scott-Strachey structures are too abstract to capture these notions easily, though enrichments and variations abound. Best wishes, --greg On 6/30/06, Don Davis wrote: One brief posting today..............DMD __________________________________________________ Subject: Application of topology in game theory From: tieqiang.li@durham.ac.uk Date: Thu, 29 Jun 2006 21:16:06 +0100 Is there any research literature on the application of topology in game theory, e.g. modifying a "strategy space" as a topological space such as manifolds? Thank you very much. Tan -- L.G. Meredith Partner Biosimilarity LLC 505 N 72nd St Seattle, WA 98103 +1 206.650.3740