Regularity of pure strategy equilibrium points in a class of bargaining games
We develop an index theory for the Stationary Subgame Perfect (SSP) equilibrium set in a class of n-player $(n\ge 2)$ sequential bargaining games with probabilistic recognition rules. For games with oligarchic voting rules (a class that includes unanimity rule), we establish conditions on individual utilities that ensure that for almost all discount factors, the number of SSP equilibria is odd and the equilibrium correspondence lower-hemicontinuous. For games with general, monotonic voting rules, we show generic (in discount factors) determinacy of SSP equilibria under the restriction that the agreement space is of dimension one. For non-oligarchic voting rules and agreement spaces of higher finite dimension, we establish generic determinacy for the subset of SSP equilibria in pure strategies. The analysis also extends to the case of fixed delay costs. Lastly, we provide a sufficient condition for uniqueness of SSP equilibrium in oligarchic games. Copyright Springer-Verlag Berlin/Heidelberg 2006
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Volume (Year): 28 (2006)
Issue (Month): 2 (06)
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- Baron David & Kalai Ehud, 1993. "The Simplest Equilibrium of a Majority-Rule Division Game," Journal of Economic Theory, Elsevier, vol. 61(2), pages 290-301, December.
- Merlo, Antonio & Wilson, Charles A, 1995. "A Stochastic Model of Sequential Bargaining with Complete Information," Econometrica, Econometric Society, vol. 63(2), pages 371-99, March.
- Ariel Rubinstein, 2010.
"Perfect Equilibrium in a Bargaining Model,"
Levine's Working Paper Archive
661465000000000387, David K. Levine.
- Kreps, David M & Wilson, Robert, 1982.
Econometric Society, vol. 50(4), pages 863-94, July.
- Liang, Zihao, 1993. "Continuity of equilibria in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 22(1), pages 27-34.
- Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-53, September.
- Shannon, Chris, 1994. "Regular nonsmooth equations," Journal of Mathematical Economics, Elsevier, vol. 23(2), pages 147-165, March.
- Eraslan, Hulya, 2002. "Uniqueness of Stationary Equilibrium Payoffs in the Baron-Ferejohn Model," Journal of Economic Theory, Elsevier, vol. 103(1), pages 11-30, March.
- Rui Pascoa, Mario & Ribeiro da Costa Werlang, Sergio, 1999. "Determinacy of equilibria in nonsmooth economies," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 289-302, November.
- DEBREU, Gérard, .
"Economies with a finite set of equilibria,"
CORE Discussion Papers RP
-67, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-35, September.
- Hans Haller & Roger Lagunoff, 1999.
"Genericity and Markovian Behavior in Stochastic Games,"
Game Theory and Information
9901003, EconWPA, revised 03 Jun 1999.
- Hans Haller & Roger Lagunoff, 2000. "Genericity and Markovian Behavior in Stochastic Games," Econometrica, Econometric Society, vol. 68(5), pages 1231-1248, September.
- Jackson, Matthew O. & Moselle, Boaz, 2002.
"Coalition and Party Formation in a Legislative Voting Game,"
Journal of Economic Theory,
Elsevier, vol. 103(1), pages 49-87, March.
- Jackson, Matthew O. & Moselle, Boaz, 1998. "Coalition and Party Formation in a Legislative Voting Game," Working Papers 1036, California Institute of Technology, Division of the Humanities and Social Sciences.
- Banks, Jeffrey S. & Duggan, John, 1999. "A Bargaining Model of Collective Choice," Working Papers 1053, California Institute of Technology, Division of the Humanities and Social Sciences.
- Eraslan, Hulya & Merlo, Antonio, 2002.
"Majority Rule in a Stochastic Model of Bargaining,"
Journal of Economic Theory,
Elsevier, vol. 103(1), pages 31-48, March.
- Kleinberg, Norman L., 1980. "Continuous economies with a finite set of equilibria," Journal of Mathematical Economics, Elsevier, vol. 7(1), pages 35-49, March.
- Tasos Kalandrakis, 2004. "Genericity of Minority Governments : The Role of Policy and Office," Wallis Working Papers WP39, University of Rochester - Wallis Institute of Political Economy.
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