This paper analyzes the pricing dynamics of product warranties by developing a three-player hierarchical game model involving a manufacturer, an independent service agent, and a consumer. The model provides a scenario where the manufacturer and the agent form a coalition to coordinate pricing...

We propose and characterize weighted-egalitarian values for cooperative transferable utility games. Each weighted-egalitarian value divides the worth of the grand coalition into two parts and allocates them through equality and proportionality based on exogenous player weights. We characterize...

Local governments often provide tax-subsidy programs to attract corporate investment. Using a game-theoretic real options model between a firm and a government, this paper aims to explore the interaction between the government's tax-subsidy policy and the firm's investment and financing...

We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players-constituting a hierarchical network. The power distribution embedded...

Experiment participants in a social dilemma game choose cooperation over defection, even though neither is more beneficial. High levels of cooperation cannot be explained by favorable labels for actions, collusion, k-level reasoning, quantal response behavior, or misplaced optimism about others'...

In this article, we extend the application of cooperative game theory to the so-called low-risk puzzle. Specifically, we apply concepts that consider hierarchies on the assets in the allocation of portfolio risk. These hierarchies have not previously been considered in portfolio risk allocation...

In two-sided markets with money, core stability and marginalism are often in conflict. We reconcile them with two main results. First, we show that in the assignment game (Shapley & Shubik, 1972), the Banzhaf value is core stable if and only if the game is exact. This is surprising for two...

We characterize 'Games of Altruistic Cooperation' as a class of games in which cooperation leaves the individual and the group of decision-makers worse off than defection, but favors individuals outside the group. An example is climate change mitigation. In this context, we experimentally...

This paper studies how competition between groups affects cooperation. In the control condition, pairs of subjects play an indefinitely repeated Prisoner's Dilemma game without external competition. In the treatment, two pairs compete against each other. No monetary rewards are tied to winning,...

We explore a broad class of values for cooperative games in characteristic function form, known as compromise values. These values efficiently allocate payoffs by linearly combining wellspecified upper and lower bounds on payoffs. We identify subclasses of games that admit nontrivial efficient...

Managing risk, matching resources efficiently, and ensuring fair allocation are fundamental challenges in both finance and decision-making processes. In many scenarios, participants contribute unequally to collective outcomes, raising the question of how to distribute costs, benefits, or...

We analyze infinitely repeated multiplayer prisoner's dilemmas in continuous-time experiments. As the number of players changes, our design keeps the payoffs of the all-defection, all-cooperation, and unilateral- defection and -cooperation outcomes constant, thus controlling for the minimum...

In symmetric games with externalities across coalitions, we investigate how three players form coalitions using two solutions: 𝐧∗, which is a focal prediction of coalition structure in a class of noncooperative coalitional bargaining games, and equilibrium binding agreements, which...

When several participants, working together, gained some amount of money, what is the fair way to distribute this amount between them? This is the problem that the future Nobelist Lloyd Shapley was working on when he proposed what is now called the Shapley value - a division uniquely determined...

We investigate the (a:b) Maker-Breaker subgraph game played on the edge set of the complete graph Kn, where n,a,b∈N, and Maker's objective is to construct a member of a prescribed family of graphs H, while Breaker aims to prevent this. In our study, Breaker moves first, and H is taken to be...

We investigate power indices for simple games with precoalitions which distribute power among players in an external and an internal step. We extend an existing approach which uses the Public Good index both on the external level in the quotient game as well as on the internal level for...

We propose and characterize weighted-egalitarian values for cooperative transferable utility games. Each weighted-egalitarian value divides the worth of the grand coalition into two parts and allocates them through equality and proportionality based on exogenous player weights. We characterize...

Purpose - As of December 2022, there were 119,000 gas stations, 10,800 gas stations and 4,488,000 charging piles nationwide, while the number of vehicles reached 312 million, including 11.49 million new energy vehicles. The imbalance between transportation energy supply and energy replenishment...

The per capita Shapley support levels value extends the Shapley value to cooperative games with a level structure. This value prevents symmetrical groups of players of different sizes from being treated equally. We use efficiency, additivity, the null player property, and two new properties to...