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Mean-field type games between two players driven by backward stochastic differential equations

Aurell, Alexander - In: Games 9 (2018) 4/88, pp. 1-26

In this paper, mean-field type games between two players with backward stochastic dynamics are defined and studied. They make up a class of non-zero-sum, non-cooperating, differential games where the players’ state dynamics solve backward stochastic differential equations (BSDE) that depend on...

Persistent link: https://www.econbiz.de/10012014876

Cooperation between emotional players

Andersson, Lina - In: Games 11 (2020) 4/45, pp. 1-16

This paper uses the framework of stochastic games to propose a model of emotions in repeated interactions. An emotional player can be in either a friendly, a neutral, or a hostile state of mind. The player transitions between the states of mind as a response to observed actions taken by the...

Persistent link: https://www.econbiz.de/10012432312

A stochastic characterization of the capture zone in pursuit-evasion games

Battistini, Simone - In: Games 11 (2020) 4/54, pp. 1-10

Pursuit-evasion games are used to define guidance strategies for multi-agent planning problems. Although optimal strategies exist for deterministic scenarios, in the case when information about the opponent players is imperfect, it is important to evaluate the effect of uncertainties on the...

Persistent link: https://www.econbiz.de/10012432389

On the Nash equilibria of a duel with terminal payoffs

Kehagias, Athanasios - In: Games 14 (2023) 5, pp. 1-12

We formulate and study a two-player duel game as a terminal payoffs stochastic game. Players 𝑃1,𝑃2 are standing in place and, in every turn, each may shoot at the other (in other words, abstention is allowed). If 𝑃𝑛 shoots 𝑃𝑚 (𝑚≠𝑛), either they hit and kill them (with...

Persistent link: https://www.econbiz.de/10014426539

(Un)bounded rationality in decision making and game theory : back to square one?

Güth, Werner; Kliemt, Hartmut - In: Games 1 (2010) 1, pp. 53-65

Game and decision theory start from rather strong premises. Preferences, represented by utilities, beliefs represented … language enabling us to capture the process leading to what is “given” seems superior to the stenography of decision making in …

Persistent link: https://www.econbiz.de/10009751382

Evidential equilibria : heuristics and biases in static games of complete information

Al-Nowaihi, Ali; Dhami, Sanjit S. - In: Games 6 (2015) 4, pp. 637-676

Standard equilibrium concepts in game theory find it difficult to explain the empirical evidence from a large number of static games, including the prisoner's dilemma game, the hawk-dove game, voting games, public goods games and oligopoly games. Under uncertainty about what others will do in...

Persistent link: https://www.econbiz.de/10011384070

Games over probability distributions revisited : new equilibrium models and refinements

Rass, Stefan; König, Sandra; Schauer, Stefan - In: Games 13 (2022) 6, pp. 1-26

This article is an overview of recent progress on a theory of games, whose payoffs are probability distributions rather than real numbers, and which have their equilibria defined and computed over a (suitably restricted yet dense) set of distributions. While the classical method of defining game...

Persistent link: https://www.econbiz.de/10014418196

Optimal decision rules in repeated games where players infer an opponent's mind via simplified belief calculation

Nakamura, Mitsuhiro; Ohtsuki, Hisashi - In: Games 7 (2016) 3, pp. 1-23

's unobservable state of mind. Using Markov decision processes, we investigate optimal decision rules and their performance in … optimal behavior through commitment-like decision rules by which players are committed to selecting the same action regardless … of their opponent's behavior. These commitment-like decision rules can enhance or reduce cooperation depending on the …

Persistent link: https://www.econbiz.de/10011515649

On rational choice and the representation of decision problems

Oliva, Paulo; Zahn, Philipp - In: Games 12 (2021) 4, pp. 1-21

represented to make their choice. In this paper, we model representations and decision procedures operating on them. We show that …

Persistent link: https://www.econbiz.de/10012698098

Behavioural isomorphism, cognitive economy and recursive thought in non-transitive game strategy

Dyson, Benjamin J. - In: Games 10 (2019) 3/32, pp. 1-14

methodologies for understanding decision-making under pressure. In the non-transitive game rock, paper, scissors (RPS), the only … behavior is thought to be outside bounded rationality and so decision-making can become deterministic, predictable, and …

Persistent link: https://www.econbiz.de/10012062319

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