Core in a simple coalition formation game
We analyze the core of a class of coalition formation game in which every player's payoff depends only on the members of her coalition. We first consider anonymous games and additively separable games. Neither of these strong properties guarantee the existence of a core allocation, even if additional strong properties are imposed. We then introduce two top-coalition properties each of which guarantee the existence. We show that these properties are independent of the Scarf-balancedness condition. Finally we give several economic applications.
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Volume (Year): 18 (2001)
Issue (Month): 1 ()
|Note:||Received: 31 July 1999/Accepted: 5 January 2000|
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- Thomson, W., 1991. "Resource-Monotonic Solutions to the Problem of Fair Divosion when Preferences are Single-Peaked ," RCER Working Papers 301, University of Rochester - Center for Economic Research (RCER).
- Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
- Joseph Farrell and Suzanne Scotchmer., 1986.
Economics Working Papers
8616, University of California at Berkeley.
- Guesnerie Roger & Oddou Claude, 1979.
"Second best taxation as a game,"
CEPREMAP Working Papers (Couverture Orange)
- Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
- Milchtaich, Igal & Winter, Eyal, 2002.
"Stability and Segregation in Group Formation,"
Games and Economic Behavior,
Elsevier, vol. 38(2), pages 318-346, February.
- Greenberg, J. & Weber, S., 1991.
"Stable Coalition Structures with Unidimensional Set of Alternatives,"
9133, Tilburg - Center for Economic Research.
- Greenberg, J. & Weber, S., 1991. "Stable Coalition Structure with Unidimensional Set of Alternatives," Papers 91-11, York (Canada) - Department of Economics.
- Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
- WEBER, Shlomo & ZAMIR, Shmuel, .
"Proportional taxation: nonexstence of stable structures in an economy with a public good,"
CORE Discussion Papers RP
-621, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Weber, Shlomo & Zamir, Shmuel, 1985. "Proportional taxation: Nonexistence of stable structures in an economy with a public good," Journal of Economic Theory, Elsevier, vol. 35(1), pages 178-185, February.
- Demange, Gabrielle, 1994.
"Intermediate preferences and stable coalition structures,"
Journal of Mathematical Economics,
Elsevier, vol. 23(1), pages 45-58, January.
- Demange, G., 1991. "Intermediate Preferences and Stable Coalition Structures," DELTA Working Papers 91-16, DELTA (Ecole normale supérieure).
- Kaneko, Mamoru & Wooders, Myrna Holtz, 1986. "The core of a game with a continuum of players and finite coalitions: The model and some results," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 105-137, October.
- Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
- Dreze, J H & Greenberg, J, 1980.
"Hedonic Coalitions: Optimality and Stability,"
Econometric Society, vol. 48(4), pages 987-1003, May.
- Bettina Klaus & Hans Peters & Ton Storcken, 1998. "Strategy-proof division with single-peaked preferences and individual endowments," Social Choice and Welfare, Springer, vol. 15(2), pages 297-311.
- Quint, Thomas & Shubik, Martin, 2001. " Games of Status," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 349-72.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Greenberg Joseph & Weber Shlomo, 1993. "Stable Coalition Structures with a Unidimensional Set of Alternatives," Journal of Economic Theory, Elsevier, vol. 60(1), pages 62-82, June.
- Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December.
- Matthew O. Jackson & Asher Wolinsky, 1995.
"A Strategic Model of Social and Economic Networks,"
1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
- Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
- José Alcalde, 1995.
"Exchange-Proofness or Divorce-Proofness? Stability in One-Sided Matching Markets,"
Working Papers. Serie AD
1995-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer, vol. 1(1), pages 275-287, December.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- Thomson, William, 1995.
"Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked,"
Springer, vol. 5(2), pages 229-46, March.
- Thomson, W., 1991. "Population-Monotonic Solutions to the Problem of Fair Division when Preferences are Single-Peaked," RCER Working Papers 302, University of Rochester - Center for Economic Research (RCER).
- Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
- Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
- Rose-Ackerman, Susan, 1977. "The political economy of a racist housing market," Journal of Urban Economics, Elsevier, vol. 4(2), pages 150-169, April.
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