Class information for:
Level 1: HOMOLOGY GROUPS OF SIMPLICIAL COMPLEXES//THE ARROW IMPOSSIBILITY THEOREM//TATONNEMENT PROCESS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
26842 244 19.7 27%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
1 4 ECONOMICS//EDUCATION & EDUCATIONAL RESEARCH//PSYCHOL 3876184
221 3       ECONOMICS//GAMES AND ECONOMIC BEHAVIOR//SOCIAL SCIENCES, MATHEMATICAL METHODS 50232
2475 2             SOCIAL CHOICE AND WELFARE//MATHEMATICAL SOCIAL SCIENCES//SOCIAL CHOICE 3963
26842 1                   HOMOLOGY GROUPS OF SIMPLICIAL COMPLEXES//THE ARROW IMPOSSIBILITY THEOREM//TATONNEMENT PROCESS 244

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 HOMOLOGY GROUPS OF SIMPLICIAL COMPLEXES authKW 500579 2% 100% 4
2 THE ARROW IMPOSSIBILITY THEOREM authKW 500579 2% 100% 4
3 TATONNEMENT PROCESS authKW 400462 2% 80% 4
4 SIMPLICIAL MAPPINGS authKW 250290 1% 100% 2
5 SOCIAL WELFARE FUNCTIONALS authKW 250290 1% 100% 2
6 THE BROUWER FIXED POINT THEOREM authKW 250290 1% 100% 2
7 ERGODIC SYSTEMS authKW 225258 1% 60% 3
8 SOCIAL CHOICE AND WELFARE journal 217834 22% 3% 53
9 AGGREGATION OF EVALUATIONS authKW 125145 0% 100% 1
10 AMARTYA SENS LIBERAL PARADOX authKW 125145 0% 100% 1

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Social Sciences, Mathematical Methods 27938 42% 0% 102
2 Economics 13900 80% 0% 196
3 Mathematics, Interdisciplinary Applications 1169 16% 0% 39
4 Public Administration 81 2% 0% 5
5 Psychology, Mathematical 64 1% 0% 3
6 Business, Finance 56 2% 0% 6
7 Mathematics, Applied 20 5% 0% 12
8 Operations Research & Management Science 6 2% 0% 4
9 Agricultural Economics & Policy 6 0% 0% 1
10 Physics, Mathematical 5 2% 0% 5

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 CIENCIAS ECON EMPREASARIALES 125145 0% 100% 1
2 DIPARTIMENTO CONSERVAZ DEI BENI ARCHITETTON AMB 125145 0% 100% 1
3 EHU TEORIA ECON 125145 0% 100% 1
4 EUSKAL HERRIKO UNIBERTSITATEA IEP 125145 0% 100% 1
5 GREQE EHESS 125145 0% 100% 1
6 CHATEAU LAFARGE 62571 0% 50% 1
7 ECON ECONMETR 62571 0% 50% 1
8 ACTUARIAL SCI ECONOMETR 45504 1% 18% 2
9 AKE 41714 0% 33% 1
10 SCW 31283 1% 13% 2

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 SOCIAL CHOICE AND WELFARE 217834 22% 3% 53
2 MATHEMATICAL SOCIAL SCIENCES 15605 6% 1% 14
3 THEORY AND DECISION 13968 5% 1% 12
4 JOURNAL OF MATHEMATICAL ECONOMICS 13698 6% 1% 14
5 JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION 8252 6% 0% 15
6 ECONOMIST 7693 2% 2% 4
7 PUBLIC FINANCE-FINANCES PUBLIQUES 6690 2% 1% 5
8 CONTRIBUTIONS TO POLITICAL ECONOMY 3474 0% 3% 1
9 ECONOMIC THEORY 2369 2% 0% 6
10 REVIEW OF ECONOMIC STUDIES 1841 2% 0% 5

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 HOMOLOGY GROUPS OF SIMPLICIAL COMPLEXES 500579 2% 100% 4 Search HOMOLOGY+GROUPS+OF+SIMPLICIAL+COMPLEXES Search HOMOLOGY+GROUPS+OF+SIMPLICIAL+COMPLEXES
2 THE ARROW IMPOSSIBILITY THEOREM 500579 2% 100% 4 Search THE+ARROW+IMPOSSIBILITY+THEOREM Search THE+ARROW+IMPOSSIBILITY+THEOREM
3 TATONNEMENT PROCESS 400462 2% 80% 4 Search TATONNEMENT+PROCESS Search TATONNEMENT+PROCESS
4 SIMPLICIAL MAPPINGS 250290 1% 100% 2 Search SIMPLICIAL+MAPPINGS Search SIMPLICIAL+MAPPINGS
5 SOCIAL WELFARE FUNCTIONALS 250290 1% 100% 2 Search SOCIAL+WELFARE+FUNCTIONALS Search SOCIAL+WELFARE+FUNCTIONALS
6 THE BROUWER FIXED POINT THEOREM 250290 1% 100% 2 Search THE+BROUWER+FIXED+POINT+THEOREM Search THE+BROUWER+FIXED+POINT+THEOREM
7 ERGODIC SYSTEMS 225258 1% 60% 3 Search ERGODIC+SYSTEMS Search ERGODIC+SYSTEMS
8 AGGREGATION OF EVALUATIONS 125145 0% 100% 1 Search AGGREGATION+OF+EVALUATIONS Search AGGREGATION+OF+EVALUATIONS
9 AMARTYA SENS LIBERAL PARADOX 125145 0% 100% 1 Search AMARTYA+SENS+LIBERAL+PARADOX Search AMARTYA+SENS+LIBERAL+PARADOX
10 ARROW PROBLEM 125145 0% 100% 1 Search ARROW+PROBLEM Search ARROW+PROBLEM

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 LAUWERS, L , (2000) TOPOLOGICAL SOCIAL CHOICE.MATHEMATICAL SOCIAL SCIENCES. VOL. 40. ISSUE 1. P. 1 -39 36 84% 11
2 TANAKA, Y , (2007) A TOPOLOGICAL APPROACH TO WILSON'S IMPOSSIBILITY THEOREM.JOURNAL OF MATHEMATICAL ECONOMICS. VOL. 43. ISSUE 2. P. 184-191 13 100% 2
3 TANAKA, Y , (2009) ON THE EQUIVALENCE OF THE ARROW IMPOSSIBILITY THEOREM AND THE BROUWER FIXED POINT THEOREM WHEN INDIVIDUAL PREFERENCES ARE WEAK ORDERS.JOURNAL OF MATHEMATICAL ECONOMICS. VOL. 45. ISSUE 3-4. P. 241-249 10 100% 1
4 TANAKA, Y , (2006) ON THE TOPOLOGICAL EQUIVALENCE OF THE ARROW IMPOSSIBILITY THEOREM AND AMARTYA SEN'S LIBERAL PARADOX.APPLIED MATHEMATICS AND COMPUTATION. VOL. 181. ISSUE 2. P. 1490-1498 10 100% 0
5 CAVALLI, F , NAIMZADA, A , (2015) A TATONNEMENT PROCESS WITH FADING MEMORY, STABILIZATION AND OPTIMAL SPEED OF CONVERGENCE.CHAOS SOLITONS & FRACTALS. VOL. 79. ISSUE . P. 116 -129 12 67% 0
6 LAUWERS, L , (2009) THE TOPOLOGICAL APPROACH TO THE AGGREGATION OF PREFERENCES.SOCIAL CHOICE AND WELFARE. VOL. 33. ISSUE 3. P. 449 -476 10 91% 1
7 TANAKA, Y , (2006) A TOPOLOGICAL PROOF OF ELIAZ'S UNIFIED THEOREM OF SOCIAL CHOICE THEORY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 176. ISSUE 1. P. 83-90 10 91% 0
8 TANAKA, Y , (2006) A TOPOLOGICAL APPROACH TO THE ARROW IMPOSSIBILITY THEOREM WHEN INDIVIDUAL PREFERENCES ARE WEAK ORDERS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 174. ISSUE 2. P. 961-981 9 100% 1
9 TANAKA, Y , (2006) ON THE EQUIVALENCE OF THE ARROW IMPOSSIBILITY THEOREM AND THE BROUWER FIXED POINT THEOREM.APPLIED MATHEMATICS AND COMPUTATION. VOL. 172. ISSUE 2. P. 1303-1314 8 100% 4
10 BAIGENT, N , ECKERT, D , (2004) ABSTRACT AGGREGATIONS AND PROXIMITY PRESERVATION: AN IMPOSSIBILITY RESULT.THEORY AND DECISION. VOL. 56. ISSUE 4. P. 359-366 8 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 23786 SEMIORDER//TOTAL PREORDERS//DIPARTIMENTO MATEMAT PLICATA BRUNO DE FINETTI
2 17800 OPPORTUNITY SETS//NONPROBABILISTIC DECISION RULES//SOCIAL CHOICE AND WELFARE
3 7408 STRATEGY PROOFNESS//SOCIAL CHOICE AND WELFARE//NASH IMPLEMENTATION
4 7205 SOCIAL CHOICE AND WELFARE//COMPUTATIONAL SOCIAL CHOICE//APPROVAL VOTING
5 17305 NON IDENTITY PROBLEM//UTILITAS//POPULATION ETHICS
6 30536 DESIGN TECHNOL ELECT SYST//PL MATH INFORMAT CONTROL//PERMANENT MAGNET SYNCHRONOUS MOTOR
7 10309 JOURNAL OF MATHEMATICAL ECONOMICS//INCOMPLETE MARKETS//STRATEGIC MARKET GAMES
8 21918 BICORRELATION//SECTORAL SHARES//TRICORRELATION
9 16264 CLAIMS PROBLEMS//BANKRUPTCY PROBLEMS//PROPORTIONAL RULE
10 11038 GENUINE SAVINGS//GREEN ACCOUNTING//INTERGENERATIONAL EQUITY

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