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Selectivity in hierarchical social systems

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  • Garcia-Martinez, Jose A.

Abstract

We consider a selection process and a hierarchical institution in a dynamic model as in Harrington (1998) [4], where agents are "climbing the pyramid" in a rank-order contest based on the "up or out" policy. Agents are matched in pairs to compete, and each pair faces a particular environment. They are ranked according to the quality of their performances in this particular environment, and a fraction of the highest ranked agents are promoted. The size of this fraction characterizes the selectivity of the process, and we distinguish between local and global selectivity. We study the role of the degree of selectivity in the dynamic process where types of agent differ in their expected performances. Surprisingly, we find that an increase in the selectivity of the process can be detrimental to the agents with the highest expected performances and can increase the survivability of the lesser performing. However, if the selectivity decreases, the only survivor is the agent with the highest expected performance.

Suggested Citation

  • Garcia-Martinez, Jose A., 2010. "Selectivity in hierarchical social systems," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2471-2482, November.
  • Handle: RePEc:eee:jetheo:v:145:y:2010:i:6:p:2471-2482
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    References listed on IDEAS

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    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Joseph E. Harrington Jr., 2000. "Progressive ambition, electoral selection, and the creation of ideologues," Economics of Governance, Springer, vol. 1(1), pages 13-23, March.
    3. Harrington, Joseph Jr., 1999. "The Equilibrium Level of Rigidity in a Hierarchy," Games and Economic Behavior, Elsevier, vol. 28(2), pages 189-202, August.
    4. Alos-Ferrer, Carlos, 1999. "Dynamical Systems with a Continuum of Randomly Matched Agents," Journal of Economic Theory, Elsevier, vol. 86(2), pages 245-267, June.
    5. Vega-Redondo, Fernando, 2000. "Unfolding Social Hierarchies," Journal of Economic Theory, Elsevier, vol. 90(2), pages 177-203, February.
    6. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    7. Joseph E. Harrington & Jr., 1999. "Rigidity of Social Systems," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 40-64, February.
    8. Harrington, Joseph E, Jr, 1998. "The Social Selection of Flexible and Rigid Agents," American Economic Review, American Economic Association, vol. 88(1), pages 63-82, March.
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    Cited by:

    1. Garcia-Martinez, Jose A., 2012. "An Unexpected Role of Local Selectivity in Social Promotion," MPRA Paper 36324, University Library of Munich, Germany.
    2. José A. García-Martínez, 2018. "A simple dynamic contest with a parameterized strength of competition," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 9(3), pages 305-332, August.
    3. Jiabin Wu, 2017. "Social Hierarchy and the Evolution of Behavior," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.

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