Competing for Loyalty: The Dynamics of Rallying Support
نویسندگان
چکیده
Proof of Proposition 4.1. We begin allowing a MPE in mixed strategies. When the leader meets follower i in state m, she makes an offer p(m) with probability γm ∈ [0, 1]. The follower accepts the offer with probability αm ∈ [0, 1]. Note that the follower i meeting the leader in state m accepts only if δwout(m−1)+p(m) ≥ δw(m), and accepts with probability one if this inequality holds strictly. Note that since i accepts offers p(m) > −δ[wout(m− 1)−w(m)] with probability one, then any such proposal cannot be offered in equilibrium, for L could make a lower offer and still get accepted. Thus, whenever L meets a follower i in state m, she offers
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Competing for Loyalty: the Dynamics of Rallying Support Matias Iaryczower and Santiago Oliveros
We consider a class of dynamic collective action problems in which either a single principal or two competing principals vie for the support of members of a group. We focus on the dynamic problem that emerges when agents negotiate and commit their support to principals sequentially. A danger for the agents in this context is that a principal may be able to succeed by exploiting competition amon...
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