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We consider a multi-awards generalization of King Solomon's problem: $k$ identical and indivisible awards should be distributed among $n$ agents, $k<n$, with the top $k$ valuation agents receiving the awards. Agents have complete information about each others' valuations. Glazer and Ma (1989) analyzed the single-prize (i.e., $k=1$) version of this problem. We show that in the `more than two agents' problem the mechanism of Glazer and Ma admits inefficient equilibria and thus fails to solve Solomon's problem. So, first we modify their mechanism to rule out inefficient equilibria and implement efficient prize allocation in subgame perfect equilibrium when there are at least three agents. Then it is shown that a simple repeated application of our modified mechanism will distribute $k\;(>1)$ prizes efficiently in subgame perfect equilibria without any monetary transfers in equilibrium. Finally, in the multi-awards case we relax the...</n$,>
Persistent link: https://www.econbiz.de/10005063719
We study and compare law enforcement costs under two alternative burden of proof rules with the objective of reducing crime to a target level. We show that presuming innocence rather than guilt has a cost advantage, mainly due to lower costs of preventing collusion between law enforcers and...
Persistent link: https://www.econbiz.de/10005170229
We consider a multi-stage game of fund-raising to study the announcement strategy of a fund-raiser, who is privately informed about the number of potential contributors, with the objective of collecting maximal contributions for a public project. We show that whether the public project is convex...
Persistent link: https://www.econbiz.de/10005231243