Search arXiv⌕ Search

arXiv · 2610.14569

Robust Capital Budgeting

Abstract

We study capital budgeting when a manager privately knows project productivity and her empire-building benefits, while headquarters lacks credible priors. Headquarters minimizes maximum regret relative to informed investment. Without compensation, the optimal policy is a spending cap balancing empire-building overinvestment against profitable investment forgone. Compensation helps when empire-building incentives are weak. The optimal payment incentivizes restraint, declines with investment, and reaches zero at the spending cap, supporting greater managerial discretion. When empire-building incentives are strong, compensation cannot distinguish productive investment from biased expansion; therefore, a spending cap alone is optimal.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Yunzhi Hu, Fei Li, Hanqing Ye, Dihan Zou. 2026-10-10. Robust Capital Budgeting. https://arxiv.org/abs/2610.14569

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Action Volatility in a Changing World

We study how volatile agents' behavior is in a social learning environment with a changing state. We consider a simple sequential social learning model where rational agents arrive in order, each acting only once, and the underlying unknown state constantly evolves. Each agent receives a private signal, observes all past actions of others, and chooses an action to match the current state. Because the state changes over time, cascades cannot last forever, and actions also fluctuate. We show that actions change less often than private signals but, despite the presence of temporary information cascades, still more often than the underlying state in the long run.

econ.TH↗

Fair Division with Binary Valuations: Characterizations

We consider the fair allocation of indivisible goods with binary valuations. In this setting, the maximum Nash welfare rule, the leximin rule, and all additive welfarist rules with a strictly concave function coincide. We show that for any number of agents, this rule is the only rule that satisfies envy-freeness up to one good, strategyproofness, neutrality, minimal completeness, and invariance under disapproving unassigned goods (IDU). Moreover, we present an alternative characterization for two agents, where we replace IDU with non-redundancy and resource-monotonicity. In both characterizations, all axioms are necessary.

econ.TH↗

Ranking Experiments under Sequential Sampling

We rank experiments when a decision maker samples sequentially and chooses when to stop. We define two orders: large-budget dominance compares values in every decision problem once the expected-sample budget exceeds a common threshold; small-cost dominance compares values net of sampling costs when the cost per observation is sufficiently small in each problem. Generically, the orders coincide and are characterized by directed Kullback--Leibler (KL) dominance: larger KL divergence for every ordered pair of states. We also characterize the cost per copy of producing a specified experiment at scale by sampling a fixed source experiment. With a full-support prior, these cost functions are precisely sums of statewise maxima of positively weighted directed KL divergences. These costs are additive with two states but exhibit economies of scope with three or more states. Both results rest on an exact reproduction theorem: any experiment generated by sequentially sampling one source can be reproduced exactly by sampling another, with sharp first-order KL conversion rates and a square-root remainder whose coefficient depends only on the two sources.

econ.TH↗