Re: [s-d] [s-b] Proposal: MathFlag

["Jamie Dallaire" <bad.leprechaun@xxxxxxxxx>]

I'm not sure what you're asking. I HAVE been thinking that I should rework
this proposal and make it clearer because it is currently almost just a
stream-of-consciousness and as such probably quite unclear.

Here is what I mean with the "p": The idea is that my team could pick a
secret expression that looks, for example, like this:

32*x/(7*p+4)

specifying that p represents, hmm, I don't know, Ty-Guy6's mackerel. Or any
other attribute value within B that can only be a finite number.

The opposing team, trying to figure out how to predict our numbers, doesn't
know what p represents. The Gamemaster, however, does. So if the opposing
team were to submit an input of x = 4, then the Gamemaster would use x = 4
and look up the current value of p (right now: 425) to compute (when he gets
around to computing) the result of the expression:

32 * 4 / (7 * 425 + 4) = 128 / 2979 = 0.042967438737831487076200067136623

(hmm, I really should specify some guideline for reporting a certain number
of decimals... and maybe restrict expressions to even shorter lengths...
otherwise this looks HARD!)

BP

On Tue, Oct 7, 2008 at 3:08 PM, Tyler <wisety@xxxxxxxxx> wrote:

> Hey, I like the sound of it, but I don't fully understand the 'p' thing. It
> sounds like you are saying, you only can do this, this, this, and, oh yeah,
> anything else. How is someone supposed to guess what that p is? Couldn't
> you
> make p change x to a specified constant every time?
>
> On Sun, Oct 5, 2008 at 11:26 PM, Jamie Dallaire <bad.leprechaun@xxxxxxxxx
> >wrote:
>
> > Here's an attempt at a subgame. There are still several ndays before
> > voting,
> > so please do suggest improvements to the subgame as I'm not sure where to
> > set the limits myself. E.G. should the list of operators include simple
> > logical ones like IF statements? That might get to be too ridiculously
> > difficult. E.G. how many characters sets a reasonable limit for each
> team's
> > secret expression?
> >
> > Also, I'm not following the usual language of attributes and whatnot. I
> > don't think this needs to be so within a subgame as long as it is
> > internally
> > consistent, right? Everyone ok with this?
> >
> > I submit the following Proposal, entitled "MathFlag":
> > {
> > Create a Subgame named "MathFlag", described by the Game Document that
> > reads
> > as follows:
> > {{
> > "MathFlag" is a team-based Subgame, described by this Game Document.
> >
> > This Subgame, when it is Open, is always in one and only one of four
> > Stages:
> > Preliminary, Selection, Active, or Challenge.
> >
> > When this Subgame becomes Open, it is in the Preliminary Stage. During
> the
> > Preliminary Stage, Players (save for the Gamemaster) may join MathFlag by
> > announcement to the Public Forum. The Gamemaster may cause the Subgame to
> > move to the Selection Stage at a time of his choosing, provided at least
> 2
> > rdays have elapsed since the Preliminary Stage began, by announcing the
> > makeup of the two opposing teams to the Public Forum. These teams must
> > collectively include every Player who has joined MathFlag (and only those
> > Players), and these Players must be distributed randomly and as evenly as
> > possible between the two teams.
> >
> > During the Selection stage, any Player may privately submit a Proposed
> > Secret Expression to the Gamemaster. The Gamemaster may cause the Subgame
> > to
> > move to the Active Stage by announcement to the Public Forum at a time of
> > his choosing, provided at least 2 rdays have elapsed since the Selection
> > Stage began and at least one member of each team has submitted a valid
> > Proposed Secret Expression. When the Active Stage begins, the last valid
> > Proposed Secret Expression submitted by any member of each team becomes
> > that
> > team's Secret Expression. The Secret Expression may never be changed.
> >
> > A Proposed Secret Expression is valid if it fulfills the following
> > requirements:
> > - It includes no spaces.
> > - It consists of a maximum of 16 characters.
> > - It contains only characters from the following set: {- + / * ( ) 0 1 2
> 3
> > 4
> > 5 6 7 8 9 x p}
> > - If it contains the character "p", it is accompanied by an explanation
> of
> > which specific Attribute's Value this character represents. The Range of
> > this Attribute must only include finite numbers.
> >
> > During the Active stage, any Player may submit (to the Public Forum) an
> > Input, which must be a single integer. The Gamemaster may, by
> announcement
> > to the Public Forum, Compute at any given time, provided that at least 1
> > rday has elapsed since he last Computed and since the MathFlag last
> entered
> > the Active Stage. The Gamemaster is obliged to Compute within 2 rdays of
> > receiving Inputs from members of both teams. When the Gamemaster
> Computes,
> > he evaluates the Result of each team's Secret Expression using the last
> > Input submitted by a member of the opposing team, as well as the current
> > Value of the Attribute represented by the character "p" for each team (if
> > relevant). The Gamemaster, when he Computes, must announce both the Input
> > used and the Result of each team's Secret Expression to the Public Forum.
> >
> > During Computation, the Gamemaster must abide by the following
> guidelines:
> > - "-" represents subtraction, "+" represents addition, "*" represents
> > multiplication, and "/" represents division.
> > - mathematical order of operations must be followed, considering all
> above
> > operations and brackets.
> > - "x" is to be replaced by the last Input submitted by a member of the
> > opposing team.
> > - "p" is to be replaced by the current Value of the Attribute specified
> by
> > the team having submitted the Secret Expression being evaluated.
> >
> > At any time during the Active Stage, any Player on either team may cause
> > MathFlag to move to the Challenge Stage by announcement to the Public
> > Forum.
> > When this occurs, the Gamemaster must randomly compose a list of 3
> integers
> > within the range [-1000,1000] and submit these to the Public Forum. These
> > integers are known as Queries. Any Player from each team may submit, to
> the
> > Public Forum, a Guess that corresponds to each Query. At a time of his
> > choosing, provided at least 2 rdays have passed since the Challenge Stage
> > was last entered, OR each Query has been met with a Guess from each team,
> > the Gamemaster may Compare the results.
> >
> > When he Compares, the Gamemaster evaluates the result of each team's
> Secret
> > Expression (exactly as when he Computes) using each individual Query as
> an
> > Input. He then compares this result to the Guess submitted by the
> opposing
> > team from the corresponding Query, the difference being known as the
> Error
> > for each individual Guess.
> >
> > If the sum of the three Errors for the team that caused the Challenge
> Stage
> > to begin is zero, all the Players on this team are Winners. The opposing
> > team's Players are Losers.
> >
> > If this is not the case, but the sum of the three Errors for the other
> team
> > is zero, the Players on the other team are Winners, and the Players on
> the
> > team that caused the Challenge Stage to begin are Losers.
> >
> > If neither team has a cumulative Error of zero, MathFlag re-enters the
> > Active Stage. If the cumulative Error of the team that last caused the
> > Challenge Stage to begin is greater than that of the opposing team, no
> > Player from the former team may submit an Input until the Gamemaster has
> > Computed once more.
> >
> > If, at any time, the Attribute with a Value represented by "p" in a
> team's
> > Secret Expression ceases to be an Attribute, or if its Range ceases to
> > include only finite numbers, this team's Players are Losers. Unless they
> > simultaneously become Losers, the opposing team's Players are Winners.
> >
> > Whenever Winners and/or Losers are declared, MathFlag ends.
> >
> > When MathFlag ends, all Winners are awarded a Solar-Powered Pocket
> > Calculator as a Trophy.
> > }}
> > }
> >
> > Billy Pilgrim
> > _______________________________________________
> > spoon-business mailing list
> > spoon-business@xxxxxxxxx
> > http://lists.ellipsis.cx/mailman/listinfo/spoon-business
> >
>
>
>
> --
>  -Tyler
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