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Mathematics of Operations Research

Volumn 26, Issue 1, 2001, Pages 89-104

Shapley-Shubik and Banzhaf indices revisited

(2) Laruelle, Annick a Valenciano, Federico b

a UNIVERSITY OF ALICANTE (Spain)

b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU (Spain)

Author keywords

Axiomatization; Collective decision making; Power indices; Simple games; Voting power

Indexed keywords

DECISION MAKING; OPERATIONS RESEARCH;

AXIOMATIZATION; BANZHAF POWER INDICES;

GAME THEORY;

EID: 0035261778 PISSN: 0364765X EISSN: None Source Type: Journal
DOI: 10.1287/moor.26.1.89.10589 Document Type: Article

Times cited : (93)

References (34)

1
- 0007676067
- Two new axiomatizations of the Banzhaf semivalue
- Forth-coming
- (1999) Span. Econom. Rev.
- Albizuri, J.M.¹ Ruiz, L.²

2
- 0000265025
- Weighted voting doesn't work: A mathematical analysis
- (1965) Rutgers Law Rev. , vol.19 , pp. 317-343
- Banzhaf, J.F.¹

3
- 0001434276
- Multi-member electoral districts - Do they violate the "one man, one vote" principle?
- (1966) Yale Law J. , vol.75 , pp. 1309-1338

4
- 0007663724
- Characterizing the Banzhaf and Shapley values assuming limited linearity
- (1982) Internat. J. Game Theory , vol.11 , pp. 1-12
- Bolger, E.M.¹

5
- 0002297276
- Power and size: A new paradox
- (1976) Theory Decision , vol.7 , pp. 29-56
- Brams, S.J.¹ Affuso, P.J.²

6
- 0040199990
- Weighted weak semivalues
- (2000) Internat. J. Game Theory , vol.29 , pp. 1-9
- Calvo, E.¹ Santos, J.C.²

7
- 0002861357
- Control of collectivities and the power of a collectivity to act
- B. Lieberman, Ed., Gordon and Breach, London, U.K.
- (1971) Social Choice , pp. 269-300
- Coleman, J.S.¹

8
- 85050788000
- Loss of power
- (1973) Amer. Soc. Res , vol.38 , pp. 1-17

9
- 34250283139
- A new index of power for simple n-person games
- (1978) Internat. J. Game Theory , vol.7 , pp. 113-123
- Deegan, J.¹ Packel, E.W.²

10
- 33845586846
- On the uniqueness of the Shapley value
- (1975) Internat. J. Game Theory , vol.4 , pp. 131-139
- Dubey, P.¹

11
- 0002877568
- Mathematical properties of the Banzhaf power index
- (1979) Math. Oper. Res. , vol.4 , pp. 99-131
- Shapley, L.S.¹

12
- 0000007234
- Semivalues of simple games
- (1987) Math. Oper. Res. , vol.12 , pp. 185-192
- Einy, E.¹

13
- 0001292475
- Postulates and paradoxes of relative voting power - A critical reappraisal
- (1995) Theory Decision , vol.38 , pp. 195-229
- Felsenthal, D.S.¹ Machover, M.²

14
- 0003588916
- Edward Elgar Publishers, London, U.K.
- (1998) The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes

15
- 21844526187
- Alternative axiomatic characterizations of the Shapley and Banzhaf values
- (1995) Internat. J. Game Theory , vol.24 , pp. 179-186
- Feltkamp, V.¹

16
- 21844521742
- Collusion properties of values
- (1994) Internat. J. Game Theory , vol.23 , pp. 261-281
- Haller, H.¹

17
- 0001898867
- Power, luck and the right index
- (1983) J. Econom. , vol.43 , pp. 21-29
- Hollèr, M.J.¹ Packel, E.W.²

18
- 0000416561
- On the measurement of power: Some reactions to Laver
- (1978) Environment and Planning , vol.A10 , pp. 907-914
- Johnston, R.J.¹

19
- 85037318492
- Power indices without the transfer axiom
- In Logic, Game theory and Social Choice. Harrie de Swaart ed., Tilburg University Press, Tilburg, The Netherlands
- (1999) Proc. Internat. Conf. LGS 99
- Khmelnitskaya, A.¹

20
- 4243999111
- IVIE Discussion paper WP-AD 99-10, Instituto Valenciano de Investigaciones Económicas, Valencia, Spain
- (1999) On the choice of a power index
- Laruelle, A.¹

21
- 85037303279
- Working paper DT5/1998, Dpto. Economía Aplicada I, Universidad del País Vasco, Bilbao, Spain
- (1998) On the measurement of inequality in the distribution of power in collective decision-making
- Valenciano, F.¹

22
- 85037302845
- Discussion paper 1/1999, Departamento de Economía Aplicada IV, Universidad del País Vasco, Bilbao, Spain
- (1999) Why should power indices be efficient?

23
- 0002071868
- An axiomatization of the Banzhaf value
- (1988) Internat. J. Game Theory , vol.17 , pp. 89-99
- Lehrer, E.¹

24
- 0031285523
- On an axiomatization of the Banzhaf value without the additivity axiom
- (1997) Internat. J. Game Theory , vol.26 , pp. 137-141
- Nowak, A.S.¹

25
- 0000319649
- Characterization of the Banzhaf-Coleman index
- (1978) SIAM J. Appl. Math. , vol.35 , pp. 315-327
- Owen, G.¹

26
- 0004260006
- Academic Press, New York
- (1982) Game Theory. 2nd Ed.

27
- 84971116267
- Decision rules and individual values in constitutional choice
- (1969) Amer. Political Sci. Rev. , vol.63 , pp. 40-56
- Rae, D.W.¹

28
- 0001633750
- Utility functions for simple games
- (1977) J. Econom. Theory , vol.16 , pp. 481-489
- Roth, A.E.¹

29
- 0001255447
- A value for n-person games
- (1953) Ann. Math. Studies , vol.28 , pp. 307-317
- Shapley, L.S.¹

30
- 84959582296
- A method for evaluating the distribution of power in a committee system
- (1954) Amer. Political Sci. Rev. , vol.48 , pp. 787-792
- Shubik, M.¹

31
- 0000012862
- Power indices in politics
- S. J. Brains, W. F. Lucas, P. D. Straffin, Jr. Eds. Springer Verlag, New York
- (1982) Political and Related Models , pp. 256-321
- Straffin, P.D.¹

32
- 0007632963
- Subjectivity in the valuation of games
- O. Moeschlin, D. Pallaschke, Eds. North Holland Publishing Co, Amsterdam
- (1979) Game Theory and Related Topics , pp. 129-136
- Weber, R.J.¹

33
- 0000959324
- Probabilistic values for games
- Cambridge University Press, Cambridge
- (1988) The Shapley Value: Essays in Honor of Lloyd S. Shapley , pp. 101-119
- Roth, A.E.¹

34
- 0002537385
- Monotonic solutions of cooperative games
- (1985) Internat. J. Game Theory , vol.14 , pp. 65-72
- Young, H.P.¹

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