2011
DOI: 10.1007/s11127-011-9774-2
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The optimal prize structure of symmetric Tullock contests

Abstract: We show that the optimal prize structure of symmetric n-player Tullock tournaments assigns the entire prize pool to the winner, provided that a symmetric pure strategy equilibrium exists. If such an equilibrium fails to exist under the winner-take-all structure, we construct the optimal prize structure which improves existence conditions by dampening efforts. If no such optimal equilibrium exists, no symmetric pure strategy equilibrium induces positive efforts.

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Cited by 71 publications
(35 citation statements)
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“…By continuity, equilibria (with small abatement efforts) will exist under a prize structure which gives the same prize to every player except the one coming last. For details see Schweinzer & Segev (2012). 24 Once a nation has committed her share of output (1 − α)y(e i ) to the agreement, the only possibility for free-riding is on her abatement efforts-which we show in proposition 1 to be suboptimal.…”
Section: Agreement Formationmentioning
confidence: 85%
“…By continuity, equilibria (with small abatement efforts) will exist under a prize structure which gives the same prize to every player except the one coming last. For details see Schweinzer & Segev (2012). 24 Once a nation has committed her share of output (1 − α)y(e i ) to the agreement, the only possibility for free-riding is on her abatement efforts-which we show in proposition 1 to be suboptimal.…”
Section: Agreement Formationmentioning
confidence: 85%
“…23 The participation issue in subsection 2.5 already indicates that equilibrium 23 The parameters used for plotting the figure are n = 2, p = q = 1, a = 3/4, b = 1/10, r = 2, x * = 0.0601, g * = 0.0081, α * = 0.73, β * = 0.5, and endogenous provision of the public good. We should also point out that there is a long-standing issue with the existence of symmetric pure strategy equilibria when r > 1 in standard contests with many players (see, e.g., Schweinzer and Segev (2012)). As shown in propositions 2 and 3, however, existence conditions are not as restrictive in the present environment.…”
Section: Example Of An Efficient Tax Lottery Schemementioning
confidence: 99%
“…Thus, the equilibrium characterized by k F corresponds to the symmetric equilibrium in that Tullock contest. It has been shown by Schweinzer and Segev (2008) that the winner-take-all structure is optimal if this symmetric equilibrium exists and if the objective is to maximize total effort. That objective, in our case, corresponds to maximizing n k F , and, thus, the expected value of the best innovation.…”
Section: Tullock Contests Note That (3) Can Be Written Asmentioning
confidence: 99%