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Analysis of the Sadism-Egoism-Altruism Model and Comparison of it to Related Models

Title data

Baumann, Michael Heinrich:
Analysis of the Sadism-Egoism-Altruism Model and Comparison of it to Related Models.
Bayreuth , 2025 . - 28 p.
DOI: https://doi.org/10.15495/EPub_UBT_00008639

Official URL: Volltext

Abstract in another language

We analyze the Sadism-Egoism-Altruism (SEA) Model from Baumann and Baumann (2025) analytically. We prove that every finite game does not only have an outcome that is plausible in the SEA model when allowing for randomized strategies, but also the existence of such an outcome in pure strategies. Further, we show that all fairness equilibria according to Rabin (1993) are plausible in the SEA model. Although typically many or even all pure-strategy outcomes can be SEA plausible in a game, this model gives deep insights into the structure of the game. Since along with the fact that outcomes are plausible there come ranges for parameters modeling sadism or altruism making the respective outcome plausible, the possible behavior of the agents can be understood. Comparisons to the Fehr-Schmidt und Bolton-Ockenfels models are done. Via the well-known Prisoner's dilemma the SEA model is illustrated for mixed strategies, too. This work opens doors for manifold future research.

Further data

Item Type: Working paper, discussion paper
Keywords: Game Theory; Fairness; Altruism; Sadism; Egoism; Prisoner's Dilemma; Anti-Social Punishment; Public Goods Game; Reciprocity; One-Shot Game
Subject classification: JEL codes: C72, D9; UDC: 519.83; MSC2020: 91A05, 91A10, 91A40
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Research Institutions
Research Institutions > Central research institutes
Result of work at the UBT: Yes
DDC Subjects: 300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Date Deposited: 01 Nov 2025 22:00
Last Modified: 03 Nov 2025 06:39
URI: https://eref.uni-bayreuth.de/id/eprint/95082