Manipulation in games with multiple levels of output

Josep Freixas and Cameron Parker

Journal of Mathematical Economics, 2015, vol. 61, issue C, 144-151

Abstract: In (j,k)-games each player chooses amongst j ordered options and there are k possible outcomes. In this paper, we consider the case where players are assumed to prefer some outcomes to others, and note that when k>2 the players have an incentive to vote strategically. In doing so, we combine the theory of cooperative game theory with social choice theory, especially the theory of single-peaked preferences. We define the concept of a (j,k)-game with preferences and what it means for it to be manipulable by a player. We also consider Nash equilibriums with pure strategies for these games and find conditions that guarantee their existence.

Keywords: Cooperative Games; Insincere Voting; Nash Equilibrium; (j,k)-games; Single-peaked preferences (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:61:y:2015:i:c:p:144-151

DOI: 10.1016/j.jmateco.2015.08.007

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