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Recursive Bargaining with Dynamic Accumulation

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Book cover Distributed Decision Making and Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 417))

Abstract

We study a bargaining game (á la Rubinstein) in which parties are allowed to invest part of an available surplus. Therefore, in addition to the standard problem of how to divide a surplus for their own consumption, parties face the additional problem of how much to invest, knowing that the level of investment affects the surplus available in the next period. We provide an algorithm to solve the game when the number of bargaining stages is finite but tends to infinity.We show that the equilibrium investment and consumption shares become independent of the capital stock. The convergence of the equilibrium demands is affected by the elasticity of substitution and parties’ patience.

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References

  1. Admati, A.R., Perry, M.: Strategic delay in bargaining. Review of Economic Studies 54, 345–364 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  2. Cai, H.: Delay in multilateral bargaining under complete information. Journal of Economic Theory 93, 260–276 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  3. Flamini, F.: Dynamic Bargaining. Mimeograph. University of Glasgow, Glasgow (2009)

    Google Scholar 

  4. Ljungqvist, L., Sargent, T.: Recursive Macroeconomic Theory. MIT Press, Cambridge (2000)

    Google Scholar 

  5. Lockwood, B., Thomas, J.: Gradualism and irreversibility. Review of Economic Studies 69, 339–356 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  6. Muthoo, A.: Bargaining in a long run relationship with endogenous termination. Journal of Economic Theory 66, 590–598 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  7. Muthoo, A.: Bargaining Theory with Applications. Cambridge University Press, Cambridge (1999)

    MATH  Google Scholar 

  8. Osborne, M., Rubinstein, A.: Bargaining and Markets. Academic Press, San Diego (1990)

    MATH  Google Scholar 

  9. Rubinstein, A.: Perfect equilibrium in a bargaining game. Econometrica 50, 97–109 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  10. Sorger, G.: Recursive Nash bargaining over a productive asset. Journal of Economic Dynamic and Control 30, 2637–2659 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Stokey, N., Lucas, R.: Recursive Methods in Economic Dynamics. Harvard University, Cambridge (1989)

    MATH  Google Scholar 

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Flamini, F. (2012). Recursive Bargaining with Dynamic Accumulation. In: Johansson, R., Rantzer, A. (eds) Distributed Decision Making and Control. Lecture Notes in Control and Information Sciences, vol 417. Springer, London. https://doi.org/10.1007/978-1-4471-2265-4_6

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  • DOI: https://doi.org/10.1007/978-1-4471-2265-4_6

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2264-7

  • Online ISBN: 978-1-4471-2265-4

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