#17392: Make list of built-in normal form games
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Reporter: kcrisman | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.5
Component: game theory | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vinceknight/catalog_of_games | c343ff45a103cd23a3193d825713488b45196015
Dependencies: | Stopgaps:
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Comment (by vinceknight):
> Many of these are very standard in the literature. There should be
normative references, whether to an undergraduate text like Straffin or to
some other source, such as RAND corp. whitepapers or whatever.
Cool, will add references throughout (see later comments).
> Many of these games will have many different "versions" in the
literature - for instance, your numbers for PD are quite unorthodox, as
they are positive :-)
Very help to change it, perhaps once I go through and grab references for
each I'll just go with on of the many possible ones (if you are
particularly against this one I'll make sure I pick a different one).
> Maybe there should be way to specify the actual numbers for each, as
they have a standard form in some sense (one could check for these).
So would your idea for the PD for example, be to have a default standard
(as mentioned above) but that one could pass a set of arguments?
So for example one could pass the RSTP values (see 'Canonical PD payoff
matrix' here: http://en.wikipedia.org/wiki/Prisoner%27s_dilemma). I
suppose the thing with the PD is that RSTP notation is pretty common and
conventional, in all honesty I am not sure they are for some of the others
but will investigate.
Each game could have an initialisation test that checks if the values obey
the defining inequalities. Let me know if that was what you're thinking
and I'll go ahead and get working on it :)
> There are a number of evolutionary biology games that are quite
interesting that have parameters, and indeed parameters show up in many
advanced treatments of such games. Not sure how this is a useful comment
but anyway I think having parameters is a "good thing". I like Mesterton-
Gibbons' treatment of this (AMS STML volume 11).
Yeah, not at all against this idea (RSTP is certainly very common and
used).
> Finally, there are some comprehensive listings by e.g. Rapaport et al.,
Fishburn and Kilgour, and Robinson and Goforth, which might be interesting
to include here (or some later ticket) for 2x2 normal form games "types".
I'd suggest this be a further ticket as it could actually be something
that is added to the normal form game class so that we could for example
(a much simpler 'type') just be able to check if any game is symmetric.
--
Ticket URL: <http://trac.sagemath.org/ticket/17392#comment:8>
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