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Shipwrecks and treasure hunters

Author

Listed:
  • de Roos, Nicolas
  • Matros, Alexander
  • Smirnov, Vladimir
  • Wait, Andrew
Abstract
We examine dynamic search as a game in which two rivals explore (an island) for a hidden prize of known value. In every period until its discovery, the players decide how much of the unsearched area to comb. If a player finds the prize alone he wins it and the game ends. Players have a per-period discount factor and costs proportional to the area they search. First, as a benchmark for efficiency, we solve the one-player search problem. Second, in the two-player setting we show that typically there is inefficient over-search – a result akin to the tragedy of the commons. However, for players with intermediate levels of patience, there is the possibility of inefficient under-search as players incorporate the expected future payoffs in their current search decisions. Finally, with patient players, several counterintuitive results can arise: for example, players might be better off searching a larger island or looking for a less valuable prize.

Suggested Citation

  • de Roos, Nicolas & Matros, Alexander & Smirnov, Vladimir & Wait, Andrew, 2018. "Shipwrecks and treasure hunters," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 259-283.
    • Handle: RePEc:eee:dyncon:v:90:y:2018:i:c:p:259-283
    DOI: 10.1016/j.jedc.2018.03.004
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    References listed on IDEAS

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    Cited by:

    1. Bavly, Gilad & Heller, Yuval & Schreiber, Amnon, 2022. "Social welfare in search games with asymmetric information," Journal of Economic Theory, Elsevier, vol. 202(C).
    2. Matros, Alexander & Ponomareva, Natalia & Smirnov, Vladimir & Wait, Andrew, 2019. "Search without observability," Working Papers 2019-04, University of Sydney, School of Economics.
    3. Matros, Alexander & Ponomareva, Natalia & Smirnov, Vladimir & Wait, Andrew, 2022. "Search without looking," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

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    More about this item

    Keywords

    R&D; Search; Uncertainty;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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