Monotonicity and Nash implementation in matching markets with contracts

Haake C-J, Klaus B (2005) Working Papers. Institute of Mathematical Economics; 372.
Bielefeld: Universität Bielefeld.

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We consider general two-sided matching markets, so-called matching with contracts markets as introduced by Hatfield and Milgrom (2005), and analyze (Maskin) monotonic and Nash implementable solutions. We show that for matching with contracts markets the stable correspondence is monotonic and implementable (Theorems 1 and 3). Furthermore, any solution that is Pareto efficient, individually rational, and monotonic is a supersolution of the stable correspondence (Theorem 2). In other words, the stable correspondence is the minimal solution that is Pareto efficient, individually rational, and implementable.
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Haake C-J, Klaus B. Monotonicity and Nash implementation in matching markets with contracts. Working Papers. Institute of Mathematical Economics. Vol 372. Bielefeld: Universität Bielefeld; 2005.
Haake, C. - J., & Klaus, B. (2005). Monotonicity and Nash implementation in matching markets with contracts (Working Papers. Institute of Mathematical Economics, 372). Bielefeld: Universität Bielefeld.
Haake, C. - J., and Klaus, B. (2005). Monotonicity and Nash implementation in matching markets with contracts. Working Papers. Institute of Mathematical Economics, 372, Bielefeld: Universität Bielefeld.
Haake, C.-J., & Klaus, B., 2005. Monotonicity and Nash implementation in matching markets with contracts, Working Papers. Institute of Mathematical Economics, no.372, Bielefeld: Universität Bielefeld.
C.-J. Haake and B. Klaus, Monotonicity and Nash implementation in matching markets with contracts, Working Papers. Institute of Mathematical Economics, vol. 372, Bielefeld: Universität Bielefeld, 2005.
Haake, C.-J., Klaus, B.: Monotonicity and Nash implementation in matching markets with contracts. Working Papers. Institute of Mathematical Economics, 372. Universität Bielefeld, Bielefeld (2005).
Haake, Claus-Jochen, and Klaus, Bettina. Monotonicity and Nash implementation in matching markets with contracts. Bielefeld: Universität Bielefeld, 2005. Working Papers. Institute of Mathematical Economics. 372.
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