We construct a stochastic model of a legislature with an endogenously determined seniority system. We model the behavior of the legislators as well as their constituents as an infinitely repeated divide-the-dollar game. The game has a stationary equilibrium with the property that the legislature imposes on itself a non-trivial seniority system, and that incumbent legislators are always reelected.
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McKelvey et al. (1992) studied this question.
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