A strategic approach to multiple estate division problems

D.G. Palvolgyi, H.J.M. Peters*, A.J. Vermeulen

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

The classical bankruptcy problem is extended by assuming that there are multiple estates. In the finite estate case, the agents have homogeneous preferences per estate, which may differ across estates. In the more general infinite estate problem, players have arbitrary preferences over an interval of real numbers each of which is regarded as an estate. A strategic estate game is formulated in which each agent distributes his legal entitlement over the estates, resulting in individual claims per estate: each estate is then divided according to some allocation rule. The paper focuses on existence and on computational aspects of Nash equilibria in finite and infinite estate games, with some focus on the proportional allocation rule. For this rule, it also studies Pareto optimality and envy-freeness of equilibrium allocations. (C) 2014 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)135-152
Number of pages18
JournalGames and Economic Behavior
Volume88
DOIs
Publication statusPublished - Nov 2014

Keywords

  • Bankruptcy problem
  • Multiple estate division
  • Non-cooperative estate division game
  • EXISTENCE
  • TALMUD
  • GAME-THEORETIC ANALYSIS
  • BANKRUPTCY
  • LAND

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