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Complexity and Markov Behavior in Bargaining with Investments

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This paper invokes complexity considerations to justify Markov behavior in a non-stationary bargaining model of Che and Sakovics (2004) in which the surplus depends on the players' relationship-specific investments. Using the notion of state complexity and the machine game analysis developed by Lee and Sabourian (2007), it is shown that if the players have lexicographic complexity-averse preferences then every Nash equilibrium of the game must be Markov.

Abstract

This paper invokes complexity considerations to justify Markov behavior in a non-stationary bargaining model of Che and Sakovics (2004) in which the surplus depends on the players' relationship-specific investments. Using the notion of state complexity and the machine game analysis developed by Lee and Sabourian (2007), it is shown that if the players have lexicographic complexity-averse preferences then every Nash equilibrium of the game must be Markov.

참고문헌 (9)

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  2. 이건도, "Encyclopedia of Complexity and Systems Science (Tight-binding molecular dynamics for carbon and applicatons to nanostructure formation)" (2009), Springer
  3. Che, Y-K., "A dynamic theory of holdup", Econometrica, 72, pp.1063~1103 (2004)
  4. Price discrimination with loss averse consumers, "Hahn, J-H.", ~ (2014)
  5. Heidhues, P., "Competition and price variation when consumers are loss averse", American Economic Review, 98, pp.1245~1268 (2008)
  6. Kalai, E., "Finite rationality and interpersonal complexity in repeated games", Econometrica, 56, pp.397~410 (1988)
  7. Lee, J., "Gambling reputation : repeated bargaining with outside options", Econometrica, 81, pp.1601~1672 (2013)
  8. Lee, J., "Coase theorem, complexity and transaction costs", Journal of Economic Theory, 135, pp.214~235 (2007)
  9. Merlo, A., "A stochastic model of sequential bargaining with complete information", Econometrica, 63, pp.371~399 (1995)

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