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Article Title:
Stand-off Rules in One Sentence?
Hi,
In this previous article entitled,
Year 2000, Fourth Edition Rule Book, and DATC 6.E.4 and 6.E.5
I asserted that the elementary and fundamental rules
concerning a unit's ability to project stand-off
power could be placed into one sentence if the term
"head-to-head" battle was used.
But, I ran into some problems as revealed later in
this article. This article does not
talk about what rules were intended by what rule
books, for let it be known that almost every Diplomacy
player plays as given by the DATC. Instead, this
article solves a different puzzle: can the rules
(whatever rules we are trying to express) be
expressed unambiguously in one, though perhaps
long, sentence?
What rules are we trying to express? Well, we all know
under what conditions a unit may physically move or not
physically move. That's simple. And, it is relatively
easy to express. So, this is not the rule which motivates
this discussion.
The rule we are trying to express in one (long) sentence
is this: under what conditions does a unit project
stand-off power into a province.
My first thought here is this rule called M:
Rule M: When a unit U attempts to execute a legal
move order to province P, even if this unit fails
to physically move, or even if this unit is eventually
dislodged, it always has the ability to stand-off
another unit attempting to enter province P unless a
specific exception is cited later.
Of course, it is implied that if the unit U did move
to province P, then it did exercise its stand-off
ability, because it did so to disallow any other
potentially competing units from entering province P.
Of course any unit which did not physicall move may
subsequently be dislodged.
We will now explore what ways we can state rules in
an umambiguous fashion and hopefully in a relatively
concise fashion. We will explore this by considering
theoretical rule sets. Please note that we are not
discussing who or who does not play by any theoretical
rule set, but instead are only talking about our
ability to express any given theoretical rule set
clearly, unambiguously, and hopefully concisely.
***********************
Theoeretical Rule Set 1
***********************
Let our first theoretical rule set be nothing more
than Rule M as given above except that at the end
we say that there are no exceptions to the rule.
This rule set would have only one rule, R1.
R1: When a unit U attempts to execute a legal
move order to province P, even if this unit fails
to physically move, or even if this unit is eventually
dislodged, it always has the ability to stand-off
another unit attempting to enter province P. And,
there are no exceptions to this rule.
Because this theoretical rule set under discussion
has no exceptions to the above rule, that is, because
this rule sets grants all units maximum power, there
are no exceptions that need to be made. Therefore,
the above statement of R1 is itself sufficient to
unambiguously explain this rule set.
*******************************
Rule Sets Containing Exceptions
*******************************
When we enter into the description of theoretical
rule sets containing exceptions to Rule M, things
become more complicated.
Let us start introducing tools or new definitions.
Our final statement of the rule may or may not use
these definitions, but we will probably use these
definitions during the construction of the rule set.
Here are two definitions to be used by a unit which
could not physically move:
1. Stiffled Move or Stiffled Unit: When a unit is unable
to physically move but still projects an ability to stand-off
other units, this unit experienced a stiffled move and is
called a stiffled unit.
2. Impotent Move or Impotent Unit: When it is said that
a unit had an impotent move, the unit itself is impotent,
and this means that not only did it physically fail to
move, but that it projects no stand-off ability into the
province it desired to move to.
A stiffled move is theoretically more powerful than an
impotent move because the stiffled unit still has the
ability to stand-off other units in the province the
said unit attempted to move to.
We now have a tree for a given move:
1. Physically did move.
Subsequent dislodgement is impossible.
2. Physically failed to move.
Subsequent dislodgement is possible.
2a. Stiffled Move or Stiffled Unit.
2b. Impotent Move or Impotent Unit.
It will be noted that sometimes the rule book or rule books
seem to suggest that the only time a unit cannot move
is when it is in a generic stand-off. Let us, instead,
leave the term "stand-off" and "generic stand-off" behind
and more rigorously define all conditions under which
a unit cannot physically move.
A unit U is unable to physically move under the following
conditions:
* A failed lean: Unit U did not have sufficient
strength to move to Province P to dislodge the unit H
in provice P that was holding there because unit H
held with an equal or greater strength.
* A failed settle: Unit U was unable to
move to province P because one or more units
also attempting to move to province P attempted
to do so with an equal or greater strength.
* A failed head of equal strength: Unit U was unable
to move to province P because in so doing it encountered
a head-to-head battle wherein the enemy was of an equal
strength.
* A failed head of greater strength: Unit U was
unable to move to province P because in so doing it
encountered a head-to-head battle wherein the enemy
was of a greater strength.
Note that we do not have a concept called a "failed head,"
but instead have two distinct concepts, "failed head of
equal strength," and "failed head of greater strength."
Those who have worked with the rules already know how
not making this distinction allows ambiguity to creep
into the rule set.
I am trying to be all inclusive, so I hope that the above
definitions do not exclude the DATC. I do not think that
they do, because the DATC would never suggest that a unit
U engaged in a head-to-head battle wherein the enemy was
of equal or stronger strength would ever have the
ability to physically move to its desired province.
We will attempt the following procedure in defining a rule
set, and through these experiments see what happens. First,
we use a definition of how a unit physically failed to move
and combine it with its status of either a stiffled unit
or an impotent unit.
Here is a generic chart used to define these powers with respect
to unit U having failed to physically move:
* A failed lean: Unit U is either stiffled or impotent,
but not both.
* A failed settle: Unit U is either stiffled or impotent,
but not both.
* A failed head of equal strength: Unit U is either stiffled
or impotent, but not both.
* A failed head of greater strength: Unit U is either stiffled
or impotent, but not both.
Then we take the rule set as defined and try to turn it into
one, concise sentence. We may also note tricky situations and
how they are effected by the given rule set under discussion.
***********************
Theoretical Rule Set 2
***********************
Let's begin by constructing our second theoretical rule set.
For a unit U having failed to physically move:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is impotent.
* A failed head of greater strength: Unit U is impotent.
We can now write this out:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
always has the ability to stand-off other units
attempting to enter province P
except when unit U is engaged in a head-to-head
battle wherein the enemy is of equal or stronger strength.
We could even write it like this by using a new term:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
is impotent when engaged in a head-to-head
battle wherein the enemy is of equal or stronger strength.
I feel very confident that the above is completely
unambiguous.
Now, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. This is because unit U is impotent.
Since everyone knows this rule, and since this rule
will be a part of every theoretical rule set we
explore in this complete article, I may not repeat this
example in the subsequent sections where other
theoretical rule sets are discussed.
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion say that unit U
is impotent (which is a shorter way of saying that
unit U lacks the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is always impotent.
(because unit U is engaged in a head-to-head battle
wherein the enemy is of a greater strength).
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of no, because unit U is impotent.
***********************
Theoretical Rule Set 3
**********************
Let's begin by constructing our third theoretical rule set.
For a unit U having failed to physically move:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of greater strength: Unit U is impotent.
We can now write this out:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
always has the ability to stand-off other units
attempting to enter province P
except when unit U is engaged in a head-to-head
battle wherein the enemy is of stronger strength.
We could even write it like this by using a new term:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
is impotent when engaged in a head-to-head
battle wherein the enemy is of stronger strength.
I feel very confident that the above is completely
unambiguous.
Now, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. This is because unit U is impotent.
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion say that unit U
is impotent (which is a shorter way of saying that
unit U lacks the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is always impotent
(because unit U is engaged in a head-to-head battle
wherein the enemy is of a greater strength).
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of yes, because unit U is stiffled
(it has the ability to stand-off any other
units attempting to enter province P).
**********************
Theoretical Rule Set 4: DATC
**********************
One motivation for this article, was that I tried to take
the DATC and place it in one unambiguous sentence, and
this failed. Now I see why; the DATC is, in a sense,
"inconsistent" in its use of the elementary rule building
blocks as defined in this article.
For if we begin by constructing our fourth theoretical
rule set thus:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of losing strength: Unit U is stiffled.
We essentially are granting all units maximum power, as
if no exceptions were made at all: we are back to Rule M.
What happens in the DATC as of early in the year 2005 is
this:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of greater strength: Unit U is stiffled OR impotent.
Note that last line: it is building the rule inconsistent
with the rules defined in this article, allowing a unit U
in a failed head-to-head battle sometimes to be stiffled
and sometimes to be impotent.
So, that is why I could not take the DATC and unambiguously
create a one sentence explanation of it.
Okay, so we forget about creating one sentence. This is,
of course, bad, because the rules cannot be conveyed easily.
Of course, maybe the reader can place it into one sentence,
if so, please do so.
Now let's turn to the examples for clarification.
That is, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. For the rules currently under discussion,
Unit U is arbitrarily considered impotent
in this example (so that it matches the behavior
stated in the rule books).
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion arbitrarily
allow unit U to be stiffled in this particular
situation (which is a shorter way of saying that
unit U does have the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is arbitrarily
considered stiffled (which is a shorter way of
saying that unit U does have the ability to
stand-off any units attempting to enter into
province P)
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of yes, because unit U is stiffled.
Summary of examples: the word "arbitrarily" is used
because in some scnearios when unit U is engaged
in a head-to-head battle wherein the enemy is of
a stronger force, the DATC says that U is impotent,
and in still other scenarios when unit U is engaged
in a head-to-head battle wherein the enemy is of
a stronger force, the DATC says that U is stiffled.
***********
Conclusions
***********
This was an exploration into whether the elementary
rules of the game could be stated unambiguously
in one sentence.
Thanks
Article Title:
Stand-off Rules in One Sentence?
Hi,
In this previous article entitled,
Year 2000, Fourth Edition Rule Book, and DATC 6.E.4 and 6.E.5
I asserted that the elementary and fundamental rules
concerning a unit's ability to project stand-off
power could be placed into one sentence if the term
"head-to-head" battle was used.
But, I ran into some problems as revealed later in
this article. This article does not
talk about what rules were intended by what rule
books, for let it be known that almost every Diplomacy
player plays as given by the DATC. Instead, this
article solves a different puzzle: can the rules
(whatever rules we are trying to express) be
expressed unambiguously in one, though perhaps
long, sentence?
What rules are we trying to express? Well, we all know
under what conditions a unit may physically move or not
physically move. That's simple. And, it is relatively
easy to express. So, this is not the rule which motivates
this discussion.
The rule we are trying to express in one (long) sentence
is this: under what conditions does a unit project
stand-off power into a province.
My first thought here is this rule called M:
Rule M: When a unit U attempts to execute a legal
move order to province P, even if this unit fails
to physically move, or even if this unit is eventually
dislodged, it always has the ability to stand-off
another unit attempting to enter province P unless a
specific exception is cited later.
Of course, it is implied that if the unit U did move
to province P, then it did exercise its stand-off
ability, because it did so to disallow any other
potentially competing units from entering province P.
Of course any unit which did not physicall move may
subsequently be dislodged.
We will now explore what ways we can state rules in
an umambiguous fashion and hopefully in a relatively
concise fashion. We will explore this by considering
theoretical rule sets. Please note that we are not
discussing who or who does not play by any theoretical
rule set, but instead are only talking about our
ability to express any given theoretical rule set
clearly, unambiguously, and hopefully concisely.
***********************
Theoeretical Rule Set 1
***********************
Let our first theoretical rule set be nothing more
than Rule M as given above except that at the end
we say that there are no exceptions to the rule.
This rule set would have only one rule, R1.
R1: When a unit U attempts to execute a legal
move order to province P, even if this unit fails
to physically move, or even if this unit is eventually
dislodged, it always has the ability to stand-off
another unit attempting to enter province P. And,
there are no exceptions to this rule.
Because this theoretical rule set under discussion
has no exceptions to the above rule, that is, because
this rule sets grants all units maximum power, there
are no exceptions that need to be made. Therefore,
the above statement of R1 is itself sufficient to
unambiguously explain this rule set.
*******************************
Rule Sets Containing Exceptions
*******************************
When we enter into the description of theoretical
rule sets containing exceptions to Rule M, things
become more complicated.
Let us start introducing tools or new definitions.
Our final statement of the rule may or may not use
these definitions, but we will probably use these
definitions during the construction of the rule set.
Here are two definitions to be used by a unit which
could not physically move:
1. Stiffled Move or Stiffled Unit: When a unit is unable
to physically move but still projects an ability to stand-off
other units, this unit experienced a stiffled move and is
called a stiffled unit.
2. Impotent Move or Impotent Unit: When it is said that
a unit had an impotent move, the unit itself is impotent,
and this means that not only did it physically fail to
move, but that it projects no stand-off ability into the
province it desired to move to.
A stiffled move is theoretically more powerful than an
impotent move because the stiffled unit still has the
ability to stand-off other units in the province the
said unit attempted to move to.
We now have a tree for a given move:
1. Physically did move.
Subsequent dislodgement is impossible.
2. Physically failed to move.
Subsequent dislodgement is possible.
2a. Stiffled Move or Stiffled Unit.
2b. Impotent Move or Impotent Unit.
It will be noted that sometimes the rule book or rule books
seem to suggest that the only time a unit cannot move
is when it is in a generic stand-off. Let us, instead,
leave the term "stand-off" and "generic stand-off" behind
and more rigorously define all conditions under which
a unit cannot physically move.
A unit U is unable to physically move under the following
conditions:
* A failed lean: Unit U did not have sufficient
strength to move to Province P to dislodge the unit H
in provice P that was holding there because unit H
held with an equal or greater strength.
* A failed settle: Unit U was unable to
move to province P because one or more units
also attempting to move to province P attempted
to do so with an equal or greater strength.
* A failed head of equal strength: Unit U was unable
to move to province P because in so doing it encountered
a head-to-head battle wherein the enemy was of an equal
strength.
* A failed head of greater strength: Unit U was
unable to move to province P because in so doing it
encountered a head-to-head battle wherein the enemy
was of a greater strength.
Note that we do not have a concept called a "failed head,"
but instead have two distinct concepts, "failed head of
equal strength," and "failed head of greater strength."
Those who have worked with the rules already know how
not making this distinction allows ambiguity to creep
into the rule set.
I am trying to be all inclusive, so I hope that the above
definitions do not exclude the DATC. I do not think that
they do, because the DATC would never suggest that a unit
U engaged in a head-to-head battle wherein the enemy was
of equal or stronger strength would ever have the
ability to physically move to its desired province.
We will attempt the following procedure in defining a rule
set, and through these experiments see what happens. First,
we use a definition of how a unit physically failed to move
and combine it with its status of either a stiffled unit
or an impotent unit.
Here is a generic chart used to define these powers with respect
to unit U having failed to physically move:
* A failed lean: Unit U is either stiffled or impotent,
but not both.
* A failed settle: Unit U is either stiffled or impotent,
but not both.
* A failed head of equal strength: Unit U is either stiffled
or impotent, but not both.
* A failed head of greater strength: Unit U is either stiffled
or impotent, but not both.
Then we take the rule set as defined and try to turn it into
one, concise sentence. We may also note tricky situations and
how they are effected by the given rule set under discussion.
***********************
Theoretical Rule Set 2
***********************
Let's begin by constructing our second theoretical rule set.
For a unit U having failed to physically move:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is impotent.
* A failed head of greater strength: Unit U is impotent.
We can now write this out:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
always has the ability to stand-off other units
attempting to enter province P
except when unit U is engaged in a head-to-head
battle wherein the enemy is of equal or stronger strength.
We could even write it like this by using a new term:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
is impotent when engaged in a head-to-head
battle wherein the enemy is of equal or stronger strength.
I feel very confident that the above is completely
unambiguous.
Now, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. This is because unit U is impotent.
Since everyone knows this rule, and since this rule
will be a part of every theoretical rule set we
explore in this complete article, I may not repeat this
example in the subsequent sections where other
theoretical rule sets are discussed.
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion say that unit U
is impotent (which is a shorter way of saying that
unit U lacks the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is always impotent.
(because unit U is engaged in a head-to-head battle
wherein the enemy is of a greater strength).
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of no, because unit U is impotent.
***********************
Theoretical Rule Set 3
**********************
Let's begin by constructing our third theoretical rule set.
For a unit U having failed to physically move:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of greater strength: Unit U is impotent.
We can now write this out:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
always has the ability to stand-off other units
attempting to enter province P
except when unit U is engaged in a head-to-head
battle wherein the enemy is of stronger strength.
We could even write it like this by using a new term:
A unit U, having a legal move order to province P,
and unable to physically move to province P,
and even if eventually dislodged,
is impotent when engaged in a head-to-head
battle wherein the enemy is of stronger strength.
I feel very confident that the above is completely
unambiguous.
Now, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. This is because unit U is impotent.
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion say that unit U
is impotent (which is a shorter way of saying that
unit U lacks the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is always impotent
(because unit U is engaged in a head-to-head battle
wherein the enemy is of a greater strength).
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of yes, because unit U is stiffled
(it has the ability to stand-off any other
units attempting to enter province P).
**********************
Theoretical Rule Set 4: DATC
**********************
One motivation for this article, was that I tried to take
the DATC and place it in one unambiguous sentence, and
this failed. Now I see why; the DATC is, in a sense,
"inconsistent" in its use of the elementary rule building
blocks as defined in this article.
For if we begin by constructing our fourth theoretical
rule set thus:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of losing strength: Unit U is stiffled.
We essentially are granting all units maximum power, as
if no exceptions were made at all: we are back to Rule M.
What happens in the DATC as of early in the year 2005 is
this:
* A failed lean: Unit U is stiffled.
* A failed settle: Unit U is stiffled.
* A failed head of equal strength: Unit U is stiffled.
* A failed head of greater strength: Unit U is stiffled OR impotent.
Note that last line: it is building the rule inconsistent
with the rules defined in this article, allowing a unit U
in a failed head-to-head battle sometimes to be stiffled
and sometimes to be impotent.
So, that is why I could not take the DATC and unambiguously
create a one sentence explanation of it.
Okay, so we forget about creating one sentence. This is,
of course, bad, because the rules cannot be conveyed easily.
Of course, maybe the reader can place it into one sentence,
if so, please do so.
Now let's turn to the examples for clarification.
That is, pretending as if we were explaining
the rules to a new player, let's give some examples.
For all these examples, we assume that unit U
has a legal move order to move to province P.
Example Everyone Knows
----------------------
A unit U failing to physically move to province P
has no ability to stand-off any unit in province P
if unit U is dislodged by a unit attacking from
province P. For the rules currently under discussion,
Unit U is arbitrarily considered impotent
in this example (so that it matches the behavior
stated in the rule books).
Example 1
---------
What if unit U is engaged in a head-to-head
battle wherein the enemey is of greater strength,
but unit U is not dislodged because it is beleagured?
The rules currently under discussion arbitrarily
allow unit U to be stiffled in this particular
situation (which is a shorter way of saying that
unit U does have the ability to stand-off any units
attempting to enter into province P).
Example 2
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy E1 is of greater strength,
and yet another enemy E2 is attempting to move
with even a greater strength than E1 into unit
U's province? There are two sub-cases:
unit U either ends up being beleaguered
or unit U is dislodged, depending on the circumstances.
But, regardless of the circumstances, for the rules
currently under discussion, unit U is arbitrarily
considered stiffled (which is a shorter way of
saying that unit U does have the ability to
stand-off any units attempting to enter into
province P)
Example 3
---------
What if unit U is engaged in a head-to-head
battle wherein the enemy is of equal strength;
does unit U have the ability to stand-off any
other units attempting to enter province P,
including those units having less attacking
strength than unit U?
For the rules currently under discussion, the
answer is that of yes, because unit U is stiffled.
Summary of examples: the word "arbitrarily" is used
because in some scnearios when unit U is engaged
in a head-to-head battle wherein the enemy is of
a stronger force, the DATC says that U is impotent,
and in still other scenarios when unit U is engaged
in a head-to-head battle wherein the enemy is of
a stronger force, the DATC says that U is stiffled.
***********
Conclusions
***********
This was an exploration into whether the elementary
rules of the game could be stated unambiguously
in one sentence.
Thanks