Characterization of the Set of Equilibria in Max-Min Group Contests with Continuous Efforts and a Private Good Prize

Mario Gilli and Andrea Sorrentino
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Andrea Sorrentino: Department of Economics, Management and Statistics, University of Milano-Bicocca

No 2024.21, Working Papers from Fondazione Eni Enrico Mattei

Abstract: We characterise the set of equilibria in a deterministic group contest with the weakest-link impact function, continuous efforts and a private good prize, complementing the results obtained by Chowdhury et al. (2016). We consider a two-stages two-groups model, where in the first stage the agents simultaneously choose the sharing rule, while in the second stage they choose efforts. Despite the existence of within-group symmetric Nash equilibria in pure strategies in the effort stage, there are combinations of possible sharing rules such that no pure strategy effort equilibria exist, hence for these sharing rules, the continuation payoffs are not defined, so that there exist no subgame perfect Nash equilibria in pure stragies. However, limiting ourselves to the restricted sharing rules case, we are able to state that there are continua of subgame perfect equilibria. In this case, by additional restrictions on the effort levels of each class of effort equilibria, we are able to computationally characterise the set of subgame perfect equilibria in pure strategies.

Keywords: Group contests; sharing rules; indeterminacy (search for similar items in EconPapers)
JEL-codes: C72 D71 D74 (search for similar items in EconPapers)
Date: 2024-07
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (1)

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Related works:
Working Paper: Characterization of the Set of Equilibria in Max-Min Group Contests with Continuous Efforts and a Private Good Prize (2024)
Working Paper: Characterization of the Set of Equilibria in Max-Min Group Contests with Continuous Efforts and a Private Good Prize (2024)
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