Economic theory is used to analyze interactions between consumers, producers, participants of the market, but also ordinary men in the street using socalled game theory. Mathematical approach led economists to describe repetitive mechanisms of the behavior of people participating in the games. And here, by games we can understand almost all possible situations, where there is an interaction between at least two people – game theory allows to provide some insights into both: multi billion dollars business transactions as well as strategies of man and women on a first date. But the standard games theory assumes, that people benefit only from material profits, and, as psychology suggests this is not always the truth. In order to use mathematical language of game theory, often we have to deal with the solutions, that do not correspond with the decisions made in practice.
In this project, we are still taking game theory very seriously, and treat it as a useful tool, but we also allow players for altruistic behavior – which means that it is rational for them to make decisions that are not necessarily beneficial for their profits, but can provide satisfactions from wellbeing of other players. As many studies shows, this approach is much closer to a natural behavior of humans.
This game theory extension, that will be provided by us in this project, even though seems to be so simple and obvious, was never before implemented in the mathematical description of the interactions between people. Allowing players for empathetic decisions is a complex problem when it comes to a game theory. It provides more randomness to the games, and makes solutions no longer straightforward, as it was when the players was simply selfish.
Our project is mostly theoretical, but we will look at the aspect of empathy from several angles. First, we will analyze optimal strategies of players that are responsive to wellbeing of others. Second, we will look at the problem from the perspective of game designer who wants to provide and effective game for empathetic players. Third, we will analyze concrete relationship – between workers and managers, and how allowing for empathy correlate with business cycle and wages. Finally, we will test theoretical solutions in practice – by set of experiments we will provide evidence whether games theory shows the same mechanisms that we can observe between real people.

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Źródło finansowania  Financing: Narodowe Centrum Nauki, OPUS 17
Projekt realizowany  Timeline: 01/2020  12/2022
Kierownik  Principal Investigator: Marek Weretka
Budżet łączny  Total budget: 380 846 zł
 wynagrodzenia dla podstawowych wykonawców  compensation to researchers: 123 000 zł
 stypendia dla młodych badaczy  scholarships for young scholars: 108 000 zł
 komputery i oprogramowanie  hardware and software: 6 500 zł
 konferencje i inne wyjazdy  conference travels: 44 400 zł
 eksperymenty  experiments: 24 00 zł
 koszty pośrednie dla FAME  overheads for FAME: 90 000 zł
>>Research project objectives/ research hypothesis
The goal of the project is to identify the principles governing strategic interactions among players who directly derive positive or negative utility from the welfare of others. In particular, we will investigate the strategic incentives among empathetic players and contrast them with those among the egoistic players (including egoistic agents with altruistic motive and with preference for reciprocity). We will derive normative implications, useful in designing economic mechanisms that involve empathetic agents as well as provide testable implications of empathy.
>>Research project methodology
The traditional game theoretic framework does not take into account more complex (and in many contexts: more natural) human preferences such as empathy or altruism. We extend simple framework to allow players to care for utilities of others. We provide a solution concept and characterize an equilibrium set. Testable implications of empathy will be derived for particular games, and contrasted with those from the model having selfish and paternalistic agents. Theoretical solutions will be tested in laboratory experiments.
>>Expected impact of the research project on the development of science, civilization and society
We plan three research papers. In the first paper a noncooperative framework of the game with interdependent preferences of agents will be introduced. The payoffs within the game will depend not only on strategy profile (as in traditional framework), but also on preferences and welfare of other players. The dependency will be either positive (which will represent sympathy of a player) or negative (which will represent antipathy). In this paper we will provide a novel enrichment of Nash equilibrium structure by endowing players with deterministic beliefs on other players’ utilities. In the second paper, the problem will be considered from the perspective of a game designer who wants to provide an efficient outcome of an empathetic game. We will look at the relationship between business cycle and workers’ empathy towards employers. We will demonstrate that such setup provides micro foundations for a puzzling result in macroeconomics that changes in workers situation (wages and employment) vary less than productivity. Finally, the third paper will consist of set of laboratory experiments which will test the prevalence and characteristics of empathic games when compared to the conventional alternatives. The framework of empathetic games is built on a standard game theory, but assumption regarding preferences are derived from social science such as psychology and behavioral economics, which makes the model interdisciplinary tool for analyzing interactions between agents. Last paper will provide a proof for the usefulness of the new model and comparison between a novel approach proposed by us and traditional game theory approach.
Opublikowane  Published

Affective empathy in noncooperative games  Games and Economic Behavior Przeczytaj streszczenie  Read abstract
According to psychology, affective empathy is one of the key processes governing human interactions. It refers to the automatic transmission and diffusion of emotions in response to others' emotions, which gives rise to emotional contagion. Contrary to other forms of empathy, affective empathy has received little attention in economics. In this paper, we augment the standard gametheoretic framework by allowing players to affectively empathize. Players' utility functions depend not only on the strategy prole being played, but also on the realized utilities of other players. Thus, players' realized utilities are interdependent, capturing emotional contagion. We offer a solution concept for these empathetic games and show that the set of equilibria is nonempty and, generically, finite. Motivated by psychological evidence, we analyze sympathetic and antipathetic games. In the former, players' utilities increase in others' realized utilities, capturing unconditional friendship; whereas in the latter the opposite holds, resembling hostility.