Evolution of Division Rules
Several division rules have been proposed in the literature regarding how an arbiter should divide a bankrupt estate. Different rules satisfy different sets of axioms, but all rules satisfy claims boundedness which requires that no contributor be given more than her initial contribution. This paper takes two non-cooperative bargaining games - the contracting game (Young, 1998a), and the Nash demand game, and adds the axiom of claims boundedness to the rules of these games. Outcomes prescribed by all the division rules are strict Nash equilibria in the one-shot version of both these augmented games. We show that the division suggested by the truncated claims proportional rule is the unique long run outcome if we embed the augmented contracting game in Young’s (1993b) evolutionary bargaining model. With the augmented Nash demand game as the underlying bargaining game, the long run outcome is the division prescribed by the constrained equal awards rule.
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- Michihiro, Kandori & Rob, Rafael, 1998.
"Bandwagon Effects and Long Run Technology Choice,"
Games and Economic Behavior,
Elsevier, vol. 22(1), pages 30-60, January.
- Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
- Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
- Ellingsen, Tore & Robles, Jack, 2002.
"Does Evolution Solve the Hold-Up Problem?,"
Games and Economic Behavior,
Elsevier, vol. 39(1), pages 28-53, April.
- Tore Ellingsen & Jack Robles, 2000. "Does Evolution Solve the Hold-up Problem," Econometric Society World Congress 2000 Contributed Papers 1525, Econometric Society.
- Ellingsen, Tore & Robles, Jack, 2000. "Does Evolution Solve the Hold-up Problem?," SSE/EFI Working Paper Series in Economics and Finance 358, Stockholm School of Economics.
- Troger, Thomas, 2002. "Why Sunk Costs Matter for Bargaining Outcomes: An Evolutionary Approach," Journal of Economic Theory, Elsevier, vol. 102(2), pages 375-402, February.
- H. Peyton Young, 1998. "Conventional Contracts," Review of Economic Studies, Oxford University Press, vol. 65(4), pages 773-792.
- James Bergin & B. L. Lipman, 1994.
"Evolution with state-dependent mutations,"
199411, School of Economics, University College Dublin.
- BERGIN, James & LIPMAN, Bart, 1994. "Evolution with State-Dependent Mutations," CORE Discussion Papers 1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
- J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
- Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
- Herve Moulin, 2004. "Fair Division and Collective Welfare," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633116, March.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
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