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Punishing greediness in Divide-the-dollar games

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Abstract

Brams and Taylor (1994) presented a version of the Divide-the-dollar game (DD), which they call DD1. DD1 su ers from the following drawback: when each player demands approximately the entire dollar, then if the least greedy player is unique, then this player obtains approximately the entire dollar even if he is only slightly less greedy than the other players. I introduce a parametrized family of 2-person DD games whose endpoints" (the games that correspond to the extreme points of the parameter space) are (1) a variant of DD1, and (2) a game that completely overcomes the greediness-related problem. I also study an n-person generalization of this family. Finally, I show that the modeling choice between discrete and continuous bids may have far-reaching implications in DD games

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  • Shiran Rachmilevitch, "undated". "Punishing greediness in Divide-the-dollar games," Working Papers WP2016/4, University of Haifa, Department of Economics.
    • Handle: RePEc:haf:huedwp:wp201604
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    2. Emin Karagözoğlu & Shiran Rachmilevitch, 2018. "Implementing egalitarianism in a class of Nash demand games," Theory and Decision, Springer, vol. 85(3), pages 495-508, October.
    3. Emin Karagözoğlu & Kerim Keskin & Çağrı Sağlam, 2023. "(In)efficiency and equitability of equilibrium outcomes in a family of bargaining games," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 175-193, March.
    4. Atakan Dizarlar & Emin Karagözoğlu, 2023. "Kantian equilibria of a class of Nash bargaining games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(4), pages 867-891, August.
    5. Shiran Rachmilevitch, 2022. "Reasonable Nash demand games," Theory and Decision, Springer, vol. 93(2), pages 319-330, September.
    6. Emin Karagözoğlu & Kerim Keskin, 2025. "Using ultimatum power as a leverage in resolving a bargaining conflict," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(2), pages 1-12, December.
    7. Shiran Rachmilevitch, 2020. "Rewarding moderate behavior in a dynamic Nash Demand Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 639-650, June.

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