An axiomatic system of social motivations in dyadic relation: Potential existence of altruism and egalitarianism

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Abstract

The purpose of this paper is to deduce axiomatically a bilateral evaluation function that has various meanings on caring about the other e.g. equalitarian, maximin, competition etc. The evaluation function of one's and the other's payoffs looks like a little complicated including absolute value, but the function can be deduced from very simple axioms. Concretely speaking, the axioms are (1) comparable payoffs between actors and (2) positive affine transformation constancy on payoffs and evaluations respectively. These two axioms look like not including equality, but the evaluation function from the axioms includes equality. Because increasing affine transformation keeps the order property of payoffs. By the way the equality is defined as-|x-y| where x is one's payoff and y is the other's payoff. Then the asymmetric property of absolute value of equality originates from the asymmetric property of the order of payoffs.

Original languageEnglish
Pages (from-to)301-316
Number of pages16
JournalSociological Theory and Methods
Volume24
Issue number2
Publication statusPublished - 2009

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egalitarianism
altruism
equality
evaluation
speaking

Keywords

  • Caring
  • Increasing affine transformation
  • Interpersonal payoff comparison

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Sociology and Political Science

Cite this

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AB - The purpose of this paper is to deduce axiomatically a bilateral evaluation function that has various meanings on caring about the other e.g. equalitarian, maximin, competition etc. The evaluation function of one's and the other's payoffs looks like a little complicated including absolute value, but the function can be deduced from very simple axioms. Concretely speaking, the axioms are (1) comparable payoffs between actors and (2) positive affine transformation constancy on payoffs and evaluations respectively. These two axioms look like not including equality, but the evaluation function from the axioms includes equality. Because increasing affine transformation keeps the order property of payoffs. By the way the equality is defined as-|x-y| where x is one's payoff and y is the other's payoff. Then the asymmetric property of absolute value of equality originates from the asymmetric property of the order of payoffs.

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