We analyze a group all-pay auction with a group specific public good prize in which one group follows a weakest-link and the other group follows a best-shot impact function. This type of game depicts situations in which the best-shot group is an attacker and the other group is a defender. We...

This study analyzes a group contest in which one group (defenders) follows a weakest link whereas the other group (attackers) follows a best-shot impact function. We fully characterize the equilibria and show that with symmetric valuation the equilibrium is unique up to the permutation of the...

We investigate a group all-pay auction with weakest-link impact function and group-specific public good prize. Since only the minimum effort exerted among all group members represents the group effort and the group with the maximum group effort wins the contest, this is termed as the `Max-Min...

We analyze rent-seeking for a public good with two groups, where the provision of a public good is decided in the all-pay contest where “the winner takes all”. We assume that the valuation of the public good varies across groups, but is the same for all members within a group. Free-riding in...

<Para ID="Par1">We analyze an all-pay group contest in which individual members’ efforts are aggregated via the best-shot technology and the prize is a public good for the winning group. The interplay of within-group free-riding and across-group competition allows for a wide variety of equilibria, according...</para>

We provide a direct proof of the existence of perfect equilibria in finite normal form games and extensive games with perfect recall. It is done by constructing a correspondence whose fixed points are precisely the perfect equilibria of a given finite game. Existence of a fixed point is secured...

We investigate situations in which players make costly contributions as group mem- bers in a group conflict, and at the same time engage in contest with fellow group members to appropriate the possible reward. We introduce within group power asymmetry and complementarity in members' efforts and...

We analyze a group contest in which n groups compete to win a group-specific public good prize. Group sizes can be different and any individual player may value the prize differently within and across groups. Players expend costly efforts simultaneously and independently. Only the highest effort...

We find the sufficient conditions for the existence of multiple equilibria in Tullock-type contests and show that asymmetric equilibria may arise even under symmetric prize and cost structures. We also identify contests in the literature where multiple equilibria exist under reasonably weak...