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Contract Adjustment under Uncertainty

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Author Info
Helge Holden ()
Lars Holden ()
Steinar Holden ()

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Abstract

Consider a contract over trade in continuous time between two players, according to which one player makes a payment to the other, in exchange for an exogenous service. At each point in time, either player may unilaterally require an adjustment of the contract payment, involving adjustment costs for both players. Players’ payoffs from trade under the contract, as well as from trade under an adjusted contract, are exogenous and stochastic. We consider players’ choice of whether and when to adjust the contract payment. It is argued that the optimal strategy for each player is to adjust the contract whenever the contract payment relative to the outcome of an adjustment passes a certain threshold, depending among other things of the adjustment costs. There is strategic substitutability in the choice of thresholds, so that if one player becomes more aggressive by choosing a threshold closer to unity, the other player becomes more passive. If players may invest in order to reduce the adjustment costs, there will be over-investment compared to the welfare maximizing levels.

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Paper provided by CESifo GmbH in its series CESifo Working Paper Series with number CESifo Working Paper No. 1472.

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Date of creation: 2005
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Handle: RePEc:ces:ceswps:_1472

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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References listed on IDEAS
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  1. Steinar Holden, 1999. "Renegotiation and the Efficiency of Investments," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 106-119, Spring. [Downloadable!] (restricted)
  2. Haller, Hans & Holden, Steinar, 1997. "Ratification Requirement and Bargaining Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(4), pages 825-51, November.
  3. David Lebow & Raven Saks & Beth Anne Wilson, 2003. "Downward Nominal Wage Rigidity: Evidence from the Employment Cost Index," Advances in Macroeconomics, Berkeley Electronic Press, vol. 3(1), pages 1117-1117. [Downloadable!] (restricted)
  4. Spencer, David E, 1998. "The Relative Stickiness of Wages and Prices," Economic Inquiry, Oxford University Press, vol. 36(1), pages 120-37, January.
  5. Caplin, A. & Leahy, J., 1992. "Aggregation and Optimization with State-Dependent Pricing," Harvard Institute of Economic Research Working Papers 1595, Harvard - Institute of Economic Research.
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  6. Sheshinski, Eytan & Weiss, Yoram, 1977. "Inflation and Costs of Price Adjustment," Review of Economic Studies, Blackwell Publishing, vol. 44(2), pages 287-303, June. [Downloadable!] (restricted)
  7. Macleod, W.B. & Malcomson, J.M., 1991. "Investments, Hold Up And The Reform Of Market Contracts," Cahiers de recherche 9114, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  8. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics. [Downloadable!]
  9. Hart, Oliver D & Moore, John, 1988. "Incomplete Contracts and Renegotiation," Econometrica, Econometric Society, vol. 56(4), pages 755-85, July. [Downloadable!] (restricted)
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