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Asymmetric Bargaining

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Author Info
Francesco Passarelli () (ISLA, Universita' Bocconi, Milano)

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Abstract

In this paper I explore asymmetric coalitional bargaining. Players are possibly different in preferences and in probability to place threats; the agreements emerge randomly during negotiations. As a result, players negotiate with different degree of enthusiasm. I compute a solution that I call random type value. The random type value is the Shapley value when players have the same ability to place threats, the agreements are equally likely, and, either players have the same (possibly non-linear) preferences, or players like “in the same way” different agreements. In a pure bargaining game the random type value coincides with the Nash bargaining solution when the threat points and the agreements are uniformly distributed. This suggests that the random type value is well suited to model a broad range of bargaining games in a rich way. I provide two applications: the first one, to political games, where players are distinguishable by their “ideological profiles”; the second one, to incomplete contracts, where, ex-ante, a player can integrate with a partner in order to acquire a bargaining advantage over future trading parties.

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Publisher Info
Paper provided by ISLA, Centre for research on Latin American Studies and Transition Economies, Universita' Bocconi, Milano, Italy in its series ISLA Working Papers with number 26.

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Length: 41 pages
Date of creation: Jan 2007
Date of revision: Jan 2007
Handle: RePEc:slp:islawp:islawp26

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Related research
Keywords: cooperative bargaining; non-cooperative bargaining; asymmetric values; political power; contracts;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior
L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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References listed on IDEAS
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  1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
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  6. Francesco Passarelli & Jason Barr, 2004. "Preferences, the Agenda Setter, and the Distribution of Power in the EU," Working Papers Rutgers University, Newark 2004-012, Department of Economics, Rutgers University, Newark. [Downloadable!]
    Other versions:
  7. Stole, Lars A & Zwiebel, Jeffrey, 1996. "Organizational Design and Technology Choice under Intrafirm Bargaining," American Economic Review, American Economic Association, vol. 86(1), pages 195-222, March. [Downloadable!] (restricted)
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  9. Tasneem Chipty & Christopher M. Snyder, 1999. "The Role Of Firm Size In Bilateral Bargaining: A Study Of The Cable Television Industry," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 326-340, May. [Downloadable!] (restricted)
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  15. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-80, March. [Downloadable!] (restricted)
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  16. James M. Snyder & Michael M. Ting & Stephen Ansolabehere, 2005. "Legislative Bargaining under Weighted Voting," American Economic Review, American Economic Association, vol. 95(4), pages 981-1004, September. [Downloadable!]
  17. Ilya Segal, 2003. "Collusion, Exclusion, and Inclusion in Random-Order Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 70(2), pages 439-460, 04. [Downloadable!] (restricted)
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  19. Robert J. Weber, 1977. "Probabilistic Values for Games," Cowles Foundation Discussion Papers 471R, Cowles Foundation, Yale University. [Downloadable!]
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  20. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  21. Guesnerie, Roger, 1977. "Monopoly, syndicate, and shapley value: About some conjectures," Journal of Economic Theory, Elsevier, vol. 15(2), pages 235-251, August. [Downloadable!] (restricted)
    Other versions:
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