Edit count of the user (user_editcount) | 10125 |
Name of the user account (user_name) | 'Erel Segal' |
Age of the user account (user_age) | 414402438 |
Groups (including implicit) the user is in (user_groups) | [
0 => 'extendedconfirmed',
1 => '*',
2 => 'user',
3 => 'autoconfirmed'
] |
Rights that the user has (user_rights) | [
0 => 'extendedconfirmed',
1 => 'createaccount',
2 => 'read',
3 => 'edit',
4 => 'createtalk',
5 => 'writeapi',
6 => 'viewmywatchlist',
7 => 'editmywatchlist',
8 => 'viewmyprivateinfo',
9 => 'editmyprivateinfo',
10 => 'editmyoptions',
11 => 'abusefilter-log-detail',
12 => 'urlshortener-create-url',
13 => 'centralauth-merge',
14 => 'abusefilter-view',
15 => 'abusefilter-log',
16 => 'vipsscaler-test',
17 => 'collectionsaveasuserpage',
18 => 'reupload-own',
19 => 'move-rootuserpages',
20 => 'createpage',
21 => 'minoredit',
22 => 'editmyusercss',
23 => 'editmyuserjson',
24 => 'editmyuserjs',
25 => 'purge',
26 => 'sendemail',
27 => 'applychangetags',
28 => 'spamblacklistlog',
29 => 'mwoauthmanagemygrants',
30 => 'reupload',
31 => 'upload',
32 => 'move',
33 => 'autoconfirmed',
34 => 'editsemiprotected',
35 => 'skipcaptcha',
36 => 'transcode-reset',
37 => 'transcode-status',
38 => 'createpagemainns',
39 => 'movestable',
40 => 'autoreview'
] |
Whether the user is editing from mobile app (user_app) | false |
Whether or not a user is editing through the mobile interface (user_mobile) | false |
Page ID (page_id) | 0 |
Page namespace (page_namespace) | 0 |
Page title without namespace (page_title) | 'Constrained equal awards' |
Full page title (page_prefixedtitle) | 'Constrained equal awards' |
Edit protection level of the page (page_restrictions_edit) | [] |
Page age in seconds (page_age) | 0 |
Action (action) | 'edit' |
Edit summary/reason (summary) | '' |
Old content model (old_content_model) | '' |
New content model (new_content_model) | 'wikitext' |
Old page wikitext, before the edit (old_wikitext) | '' |
New page wikitext, after the edit (new_wikitext) | ''''Constrained equal awards''' '''(CEA)''' is a division rule for solving [[bankruptcy problem]]<nowiki/>s. According to this rule, each claimant should receive an equal amount, except that no claimant should receive more than his/her claim. In the context of taxation, it is known as '''leveling tax'''.<ref name=":1">{{Cite journal|last=William|first=Thomson|date=2003-07-01|title=Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey|url=https://www.sciencedirect.com/science/article/abs/pii/S0165489602000707|journal=Mathematical Social Sciences|language=en|volume=45|issue=3|pages=249–297|doi=10.1016/S0165-4896(02)00070-7|issn=0165-4896}}</ref>
== Formal definition ==
There is a certain amount of money to divide, denoted by ''<math>E</math>'' (=Estate or Endowment). There are ''n'' ''claimants''. Each claimant ''i'' has a [[Claim in bankruptcy|''claim'']] denoted by ''<math>c_i</math>''. Usually, <math>\sum_{i=1}^n c_i > E</math>, that is, the estate is insufficient to satisfy all the claims.
The '''CEA''' rule says that each claimant ''i'' should receive <math>\min(c_i, r)</math>, where ''r'' is a constant chosen such that <math>\sum_{i=1}^n \min(c_i,r) = E</math>. The rule can also be described algorithmically as follows:
* Initially, all agents are active.
* While there are remaining units of the estate:
** The next estate unit is divided equally among all active agents.
** Each agent whose total allocation equals its claim becomes inactive.
== Examples ==
Examples with two claimants:
* <math>CEA(60,90; 100) = (50,50)</math>; here <math>r=50</math>. In general, when all claims are at least <math>E/n</math>, each claimant receives exactly <math>E/n</math>.
* <math>CEA(40,80; 100) = (40,60)</math>; here <math>r=60</math>.
Examples with three claimants:
* <math>CEA(50,100,150; 100) = (33.333, 33.333, 33.333)</math>; here <math>r=33.333</math>.
* <math>CEA(50,100,150; 200) = (50, 75, 75)</math>; here <math>r=75</math>.
* <math>CEA(50,100,150; 300) = (50, 100, 150)</math>; here <math>r=150</math>.
== References ==
{{Reflist}}
[[Category:Division rules for bankruptcy problems]]' |
Unified diff of changes made by edit (edit_diff) | '@@ -1,0 +1,27 @@
+'''Constrained equal awards''' '''(CEA)''' is a division rule for solving [[bankruptcy problem]]<nowiki/>s. According to this rule, each claimant should receive an equal amount, except that no claimant should receive more than his/her claim. In the context of taxation, it is known as '''leveling tax'''.<ref name=":1">{{Cite journal|last=William|first=Thomson|date=2003-07-01|title=Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey|url=https://www.sciencedirect.com/science/article/abs/pii/S0165489602000707|journal=Mathematical Social Sciences|language=en|volume=45|issue=3|pages=249–297|doi=10.1016/S0165-4896(02)00070-7|issn=0165-4896}}</ref>
+
+== Formal definition ==
+There is a certain amount of money to divide, denoted by ''<math>E</math>'' (=Estate or Endowment). There are ''n'' ''claimants''. Each claimant ''i'' has a [[Claim in bankruptcy|''claim'']] denoted by ''<math>c_i</math>''. Usually, <math>\sum_{i=1}^n c_i > E</math>, that is, the estate is insufficient to satisfy all the claims.
+
+The '''CEA''' rule says that each claimant ''i'' should receive <math>\min(c_i, r)</math>, where ''r'' is a constant chosen such that <math>\sum_{i=1}^n \min(c_i,r) = E</math>. The rule can also be described algorithmically as follows:
+
+* Initially, all agents are active.
+* While there are remaining units of the estate:
+** The next estate unit is divided equally among all active agents.
+** Each agent whose total allocation equals its claim becomes inactive.
+
+== Examples ==
+Examples with two claimants:
+
+* <math>CEA(60,90; 100) = (50,50)</math>; here <math>r=50</math>. In general, when all claims are at least <math>E/n</math>, each claimant receives exactly <math>E/n</math>.
+* <math>CEA(40,80; 100) = (40,60)</math>; here <math>r=60</math>.
+
+Examples with three claimants:
+
+* <math>CEA(50,100,150; 100) = (33.333, 33.333, 33.333)</math>; here <math>r=33.333</math>.
+* <math>CEA(50,100,150; 200) = (50, 75, 75)</math>; here <math>r=75</math>.
+* <math>CEA(50,100,150; 300) = (50, 100, 150)</math>; here <math>r=150</math>.
+
+== References ==
+{{Reflist}}
+[[Category:Division rules for bankruptcy problems]]
' |
New page size (new_size) | 2152 |
Old page size (old_size) | 0 |
Size change in edit (edit_delta) | 2152 |
Lines added in edit (added_lines) | [
0 => ''''Constrained equal awards''' '''(CEA)''' is a division rule for solving [[bankruptcy problem]]<nowiki/>s. According to this rule, each claimant should receive an equal amount, except that no claimant should receive more than his/her claim. In the context of taxation, it is known as '''leveling tax'''.<ref name=":1">{{Cite journal|last=William|first=Thomson|date=2003-07-01|title=Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey|url=https://www.sciencedirect.com/science/article/abs/pii/S0165489602000707|journal=Mathematical Social Sciences|language=en|volume=45|issue=3|pages=249–297|doi=10.1016/S0165-4896(02)00070-7|issn=0165-4896}}</ref> ',
1 => '',
2 => '== Formal definition ==',
3 => 'There is a certain amount of money to divide, denoted by ''<math>E</math>'' (=Estate or Endowment). There are ''n'' ''claimants''. Each claimant ''i'' has a [[Claim in bankruptcy|''claim'']] denoted by ''<math>c_i</math>''. Usually, <math>\sum_{i=1}^n c_i > E</math>, that is, the estate is insufficient to satisfy all the claims.',
4 => '',
5 => 'The '''CEA''' rule says that each claimant ''i'' should receive <math>\min(c_i, r)</math>, where ''r'' is a constant chosen such that <math>\sum_{i=1}^n \min(c_i,r) = E</math>. The rule can also be described algorithmically as follows:',
6 => '',
7 => '* Initially, all agents are active.',
8 => '* While there are remaining units of the estate:',
9 => '** The next estate unit is divided equally among all active agents.',
10 => '** Each agent whose total allocation equals its claim becomes inactive.',
11 => '',
12 => '== Examples ==',
13 => 'Examples with two claimants:',
14 => '',
15 => '* <math>CEA(60,90; 100) = (50,50)</math>; here <math>r=50</math>. In general, when all claims are at least <math>E/n</math>, each claimant receives exactly <math>E/n</math>.',
16 => '* <math>CEA(40,80; 100) = (40,60)</math>; here <math>r=60</math>.',
17 => '',
18 => 'Examples with three claimants:',
19 => '',
20 => '* <math>CEA(50,100,150; 100) = (33.333, 33.333, 33.333)</math>; here <math>r=33.333</math>.',
21 => '* <math>CEA(50,100,150; 200) = (50, 75, 75)</math>; here <math>r=75</math>.',
22 => '* <math>CEA(50,100,150; 300) = (50, 100, 150)</math>; here <math>r=150</math>.',
23 => '',
24 => '== References ==',
25 => '{{Reflist}}',
26 => '[[Category:Division rules for bankruptcy problems]]'
] |
Lines removed in edit (removed_lines) | [] |
All external links added in the edit (added_links) | [
0 => 'https://www.sciencedirect.com/science/article/abs/pii/S0165489602000707',
1 => '//doi.org/10.1016%2FS0165-4896(02)00070-7',
2 => '//www.worldcat.org/issn/0165-4896'
] |
All external links in the new text (all_links) | [
0 => 'https://www.sciencedirect.com/science/article/abs/pii/S0165489602000707',
1 => '//doi.org/10.1016%2FS0165-4896(02)00070-7',
2 => '//www.worldcat.org/issn/0165-4896'
] |
Links in the page, before the edit (old_links) | [] |
Whether or not the change was made through a Tor exit node (tor_exit_node) | false |
Unix timestamp of change (timestamp) | 1632931307 |
